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MultilevelHcurlHdivSolver_8cpp_source.html
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<li class="navelem"><a class="el" href="dir_91a531bd2464e2c6fce2455e0d45f88f.html">miniapps</a></li><li class="navelem"><a class="el" href="dir_b64ad2eb4417c61e7b23ec6e783fdeb0.html">parelag</a></li> </ul>
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<a href="MultilevelHcurlHdivSolver_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span><span class="comment">// Copyright (c) 2010-2025, Lawrence Livermore National Security, LLC. Produced</span></div>
<div class="line"><a id="l00002" name="l00002"></a><span class="lineno"> 2</span><span class="comment">// at the Lawrence Livermore National Laboratory. All Rights reserved. See files</span></div>
<div class="line"><a id="l00003" name="l00003"></a><span class="lineno"> 3</span><span class="comment">// LICENSE and NOTICE for details. LLNL-CODE-806117.</span></div>
<div class="line"><a id="l00004" name="l00004"></a><span class="lineno"> 4</span><span class="comment">//</span></div>
<div class="line"><a id="l00005" name="l00005"></a><span class="lineno"> 5</span><span class="comment">// This file is part of the MFEM library. For more information and source code</span></div>
<div class="line"><a id="l00006" name="l00006"></a><span class="lineno"> 6</span><span class="comment">// availability visit https://mfem.org.</span></div>
<div class="line"><a id="l00007" name="l00007"></a><span class="lineno"> 7</span><span class="comment">//</span></div>
<div class="line"><a id="l00008" name="l00008"></a><span class="lineno"> 8</span><span class="comment">// MFEM is free software; you can redistribute it and/or modify it under the</span></div>
<div class="line"><a id="l00009" name="l00009"></a><span class="lineno"> 9</span><span class="comment">// terms of the BSD-3 license. We welcome feedback and contributions, see file</span></div>
<div class="line"><a id="l00010" name="l00010"></a><span class="lineno"> 10</span><span class="comment">// CONTRIBUTING.md for details.</span></div>
<div class="line"><a id="l00011" name="l00011"></a><span class="lineno"> 11</span><span class="comment">//</span></div>
<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span><span class="comment">// ---------------------------------------------------</span></div>
<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span><span class="comment">// ParELAG Miniapp: AMGe solver for H(curl) and H(div)</span></div>
<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span><span class="comment">// ---------------------------------------------------</span></div>
<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span><span class="comment">//</span></div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span><span class="comment">// This miniapp employs MFEM and ParELAG to solve H(curl)- and H(div)-elliptic</span></div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span><span class="comment">// forms by an element based algebraic multigrid (AMGe). It uses: a multilevel</span></div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="comment">// hierarchy of de Rham complexes of finite element spaces, built by ParELAG;</span></div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span><span class="comment">// Hiptmair-type smoothers, implemented in ParELAG; and AMS (Auxiliary-space</span></div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span><span class="comment">// Maxwell Solver) or ADS (Auxiliary-space Divergence Solver), from HYPRE, for</span></div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span><span class="comment">// preconditioning or solving on the coarsest levels. See the README file in</span></div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span><span class="comment">// this directory for more details.</span></div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span><span class="comment">//</span></div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span><span class="comment">// Compile with: see README</span></div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span><span class="comment">//</span></div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span><span class="comment">// Sample runs: MultilevelHcurlHdivSolver -curl -f \</span></div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span><span class="comment">// MultilevelHcurlSolver_pipe_example_parameters.xml</span></div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span><span class="comment">// MultilevelHcurlHdivSolver -div -f \</span></div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span><span class="comment">// MultilevelHdivSolver_pipe_example_parameters.xml</span></div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span><span class="comment">//</span></div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span><span class="comment">// We recommend viewing MFEM's examples 3 and 4 before viewing this miniapp.</span></div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> </div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span><span class="preprocessor">#include <fstream></span></div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span><span class="preprocessor">#include <sstream></span></div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span><span class="preprocessor">#include <ostream></span></div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span><span class="preprocessor">#include <string></span></div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span><span class="preprocessor">#include <vector></span></div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span><span class="preprocessor">#include <memory></span></div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> </div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span><span class="preprocessor">#include <mpi.h></span></div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> </div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span><span class="preprocessor">#include "elag.hpp"</span></div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span><span class="preprocessor">#include "utilities/MPIDataTypes.hpp"</span></div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> </div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span><span class="keyword">using namespace </span><a class="code hl_namespace" href="namespacemfem.html">mfem</a>;</div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span><span class="keyword">using namespace </span>parelag;</div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span><span class="keyword">using namespace </span>std;</div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> </div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span><span class="keywordtype">void</span> <a class="code hl_function" href="MultilevelHcurlHdivSolver_8cpp.html#a7b603c672e44ed58fb1192a911c1044f">bdrfunc</a>(<span class="keyword">const</span> <a class="code hl_class" href="classmfem_1_1Vector.html">Vector</a> &, <a class="code hl_class" href="classmfem_1_1Vector.html">Vector</a> &);</div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span><span class="keywordtype">void</span> <a class="code hl_function" href="MultilevelHcurlHdivSolver_8cpp.html#a8150bd7f9da36096ae0fe7dc5b0b7dcb">rhsfunc</a>(<span class="keyword">const</span> <a class="code hl_class" href="classmfem_1_1Vector.html">Vector</a> &, <a class="code hl_class" href="classmfem_1_1Vector.html">Vector</a> &);</div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> </div>
<div class="foldopen" id="foldopen00052" data-start="{" data-end="}">
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"><a class="line" href="MultilevelHcurlHdivSolver_8cpp.html#a0ddf1224851353fc92bfbff6f499fa97"> 52</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="get__mumps__version_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>(<span class="keywordtype">int</span> argc, <span class="keywordtype">char</span> *argv[])</div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span>{</div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> <span class="comment">// Initialize MPI and HYPRE.</span></div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> <a class="code hl_function" href="classmfem_1_1Mpi.html#aff95cf6c26ceff1297e90859d549dbe0">Mpi::Init</a>();</div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> <span class="keywordtype">int</span> num_ranks = <a class="code hl_function" href="classmfem_1_1Mpi.html#abf2410b0d30926272e165a20f26cac19">Mpi::WorldSize</a>();</div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> <span class="keywordtype">int</span> myid = <a class="code hl_function" href="classmfem_1_1Mpi.html#ab87c1c95344bf5ec2094eef941f6d2ed">Mpi::WorldRank</a>();</div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> <a class="code hl_function" href="classmfem_1_1Hypre.html#a8f61b67367f87ee753aa9a38b8f6f9d7">Hypre::Init</a>();</div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> </div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> Timer total_timer = TimeManager::AddTimer(<span class="stringliteral">"Program Execution -- Total"</span>);</div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> Timer init_timer = TimeManager::AddTimer(<span class="stringliteral">"Initial Setup"</span>);</div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> </div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> <span class="keywordflow">if</span> (!myid)</div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> cout << <span class="stringliteral">"-- This is an example of using a geometric-like multilevel "</span></div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> <span class="stringliteral">"hierarchy, constructed by ParELAG,\n"</span></div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> <span class="stringliteral">"-- to solve respective finite element H(curl) and H(div) forms: \n"</span></div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> <span class="stringliteral">"(alpha curl u, curl v) + (beta u, v);\n"</span></div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> <span class="stringliteral">"(alpha div u, div v) + (beta u, v).\n\n"</span>;</div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> </div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> <span class="comment">// Get basic parameters from command line.</span></div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> <span class="keyword">const</span> <span class="keywordtype">char</span> *xml_file_c = NULL;</div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> <span class="keywordtype">bool</span> hcurl = <span class="keyword">true</span>;</div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="ex10_8cpp.html#a59d201f341fb1b7f6981074fa2653bba">visualize</a> = <span class="keyword">false</span>;</div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> tolSVD = 1e-3;</div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> <a class="code hl_class" href="classmfem_1_1OptionsParser.html">OptionsParser</a> args(argc, argv);</div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> args.<a class="code hl_function" href="classmfem_1_1OptionsParser.html#a89d9b7f6e802eee842a4405279ec49f8">AddOption</a>(&xml_file_c, <span class="stringliteral">"-f"</span>, <span class="stringliteral">"--xml-file"</span>,</div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> <span class="stringliteral">"XML parameter list (an XML file with detailed parameters)."</span>);</div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> args.<a class="code hl_function" href="classmfem_1_1OptionsParser.html#a89d9b7f6e802eee842a4405279ec49f8">AddOption</a>(&hcurl, <span class="stringliteral">"-curl"</span>, <span class="stringliteral">"--hcurl"</span>, <span class="stringliteral">"-div"</span>, <span class="stringliteral">"--hdiv"</span>,</div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> <span class="stringliteral">"Whether the H(curl) or H(div) form is being solved."</span>);</div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> args.<a class="code hl_function" href="classmfem_1_1OptionsParser.html#a89d9b7f6e802eee842a4405279ec49f8">AddOption</a>(&<a class="code hl_function" href="ex10_8cpp.html#a59d201f341fb1b7f6981074fa2653bba">visualize</a>, <span class="stringliteral">"-v"</span>, <span class="stringliteral">"--visualize"</span>, <span class="stringliteral">"-nv"</span>, <span class="stringliteral">"--no-visualize"</span>,</div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> <span class="stringliteral">"Use GLVis to visualize the final solution and the "</span></div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> <span class="stringliteral">"agglomerates."</span>);</div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> args.<a class="code hl_function" href="classmfem_1_1OptionsParser.html#a89d9b7f6e802eee842a4405279ec49f8">AddOption</a>(&tolSVD, <span class="stringliteral">"-s"</span>, <span class="stringliteral">"--svd-tol"</span>,</div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> <span class="stringliteral">"SVD tolerance. It is used for filtering out local linear "</span></div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> <span class="stringliteral">"dependencies in the basis construction and extension "</span></div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> <span class="stringliteral">"process in ParELAG. Namely, right singular vectors with "</span></div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> <span class="stringliteral">"singular values smaller than this tolerance are removed."</span>);</div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> args.<a class="code hl_function" href="classmfem_1_1OptionsParser.html#a40c1d9865e6d5f27331951c94ca34b9c">Parse</a>();</div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> <span class="keywordflow">if</span> (!args.<a class="code hl_function" href="classmfem_1_1OptionsParser.html#ab568767f32536deedad0fd2608f1343b">Good</a>())</div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> {</div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> <span class="keywordflow">if</span> (!myid)</div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> {</div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> args.<a class="code hl_function" href="classmfem_1_1OptionsParser.html#a61a6050096a67ab9c738720bfc808d7f">PrintUsage</a>(cout);</div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> }</div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> <span class="keywordflow">return</span> EXIT_FAILURE;</div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> }</div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> <span class="keywordflow">if</span> (!xml_file_c)</div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> {</div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> <span class="keywordflow">if</span> (hcurl)</div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> {</div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> xml_file_c = <span class="stringliteral">"MultilevelHcurlSolver_cube_example_parameters.xml"</span>;</div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> }</div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> {</div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> xml_file_c = <span class="stringliteral">"MultilevelHdivSolver_cube_example_parameters.xml"</span>;</div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> }</div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> <span class="keywordflow">if</span> (!myid)</div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> {</div>
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> cout << <span class="stringliteral">"No XML parameter list provided! Using default "</span></div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> << xml_file_c << <span class="stringliteral">"."</span> << endl;</div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> }</div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> }</div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> <span class="keywordflow">if</span> (!myid)</div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> {</div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> args.<a class="code hl_function" href="classmfem_1_1OptionsParser.html#a6472ddf18c64587578e66c232e5db415">PrintOptions</a>(cout);</div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> }</div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> <span class="keywordtype">string</span> xml_file(xml_file_c);</div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> </div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> <span class="comment">// Read and parse the detailed parameter list from file.</span></div>
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> unique_ptr<ParameterList> master_list;</div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> ifstream xml_in(xml_file);</div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> <span class="keywordflow">if</span> (!xml_in.good())</div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> {</div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> <span class="keywordflow">if</span> (!myid)</div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> {</div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> cerr << <span class="stringliteral">"ERROR: Cannot read from input file: "</span> << xml_file << <span class="stringliteral">".\n"</span>;</div>
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> }</div>
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> <span class="keywordflow">return</span> EXIT_FAILURE;</div>
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> }</div>
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> SimpleXMLParameterListReader reader;</div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> master_list = reader.GetParameterList(xml_in);</div>
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> xml_in.close();</div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span> </div>
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> <span class="comment">// General parameters for the problem.</span></div>
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> ParameterList& prob_list = master_list->Sublist(<span class="stringliteral">"Problem parameters"</span>, <span class="keyword">true</span>);</div>
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> </div>
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span> <span class="comment">// The file from which to read the mesh.</span></div>
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> <span class="keyword">const</span> <span class="keywordtype">string</span> meshfile = prob_list.Get(<span class="stringliteral">"Mesh file"</span>, <span class="stringliteral">""</span>);</div>
<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span> </div>
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> <span class="comment">// The number of times to refine in serial.</span></div>
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> <span class="comment">// Negative means refine until mesh is big enough to distribute, i.e.,</span></div>
<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> <span class="comment">// until the number of elements is 6 times the number of processes.</span></div>
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> <span class="keywordtype">int</span> ser_ref_levels = prob_list.Get(<span class="stringliteral">"Serial refinement levels"</span>, -1);</div>
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span> </div>
<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span> <span class="comment">// The number of times to refine in parallel. This determines the</span></div>
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span> <span class="comment">// number of levels in the AMGe hierarchy, if amge_levels is set to 0.</span></div>
<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span> <span class="keyword">const</span> <span class="keywordtype">int</span> par_ref_levels = prob_list.Get(<span class="stringliteral">"Parallel refinement levels"</span>, 2);</div>
<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span> </div>
<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span> <span class="comment">// Number of levels in the AMGe hierarchy. Should not be larger than</span></div>
<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span> <span class="comment">// par_ref_levels + 1. If set to 0, it will be interpreted as equal to</span></div>
<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span> <span class="comment">// par_ref_levels + 1.</span></div>
<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span> <span class="keyword">const</span> <span class="keywordtype">int</span> amge_levels = prob_list.Get(<span class="stringliteral">"AMGe levels"</span>, 0);</div>
<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span> </div>
<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"> 154</span> <span class="comment">// The order of the finite elements on the finest level.</span></div>
<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span> <span class="keyword">const</span> <span class="keywordtype">int</span> feorder = prob_list.Get(<span class="stringliteral">"Finite element order"</span>, 0);</div>
<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span> </div>
<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span> <span class="comment">// The order of the polynomials to include in the coarse spaces</span></div>
<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span> <span class="comment">// (after interpolating them onto the fine space).</span></div>
<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span> <span class="keyword">const</span> <span class="keywordtype">int</span> upscalingOrder = prob_list.Get(<span class="stringliteral">"Upscaling order"</span>, 0);</div>
<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span> </div>
<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span> <span class="comment">// A list of 1s and 0s stating which boundary attribute is appointed as</span></div>
<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span> <span class="comment">// essential. If only a single entry is given, it is applied to the whole</span></div>
<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"> 163</span> <span class="comment">// boundary. That is, if a single 0 is given the whole boundary is "natural",</span></div>
<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span> <span class="comment">// while a single 1 means that the whole boundary is essential.</span></div>
<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span> vector<int> par_ess_attr = prob_list.Get(<span class="stringliteral">"Essential attributes"</span>,</div>
<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span> vector<int> {1});</div>
<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span> </div>
<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span> <span class="comment">// A list of (piecewise) constant values for the coefficient 'alpha', in</span></div>
<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span> <span class="comment">// accordance with the mesh attributes. If only a single entry is given, it</span></div>
<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span> <span class="comment">// is applied to the whole mesh/domain.</span></div>
<div class="line"><a id="l00171" name="l00171"></a><span class="lineno"> 171</span> vector<real_t> alpha_vals = prob_list.Get(<span class="stringliteral">"alpha values"</span>,</div>
<div class="line"><a id="l00172" name="l00172"></a><span class="lineno"> 172</span> vector<real_t> {1.0});</div>
<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"> 173</span> </div>
<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span> <span class="comment">// A list of (piecewise) constant values for the coefficient 'beta', in</span></div>
<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"> 175</span> <span class="comment">// accordance with the mesh attributes. If only a single entry is given, it</span></div>
<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"> 176</span> <span class="comment">// is applied to the whole mesh/domain.</span></div>
<div class="line"><a id="l00177" name="l00177"></a><span class="lineno"> 177</span> vector<real_t> beta_vals = prob_list.Get(<span class="stringliteral">"beta values"</span>,</div>
<div class="line"><a id="l00178" name="l00178"></a><span class="lineno"> 178</span> vector<real_t> {1.0});</div>
<div class="line"><a id="l00179" name="l00179"></a><span class="lineno"> 179</span> </div>
<div class="line"><a id="l00180" name="l00180"></a><span class="lineno"> 180</span> <span class="comment">// The list of solvers to invoke.</span></div>
<div class="line"><a id="l00181" name="l00181"></a><span class="lineno"> 181</span> <span class="keyword">auto</span> list_of_solvers = prob_list.Get<list<string>>(<span class="stringliteral">"List of linear solvers"</span>);</div>
<div class="line"><a id="l00182" name="l00182"></a><span class="lineno"> 182</span> </div>
<div class="line"><a id="l00183" name="l00183"></a><span class="lineno"> 183</span> ostringstream mesh_msg;</div>
<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"> 184</span> <span class="keywordflow">if</span> (!myid)</div>
<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"> 185</span> {</div>
<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"> 186</span> mesh_msg << <span class="charliteral">'\n'</span> << string(50, <span class="charliteral">'*'</span>) << <span class="charliteral">'\n'</span></div>
<div class="line"><a id="l00187" name="l00187"></a><span class="lineno"> 187</span> << <span class="stringliteral">"* Mesh: "</span> << meshfile << <span class="stringliteral">"\n*\n"</span></div>
<div class="line"><a id="l00188" name="l00188"></a><span class="lineno"> 188</span> << <span class="stringliteral">"* FE order: "</span> << feorder << <span class="charliteral">'\n'</span></div>
<div class="line"><a id="l00189" name="l00189"></a><span class="lineno"> 189</span> << <span class="stringliteral">"* Upscaling order: "</span> << upscalingOrder << <span class="stringliteral">"\n*\n"</span>;</div>
<div class="line"><a id="l00190" name="l00190"></a><span class="lineno"> 190</span> }</div>
<div class="line"><a id="l00191" name="l00191"></a><span class="lineno"> 191</span> </div>
<div class="line"><a id="l00192" name="l00192"></a><span class="lineno"> 192</span> <span class="comment">// Read the (serial) mesh from the given mesh file and uniformly refine it.</span></div>
<div class="line"><a id="l00193" name="l00193"></a><span class="lineno"> 193</span> shared_ptr<ParMesh> pmesh;</div>
<div class="line"><a id="l00194" name="l00194"></a><span class="lineno"> 194</span> {</div>
<div class="line"><a id="l00195" name="l00195"></a><span class="lineno"> 195</span> <span class="keywordflow">if</span> (!myid)</div>
<div class="line"><a id="l00196" name="l00196"></a><span class="lineno"> 196</span> {</div>
<div class="line"><a id="l00197" name="l00197"></a><span class="lineno"> 197</span> cout << <span class="stringliteral">"\nReading and refining serial mesh...\n"</span>;</div>
<div class="line"><a id="l00198" name="l00198"></a><span class="lineno"> 198</span> cout << <span class="stringliteral">"Times to refine mesh in serial: "</span> << ser_ref_levels << <span class="stringliteral">".\n"</span>;</div>
<div class="line"><a id="l00199" name="l00199"></a><span class="lineno"> 199</span> }</div>
<div class="line"><a id="l00200" name="l00200"></a><span class="lineno"> 200</span> </div>
<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"> 201</span> ifstream imesh(meshfile);</div>
<div class="line"><a id="l00202" name="l00202"></a><span class="lineno"> 202</span> <span class="keywordflow">if</span> (!imesh)</div>
<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"> 203</span> {</div>
<div class="line"><a id="l00204" name="l00204"></a><span class="lineno"> 204</span> <span class="keywordflow">if</span> (!myid)</div>
<div class="line"><a id="l00205" name="l00205"></a><span class="lineno"> 205</span> {</div>
<div class="line"><a id="l00206" name="l00206"></a><span class="lineno"> 206</span> cerr << <span class="stringliteral">"ERROR: Cannot open mesh file: "</span> << meshfile << <span class="stringliteral">".\n"</span>;</div>
<div class="line"><a id="l00207" name="l00207"></a><span class="lineno"> 207</span> }</div>
<div class="line"><a id="l00208" name="l00208"></a><span class="lineno"> 208</span> <span class="keywordflow">return</span> EXIT_FAILURE;</div>
<div class="line"><a id="l00209" name="l00209"></a><span class="lineno"> 209</span> }</div>
<div class="line"><a id="l00210" name="l00210"></a><span class="lineno"> 210</span> </div>
<div class="line"><a id="l00211" name="l00211"></a><span class="lineno"> 211</span> <span class="keyword">auto</span> mesh = make_unique<Mesh>(imesh, <span class="keyword">true</span>, <span class="keyword">true</span>);</div>
<div class="line"><a id="l00212" name="l00212"></a><span class="lineno"> 212</span> imesh.close();</div>
<div class="line"><a id="l00213" name="l00213"></a><span class="lineno"> 213</span> </div>
<div class="line"><a id="l00214" name="l00214"></a><span class="lineno"> 214</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> l = 0; l < ser_ref_levels; ++l)</div>
<div class="line"><a id="l00215" name="l00215"></a><span class="lineno"> 215</span> {</div>
<div class="line"><a id="l00216" name="l00216"></a><span class="lineno"> 216</span> <span class="keywordflow">if</span> (!myid)</div>
<div class="line"><a id="l00217" name="l00217"></a><span class="lineno"> 217</span> {</div>
<div class="line"><a id="l00218" name="l00218"></a><span class="lineno"> 218</span> cout << <span class="stringliteral">"Refining mesh in serial: "</span> << l + 1 << <span class="stringliteral">"...\n"</span>;</div>
<div class="line"><a id="l00219" name="l00219"></a><span class="lineno"> 219</span> }</div>
<div class="line"><a id="l00220" name="l00220"></a><span class="lineno"> 220</span> mesh->UniformRefinement();</div>
<div class="line"><a id="l00221" name="l00221"></a><span class="lineno"> 221</span> }</div>
<div class="line"><a id="l00222" name="l00222"></a><span class="lineno"> 222</span> </div>
<div class="line"><a id="l00223" name="l00223"></a><span class="lineno"> 223</span> <span class="keywordflow">if</span> (ser_ref_levels < 0)</div>
<div class="line"><a id="l00224" name="l00224"></a><span class="lineno"> 224</span> {</div>
<div class="line"><a id="l00225" name="l00225"></a><span class="lineno"> 225</span> ser_ref_levels = 0;</div>
<div class="line"><a id="l00226" name="l00226"></a><span class="lineno"> 226</span> <span class="keywordflow">for</span> (; mesh->GetNE() < 6 * num_ranks; ++ser_ref_levels)</div>
<div class="line"><a id="l00227" name="l00227"></a><span class="lineno"> 227</span> {</div>
<div class="line"><a id="l00228" name="l00228"></a><span class="lineno"> 228</span> <span class="keywordflow">if</span> (!myid)</div>
<div class="line"><a id="l00229" name="l00229"></a><span class="lineno"> 229</span> {</div>
<div class="line"><a id="l00230" name="l00230"></a><span class="lineno"> 230</span> cout << <span class="stringliteral">"Refining mesh in serial: "</span> << ser_ref_levels + 1</div>
<div class="line"><a id="l00231" name="l00231"></a><span class="lineno"> 231</span> << <span class="stringliteral">"...\n"</span>;</div>
<div class="line"><a id="l00232" name="l00232"></a><span class="lineno"> 232</span> }</div>
<div class="line"><a id="l00233" name="l00233"></a><span class="lineno"> 233</span> mesh->UniformRefinement();</div>
<div class="line"><a id="l00234" name="l00234"></a><span class="lineno"> 234</span> }</div>
<div class="line"><a id="l00235" name="l00235"></a><span class="lineno"> 235</span> }</div>
<div class="line"><a id="l00236" name="l00236"></a><span class="lineno"> 236</span> </div>
<div class="line"><a id="l00237" name="l00237"></a><span class="lineno"> 237</span> <span class="keywordflow">if</span> (!myid)</div>
<div class="line"><a id="l00238" name="l00238"></a><span class="lineno"> 238</span> {</div>
<div class="line"><a id="l00239" name="l00239"></a><span class="lineno"> 239</span> cout << <span class="stringliteral">"Times refined mesh in serial: "</span> << ser_ref_levels << <span class="stringliteral">".\n"</span>;</div>
<div class="line"><a id="l00240" name="l00240"></a><span class="lineno"> 240</span> cout << <span class="stringliteral">"Building and refining parallel mesh...\n"</span>;</div>
<div class="line"><a id="l00241" name="l00241"></a><span class="lineno"> 241</span> cout << <span class="stringliteral">"Times to refine mesh in parallel: "</span> << par_ref_levels</div>
<div class="line"><a id="l00242" name="l00242"></a><span class="lineno"> 242</span> << <span class="stringliteral">".\n"</span>;</div>
<div class="line"><a id="l00243" name="l00243"></a><span class="lineno"> 243</span> mesh_msg << <span class="stringliteral">"* Serial refinements: "</span> << ser_ref_levels << <span class="charliteral">'\n'</span></div>
<div class="line"><a id="l00244" name="l00244"></a><span class="lineno"> 244</span> << <span class="stringliteral">"* Coarse mesh size: "</span> << mesh->GetNE() << <span class="stringliteral">"\n*\n"</span>;</div>
<div class="line"><a id="l00245" name="l00245"></a><span class="lineno"> 245</span> }</div>
<div class="line"><a id="l00246" name="l00246"></a><span class="lineno"> 246</span> </div>
<div class="line"><a id="l00247" name="l00247"></a><span class="lineno"> 247</span> pmesh = make_shared<ParMesh>(MPI_COMM_WORLD, *mesh);</div>
<div class="line"><a id="l00248" name="l00248"></a><span class="lineno"> 248</span> }</div>
<div class="line"><a id="l00249" name="l00249"></a><span class="lineno"> 249</span> </div>
<div class="line"><a id="l00250" name="l00250"></a><span class="lineno"> 250</span> <span class="comment">// Mark essential boundary attributes.</span></div>
<div class="line"><a id="l00251" name="l00251"></a><span class="lineno"> 251</span> MFEM_VERIFY(par_ess_attr.size() <= 1 ||</div>
<div class="line"><a id="l00252" name="l00252"></a><span class="lineno"> 252</span> par_ess_attr.size() == (<span class="keywordtype">unsigned</span>) pmesh->bdr_attributes.Max(),</div>
<div class="line"><a id="l00253" name="l00253"></a><span class="lineno"> 253</span> <span class="stringliteral">"Incorrect size of the essential attributes vector in parameters"</span></div>
<div class="line"><a id="l00254" name="l00254"></a><span class="lineno"> 254</span> <span class="stringliteral">" input."</span>);</div>
<div class="line"><a id="l00255" name="l00255"></a><span class="lineno"> 255</span> vector<Array<int>> ess_attr(1);</div>
<div class="line"><a id="l00256" name="l00256"></a><span class="lineno"> 256</span> ess_attr[0].SetSize(pmesh->bdr_attributes.Max());</div>
<div class="line"><a id="l00257" name="l00257"></a><span class="lineno"> 257</span> <span class="keywordflow">if</span> (par_ess_attr.size() == 0)</div>
<div class="line"><a id="l00258" name="l00258"></a><span class="lineno"> 258</span> {</div>
<div class="line"><a id="l00259" name="l00259"></a><span class="lineno"> 259</span> ess_attr[0] = 1;</div>
<div class="line"><a id="l00260" name="l00260"></a><span class="lineno"> 260</span> }</div>
<div class="line"><a id="l00261" name="l00261"></a><span class="lineno"> 261</span> <span class="keywordflow">else</span> <span class="keywordflow">if</span> (par_ess_attr.size() == 1)</div>
<div class="line"><a id="l00262" name="l00262"></a><span class="lineno"> 262</span> {</div>
<div class="line"><a id="l00263" name="l00263"></a><span class="lineno"> 263</span> ess_attr[0] = par_ess_attr[0];</div>
<div class="line"><a id="l00264" name="l00264"></a><span class="lineno"> 264</span> }</div>
<div class="line"><a id="l00265" name="l00265"></a><span class="lineno"> 265</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00266" name="l00266"></a><span class="lineno"> 266</span> {</div>
<div class="line"><a id="l00267" name="l00267"></a><span class="lineno"> 267</span> <span class="keywordflow">for</span> (<span class="keywordtype">unsigned</span> i = 0; i < par_ess_attr.size(); ++i)</div>
<div class="line"><a id="l00268" name="l00268"></a><span class="lineno"> 268</span> {</div>
<div class="line"><a id="l00269" name="l00269"></a><span class="lineno"> 269</span> ess_attr[0][i] = par_ess_attr[i];</div>
<div class="line"><a id="l00270" name="l00270"></a><span class="lineno"> 270</span> }</div>
<div class="line"><a id="l00271" name="l00271"></a><span class="lineno"> 271</span> }</div>
<div class="line"><a id="l00272" name="l00272"></a><span class="lineno"> 272</span> </div>
<div class="line"><a id="l00273" name="l00273"></a><span class="lineno"> 273</span> <span class="comment">// Initialize piecewise constant coefficients in the form.</span></div>
<div class="line"><a id="l00274" name="l00274"></a><span class="lineno"> 274</span> MFEM_VERIFY(alpha_vals.size() <= 1 ||</div>
<div class="line"><a id="l00275" name="l00275"></a><span class="lineno"> 275</span> alpha_vals.size() == (<span class="keywordtype">unsigned</span>) pmesh->attributes.Max(),</div>
<div class="line"><a id="l00276" name="l00276"></a><span class="lineno"> 276</span> <span class="stringliteral">"Incorrect size of the 'alpha' local values vector in parameters"</span></div>
<div class="line"><a id="l00277" name="l00277"></a><span class="lineno"> 277</span> <span class="stringliteral">" input."</span>);</div>
<div class="line"><a id="l00278" name="l00278"></a><span class="lineno"> 278</span> MFEM_VERIFY(alpha_vals.size() <= 1 ||</div>
<div class="line"><a id="l00279" name="l00279"></a><span class="lineno"> 279</span> alpha_vals.size() == (<span class="keywordtype">unsigned</span>) pmesh->attributes.Max(),</div>
<div class="line"><a id="l00280" name="l00280"></a><span class="lineno"> 280</span> <span class="stringliteral">"Incorrect size of the 'alpha' local values vector in parameters"</span></div>
<div class="line"><a id="l00281" name="l00281"></a><span class="lineno"> 281</span> <span class="stringliteral">" input."</span>);</div>
<div class="line"><a id="l00282" name="l00282"></a><span class="lineno"> 282</span> <a class="code hl_class" href="classmfem_1_1PWConstCoefficient.html">PWConstCoefficient</a> <a class="code hl_variable" href="ex15_8cpp.html#a7dc6cd505f60a008e9246be53a4d460d">alpha</a>(pmesh->attributes.Max());</div>
<div class="line"><a id="l00283" name="l00283"></a><span class="lineno"> 283</span> <a class="code hl_class" href="classmfem_1_1PWConstCoefficient.html">PWConstCoefficient</a> <a class="code hl_variable" href="convection-diffusion_8cpp.html#a20d35965a489ee0e4396d34b3867aaed">beta</a>(pmesh->attributes.Max());</div>
<div class="line"><a id="l00284" name="l00284"></a><span class="lineno"> 284</span> </div>
<div class="line"><a id="l00285" name="l00285"></a><span class="lineno"> 285</span> <span class="keywordflow">if</span> (alpha_vals.size() == 0)</div>
<div class="line"><a id="l00286" name="l00286"></a><span class="lineno"> 286</span> {</div>
<div class="line"><a id="l00287" name="l00287"></a><span class="lineno"> 287</span> <a class="code hl_variable" href="ex15_8cpp.html#a7dc6cd505f60a008e9246be53a4d460d">alpha</a> = 1.0;</div>
<div class="line"><a id="l00288" name="l00288"></a><span class="lineno"> 288</span> }</div>
<div class="line"><a id="l00289" name="l00289"></a><span class="lineno"> 289</span> <span class="keywordflow">else</span> <span class="keywordflow">if</span> (alpha_vals.size() == 1)</div>
<div class="line"><a id="l00290" name="l00290"></a><span class="lineno"> 290</span> {</div>
<div class="line"><a id="l00291" name="l00291"></a><span class="lineno"> 291</span> <a class="code hl_variable" href="ex15_8cpp.html#a7dc6cd505f60a008e9246be53a4d460d">alpha</a> = alpha_vals[0];</div>
<div class="line"><a id="l00292" name="l00292"></a><span class="lineno"> 292</span> }</div>
<div class="line"><a id="l00293" name="l00293"></a><span class="lineno"> 293</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00294" name="l00294"></a><span class="lineno"> 294</span> {</div>
<div class="line"><a id="l00295" name="l00295"></a><span class="lineno"> 295</span> <span class="keywordflow">for</span> (<span class="keywordtype">unsigned</span> i = 0; i < alpha_vals.size(); ++i)</div>
<div class="line"><a id="l00296" name="l00296"></a><span class="lineno"> 296</span> {</div>
<div class="line"><a id="l00297" name="l00297"></a><span class="lineno"> 297</span> <a class="code hl_variable" href="ex15_8cpp.html#a7dc6cd505f60a008e9246be53a4d460d">alpha</a>(i+1) = alpha_vals[i];</div>
<div class="line"><a id="l00298" name="l00298"></a><span class="lineno"> 298</span> }</div>
<div class="line"><a id="l00299" name="l00299"></a><span class="lineno"> 299</span> }</div>
<div class="line"><a id="l00300" name="l00300"></a><span class="lineno"> 300</span> </div>
<div class="line"><a id="l00301" name="l00301"></a><span class="lineno"> 301</span> <span class="keywordflow">if</span> (beta_vals.size() == 0)</div>
<div class="line"><a id="l00302" name="l00302"></a><span class="lineno"> 302</span> {</div>
<div class="line"><a id="l00303" name="l00303"></a><span class="lineno"> 303</span> <a class="code hl_variable" href="convection-diffusion_8cpp.html#a20d35965a489ee0e4396d34b3867aaed">beta</a> = 1.0;</div>
<div class="line"><a id="l00304" name="l00304"></a><span class="lineno"> 304</span> }</div>
<div class="line"><a id="l00305" name="l00305"></a><span class="lineno"> 305</span> <span class="keywordflow">else</span> <span class="keywordflow">if</span> (beta_vals.size() == 1)</div>
<div class="line"><a id="l00306" name="l00306"></a><span class="lineno"> 306</span> {</div>
<div class="line"><a id="l00307" name="l00307"></a><span class="lineno"> 307</span> <a class="code hl_variable" href="convection-diffusion_8cpp.html#a20d35965a489ee0e4396d34b3867aaed">beta</a> = beta_vals[0];</div>
<div class="line"><a id="l00308" name="l00308"></a><span class="lineno"> 308</span> }</div>
<div class="line"><a id="l00309" name="l00309"></a><span class="lineno"> 309</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00310" name="l00310"></a><span class="lineno"> 310</span> {</div>
<div class="line"><a id="l00311" name="l00311"></a><span class="lineno"> 311</span> <span class="keywordflow">for</span> (<span class="keywordtype">unsigned</span> i = 0; i < beta_vals.size(); ++i)</div>
<div class="line"><a id="l00312" name="l00312"></a><span class="lineno"> 312</span> {</div>
<div class="line"><a id="l00313" name="l00313"></a><span class="lineno"> 313</span> <a class="code hl_variable" href="convection-diffusion_8cpp.html#a20d35965a489ee0e4396d34b3867aaed">beta</a>(i+1) = beta_vals[i];</div>
<div class="line"><a id="l00314" name="l00314"></a><span class="lineno"> 314</span> }</div>
<div class="line"><a id="l00315" name="l00315"></a><span class="lineno"> 315</span> }</div>
<div class="line"><a id="l00316" name="l00316"></a><span class="lineno"> 316</span> </div>
<div class="line"><a id="l00317" name="l00317"></a><span class="lineno"> 317</span> <span class="comment">// Refine the mesh in parallel.</span></div>
<div class="line"><a id="l00318" name="l00318"></a><span class="lineno"> 318</span> <span class="keyword">const</span> <span class="keywordtype">int</span> nDimensions = pmesh->Dimension();</div>
<div class="line"><a id="l00319" name="l00319"></a><span class="lineno"> 319</span> </div>
<div class="line"><a id="l00320" name="l00320"></a><span class="lineno"> 320</span> <span class="comment">// This is mainly because AMS and ADS (at least the way ParELAG uses them)</span></div>
<div class="line"><a id="l00321" name="l00321"></a><span class="lineno"> 321</span> <span class="comment">// are bound to be used in 3D. Note that, for the purpose of demonstration,</span></div>
<div class="line"><a id="l00322" name="l00322"></a><span class="lineno"> 322</span> <span class="comment">// some of the code below is still constructed in a way that is applicable in</span></div>
<div class="line"><a id="l00323" name="l00323"></a><span class="lineno"> 323</span> <span class="comment">// 2D as well, taking into account that case as well. Also, in 2D, ParELAG</span></div>
<div class="line"><a id="l00324" name="l00324"></a><span class="lineno"> 324</span> <span class="comment">// defaults to H(div) interpretation of form 1.</span></div>
<div class="line"><a id="l00325" name="l00325"></a><span class="lineno"> 325</span> MFEM_VERIFY(nDimensions == 3, <span class="stringliteral">"Only 3D problems are currently supported."</span>);</div>
<div class="line"><a id="l00326" name="l00326"></a><span class="lineno"> 326</span> </div>
<div class="line"><a id="l00327" name="l00327"></a><span class="lineno"> 327</span> <span class="keyword">const</span> <span class="keywordtype">int</span> nLevels = amge_levels <= 0 ? par_ref_levels + 1 : amge_levels;</div>
<div class="line"><a id="l00328" name="l00328"></a><span class="lineno"> 328</span> MFEM_VERIFY(nLevels <= par_ref_levels + 1,</div>
<div class="line"><a id="l00329" name="l00329"></a><span class="lineno"> 329</span> <span class="stringliteral">"Number of AMGe levels too high relative to parallel"</span></div>
<div class="line"><a id="l00330" name="l00330"></a><span class="lineno"> 330</span> <span class="stringliteral">" refinements."</span>);</div>
<div class="line"><a id="l00331" name="l00331"></a><span class="lineno"> 331</span> vector<int> level_nElements(nLevels);</div>
<div class="line"><a id="l00332" name="l00332"></a><span class="lineno"> 332</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> l = 0; l < par_ref_levels; ++l)</div>
<div class="line"><a id="l00333" name="l00333"></a><span class="lineno"> 333</span> {</div>
<div class="line"><a id="l00334" name="l00334"></a><span class="lineno"> 334</span> <span class="keywordflow">if</span> (!myid)</div>
<div class="line"><a id="l00335" name="l00335"></a><span class="lineno"> 335</span> {</div>
<div class="line"><a id="l00336" name="l00336"></a><span class="lineno"> 336</span> cout << <span class="stringliteral">"Refining mesh in parallel: "</span> << l + 1</div>
<div class="line"><a id="l00337" name="l00337"></a><span class="lineno"> 337</span> << (par_ref_levels - l > nLevels ? <span class="stringliteral">" (not in hierarchy)"</span></div>
<div class="line"><a id="l00338" name="l00338"></a><span class="lineno"> 338</span> : <span class="stringliteral">" (in hierarchy)"</span>)</div>
<div class="line"><a id="l00339" name="l00339"></a><span class="lineno"> 339</span> << <span class="stringliteral">"...\n"</span>;</div>
<div class="line"><a id="l00340" name="l00340"></a><span class="lineno"> 340</span> }</div>
<div class="line"><a id="l00341" name="l00341"></a><span class="lineno"> 341</span> <span class="keywordflow">if</span> (par_ref_levels - l < nLevels)</div>
<div class="line"><a id="l00342" name="l00342"></a><span class="lineno"> 342</span> {</div>
<div class="line"><a id="l00343" name="l00343"></a><span class="lineno"> 343</span> level_nElements[par_ref_levels - l] = pmesh->GetNE();</div>
<div class="line"><a id="l00344" name="l00344"></a><span class="lineno"> 344</span> }</div>
<div class="line"><a id="l00345" name="l00345"></a><span class="lineno"> 345</span> pmesh->UniformRefinement();</div>
<div class="line"><a id="l00346" name="l00346"></a><span class="lineno"> 346</span> }</div>
<div class="line"><a id="l00347" name="l00347"></a><span class="lineno"> 347</span> level_nElements[0] = pmesh->GetNE();</div>
<div class="line"><a id="l00348" name="l00348"></a><span class="lineno"> 348</span> </div>
<div class="line"><a id="l00349" name="l00349"></a><span class="lineno"> 349</span> <span class="keywordflow">if</span> (!myid)</div>
<div class="line"><a id="l00350" name="l00350"></a><span class="lineno"> 350</span> {</div>
<div class="line"><a id="l00351" name="l00351"></a><span class="lineno"> 351</span> cout << <span class="stringliteral">"Times refined mesh in parallel: "</span> << par_ref_levels << <span class="stringliteral">".\n"</span>;</div>
<div class="line"><a id="l00352" name="l00352"></a><span class="lineno"> 352</span> }</div>
<div class="line"><a id="l00353" name="l00353"></a><span class="lineno"> 353</span> </div>
<div class="line"><a id="l00354" name="l00354"></a><span class="lineno"> 354</span> {</div>
<div class="line"><a id="l00355" name="l00355"></a><span class="lineno"> 355</span> <span class="keywordtype">size_t</span> local_num_elmts = pmesh->GetNE(), global_num_elmts;</div>
<div class="line"><a id="l00356" name="l00356"></a><span class="lineno"> 356</span> MPI_Reduce(&local_num_elmts, &global_num_elmts, 1, GetMPIType<size_t>(0),</div>
<div class="line"><a id="l00357" name="l00357"></a><span class="lineno"> 357</span> MPI_SUM, 0, MPI_COMM_WORLD);</div>
<div class="line"><a id="l00358" name="l00358"></a><span class="lineno"> 358</span> <span class="keywordflow">if</span> (!myid)</div>
<div class="line"><a id="l00359" name="l00359"></a><span class="lineno"> 359</span> {</div>
<div class="line"><a id="l00360" name="l00360"></a><span class="lineno"> 360</span> mesh_msg << <span class="stringliteral">"* Parallel refinements: "</span> << par_ref_levels << <span class="charliteral">'\n'</span></div>
<div class="line"><a id="l00361" name="l00361"></a><span class="lineno"> 361</span> << <span class="stringliteral">"* Fine mesh size: "</span> << global_num_elmts << <span class="charliteral">'\n'</span></div>
<div class="line"><a id="l00362" name="l00362"></a><span class="lineno"> 362</span> << <span class="stringliteral">"* Total levels: "</span> << nLevels << <span class="charliteral">'\n'</span></div>
<div class="line"><a id="l00363" name="l00363"></a><span class="lineno"> 363</span> << string(50, <span class="charliteral">'*'</span>) << <span class="stringliteral">"\n\n"</span>;</div>
<div class="line"><a id="l00364" name="l00364"></a><span class="lineno"> 364</span> }</div>
<div class="line"><a id="l00365" name="l00365"></a><span class="lineno"> 365</span> }</div>
<div class="line"><a id="l00366" name="l00366"></a><span class="lineno"> 366</span> </div>
<div class="line"><a id="l00367" name="l00367"></a><span class="lineno"> 367</span> <span class="keywordflow">if</span> (!myid)</div>
<div class="line"><a id="l00368" name="l00368"></a><span class="lineno"> 368</span> {</div>
<div class="line"><a id="l00369" name="l00369"></a><span class="lineno"> 369</span> cout << mesh_msg.str();</div>
<div class="line"><a id="l00370" name="l00370"></a><span class="lineno"> 370</span> }</div>
<div class="line"><a id="l00371" name="l00371"></a><span class="lineno"> 371</span> init_timer.Stop();</div>
<div class="line"><a id="l00372" name="l00372"></a><span class="lineno"> 372</span> </div>
<div class="line"><a id="l00373" name="l00373"></a><span class="lineno"> 373</span> <span class="comment">// Obtain the hierarchy of agglomerate topologies.</span></div>
<div class="line"><a id="l00374" name="l00374"></a><span class="lineno"> 374</span> Timer agg_timer = TimeManager::AddTimer(<span class="stringliteral">"Mesh Agglomeration -- Total"</span>);</div>
<div class="line"><a id="l00375" name="l00375"></a><span class="lineno"> 375</span> Timer agg0_timer = TimeManager::AddTimer(<span class="stringliteral">"Mesh Agglomeration -- Level 0"</span>);</div>
<div class="line"><a id="l00376" name="l00376"></a><span class="lineno"> 376</span> <span class="keywordflow">if</span> (!myid)</div>
<div class="line"><a id="l00377" name="l00377"></a><span class="lineno"> 377</span> {</div>
<div class="line"><a id="l00378" name="l00378"></a><span class="lineno"> 378</span> cout << <span class="stringliteral">"Agglomerating topology for "</span> << nLevels - 1</div>
<div class="line"><a id="l00379" name="l00379"></a><span class="lineno"> 379</span> << <span class="stringliteral">" coarse levels...\n"</span>;</div>
<div class="line"><a id="l00380" name="l00380"></a><span class="lineno"> 380</span> }</div>
<div class="line"><a id="l00381" name="l00381"></a><span class="lineno"> 381</span> </div>
<div class="line"><a id="l00382" name="l00382"></a><span class="lineno"> 382</span> <span class="keyword">constexpr</span> <span class="keyword">auto</span> AT_elem = AgglomeratedTopology::ELEMENT;</div>
<div class="line"><a id="l00383" name="l00383"></a><span class="lineno"> 383</span> <span class="comment">// This partitioner simply geometrically coarsens the mesh by recovering the</span></div>
<div class="line"><a id="l00384" name="l00384"></a><span class="lineno"> 384</span> <span class="comment">// geometric coarse elements as agglomerate elements. That is, it reverts the</span></div>
<div class="line"><a id="l00385" name="l00385"></a><span class="lineno"> 385</span> <span class="comment">// MFEM uniform refinement procedure to provide agglomeration.</span></div>
<div class="line"><a id="l00386" name="l00386"></a><span class="lineno"> 386</span> MFEMRefinedMeshPartitioner partitioner(nDimensions);</div>
<div class="line"><a id="l00387" name="l00387"></a><span class="lineno"> 387</span> vector<shared_ptr<AgglomeratedTopology>> topology(nLevels);</div>
<div class="line"><a id="l00388" name="l00388"></a><span class="lineno"> 388</span> </div>
<div class="line"><a id="l00389" name="l00389"></a><span class="lineno"> 389</span> <span class="keywordflow">if</span> (!myid)</div>
<div class="line"><a id="l00390" name="l00390"></a><span class="lineno"> 390</span> {</div>
<div class="line"><a id="l00391" name="l00391"></a><span class="lineno"> 391</span> cout << <span class="stringliteral">"Agglomerating level: 0...\n"</span>;</div>
<div class="line"><a id="l00392" name="l00392"></a><span class="lineno"> 392</span> }</div>
<div class="line"><a id="l00393" name="l00393"></a><span class="lineno"> 393</span> </div>
<div class="line"><a id="l00394" name="l00394"></a><span class="lineno"> 394</span> topology[0] = make_shared<AgglomeratedTopology>(pmesh, nDimensions);</div>
<div class="line"><a id="l00395" name="l00395"></a><span class="lineno"> 395</span> </div>
<div class="line"><a id="l00396" name="l00396"></a><span class="lineno"> 396</span> <span class="keywordflow">if</span> (!myid)</div>
<div class="line"><a id="l00397" name="l00397"></a><span class="lineno"> 397</span> {</div>
<div class="line"><a id="l00398" name="l00398"></a><span class="lineno"> 398</span> cout << <span class="stringliteral">"Level 0 global number of mesh entities: "</span></div>
<div class="line"><a id="l00399" name="l00399"></a><span class="lineno"> 399</span> << topology[0]-></div>
<div class="line"><a id="l00400" name="l00400"></a><span class="lineno"> 400</span> GetNumberGlobalTrueEntities((AgglomeratedTopology::Entity)0);</div>
<div class="line"><a id="l00401" name="l00401"></a><span class="lineno"> 401</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 1; j <= nDimensions; ++j)</div>
<div class="line"><a id="l00402" name="l00402"></a><span class="lineno"> 402</span> cout << <span class="stringliteral">", "</span> << topology[0]-></div>
<div class="line"><a id="l00403" name="l00403"></a><span class="lineno"> 403</span> GetNumberGlobalTrueEntities((AgglomeratedTopology::Entity)j);</div>
<div class="line"><a id="l00404" name="l00404"></a><span class="lineno"> 404</span> cout << endl;</div>
<div class="line"><a id="l00405" name="l00405"></a><span class="lineno"> 405</span> }</div>
<div class="line"><a id="l00406" name="l00406"></a><span class="lineno"> 406</span> </div>
<div class="line"><a id="l00407" name="l00407"></a><span class="lineno"> 407</span> agg0_timer.Stop();</div>
<div class="line"><a id="l00408" name="l00408"></a><span class="lineno"> 408</span> </div>
<div class="line"><a id="l00409" name="l00409"></a><span class="lineno"> 409</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> l = 0; l < nLevels - 1; ++l)</div>
<div class="line"><a id="l00410" name="l00410"></a><span class="lineno"> 410</span> {</div>
<div class="line"><a id="l00411" name="l00411"></a><span class="lineno"> 411</span> Timer aggl_timer = TimeManager::AddTimer(std::string(<span class="stringliteral">"Mesh "</span></div>
<div class="line"><a id="l00412" name="l00412"></a><span class="lineno"> 412</span> <span class="stringliteral">"Agglomeration -- Level "</span>).</div>
<div class="line"><a id="l00413" name="l00413"></a><span class="lineno"> 413</span> append(std::to_string(l+1)));</div>
<div class="line"><a id="l00414" name="l00414"></a><span class="lineno"> 414</span> <a class="code hl_class" href="classmfem_1_1Array.html">Array<int></a> partitioning(topology[l]->GetNumberLocalEntities(AT_elem));</div>
<div class="line"><a id="l00415" name="l00415"></a><span class="lineno"> 415</span> partitioner.Partition(topology[l]->GetNumberLocalEntities(AT_elem),</div>
<div class="line"><a id="l00416" name="l00416"></a><span class="lineno"> 416</span> level_nElements[l + 1], partitioning);</div>
<div class="line"><a id="l00417" name="l00417"></a><span class="lineno"> 417</span> </div>
<div class="line"><a id="l00418" name="l00418"></a><span class="lineno"> 418</span> <span class="keywordflow">if</span> (!myid)</div>
<div class="line"><a id="l00419" name="l00419"></a><span class="lineno"> 419</span> {</div>
<div class="line"><a id="l00420" name="l00420"></a><span class="lineno"> 420</span> cout << <span class="stringliteral">"Agglomerating level: "</span> << l + 1 << <span class="stringliteral">"...\n"</span>;</div>
<div class="line"><a id="l00421" name="l00421"></a><span class="lineno"> 421</span> }</div>
<div class="line"><a id="l00422" name="l00422"></a><span class="lineno"> 422</span> </div>
<div class="line"><a id="l00423" name="l00423"></a><span class="lineno"> 423</span> topology[l + 1] = topology[l]->CoarsenLocalPartitioning(partitioning,</div>
<div class="line"><a id="l00424" name="l00424"></a><span class="lineno"> 424</span> <span class="keyword">false</span>, <span class="keyword">false</span>, 2);</div>
<div class="line"><a id="l00425" name="l00425"></a><span class="lineno"> 425</span> <span class="keywordflow">if</span> (!myid)</div>
<div class="line"><a id="l00426" name="l00426"></a><span class="lineno"> 426</span> {</div>
<div class="line"><a id="l00427" name="l00427"></a><span class="lineno"> 427</span> cout << <span class="stringliteral">"Level "</span> << l + 1 << <span class="stringliteral">" global number of mesh entities: "</span></div>
<div class="line"><a id="l00428" name="l00428"></a><span class="lineno"> 428</span> << topology[l + 1]-></div>
<div class="line"><a id="l00429" name="l00429"></a><span class="lineno"> 429</span> GetNumberGlobalTrueEntities((AgglomeratedTopology::Entity)0);</div>
<div class="line"><a id="l00430" name="l00430"></a><span class="lineno"> 430</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 1; j <= nDimensions; ++j)</div>
<div class="line"><a id="l00431" name="l00431"></a><span class="lineno"> 431</span> {</div>
<div class="line"><a id="l00432" name="l00432"></a><span class="lineno"> 432</span> cout << <span class="stringliteral">", "</span> << topology[l + 1]-></div>
<div class="line"><a id="l00433" name="l00433"></a><span class="lineno"> 433</span> GetNumberGlobalTrueEntities((AgglomeratedTopology::Entity)j);</div>
<div class="line"><a id="l00434" name="l00434"></a><span class="lineno"> 434</span> }</div>
<div class="line"><a id="l00435" name="l00435"></a><span class="lineno"> 435</span> cout << endl;</div>
<div class="line"><a id="l00436" name="l00436"></a><span class="lineno"> 436</span> }</div>
<div class="line"><a id="l00437" name="l00437"></a><span class="lineno"> 437</span> }</div>
<div class="line"><a id="l00438" name="l00438"></a><span class="lineno"> 438</span> </div>
<div class="line"><a id="l00439" name="l00439"></a><span class="lineno"> 439</span> agg_timer.Stop();</div>
<div class="line"><a id="l00440" name="l00440"></a><span class="lineno"> 440</span> </div>
<div class="line"><a id="l00441" name="l00441"></a><span class="lineno"> 441</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="ex10_8cpp.html#a59d201f341fb1b7f6981074fa2653bba">visualize</a> && nDimensions <= 3)</div>
<div class="line"><a id="l00442" name="l00442"></a><span class="lineno"> 442</span> {</div>
<div class="line"><a id="l00443" name="l00443"></a><span class="lineno"> 443</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> l = 1; l < nLevels; ++l)</div>
<div class="line"><a id="l00444" name="l00444"></a><span class="lineno"> 444</span> {</div>
<div class="line"><a id="l00445" name="l00445"></a><span class="lineno"> 445</span> ShowTopologyAgglomeratedElements(topology[l].get(), pmesh.get());</div>
<div class="line"><a id="l00446" name="l00446"></a><span class="lineno"> 446</span> }</div>
<div class="line"><a id="l00447" name="l00447"></a><span class="lineno"> 447</span> }</div>
<div class="line"><a id="l00448" name="l00448"></a><span class="lineno"> 448</span> </div>
<div class="line"><a id="l00449" name="l00449"></a><span class="lineno"> 449</span> <span class="comment">// Construct the hierarchy of spaces, thus forming a hierarchy of (partial)</span></div>
<div class="line"><a id="l00450" name="l00450"></a><span class="lineno"> 450</span> <span class="comment">// de Rham sequences.</span></div>
<div class="line"><a id="l00451" name="l00451"></a><span class="lineno"> 451</span> Timer derham_timer = TimeManager::AddTimer(<span class="stringliteral">"DeRhamSequence Construction -- "</span></div>
<div class="line"><a id="l00452" name="l00452"></a><span class="lineno"> 452</span> <span class="stringliteral">"Total"</span>);</div>
<div class="line"><a id="l00453" name="l00453"></a><span class="lineno"> 453</span> Timer derham0_timer = TimeManager::AddTimer(<span class="stringliteral">"DeRhamSequence Construction -- "</span></div>
<div class="line"><a id="l00454" name="l00454"></a><span class="lineno"> 454</span> <span class="stringliteral">"Level 0"</span>);</div>
<div class="line"><a id="l00455" name="l00455"></a><span class="lineno"> 455</span> <span class="keywordflow">if</span> (!myid)</div>
<div class="line"><a id="l00456" name="l00456"></a><span class="lineno"> 456</span> {</div>
<div class="line"><a id="l00457" name="l00457"></a><span class="lineno"> 457</span> cout << <span class="stringliteral">"Building the fine-level de Rham sequence...\n"</span>;</div>
<div class="line"><a id="l00458" name="l00458"></a><span class="lineno"> 458</span> }</div>
<div class="line"><a id="l00459" name="l00459"></a><span class="lineno"> 459</span> </div>
<div class="line"><a id="l00460" name="l00460"></a><span class="lineno"> 460</span> vector<shared_ptr<DeRhamSequence>> sequence(topology.size());</div>
<div class="line"><a id="l00461" name="l00461"></a><span class="lineno"> 461</span> </div>
<div class="line"><a id="l00462" name="l00462"></a><span class="lineno"> 462</span> <span class="keyword">const</span> <span class="keywordtype">int</span> jform = DeRhamSequence::GetForm(nDimensions,</div>
<div class="line"><a id="l00463" name="l00463"></a><span class="lineno"> 463</span> hcurl ? DeRhamSequence::HCURL :</div>
<div class="line"><a id="l00464" name="l00464"></a><span class="lineno"> 464</span> DeRhamSequence::HDIV);</div>
<div class="line"><a id="l00465" name="l00465"></a><span class="lineno"> 465</span> <span class="keywordflow">if</span> (nDimensions == 3)</div>
<div class="line"><a id="l00466" name="l00466"></a><span class="lineno"> 466</span> {</div>
<div class="line"><a id="l00467" name="l00467"></a><span class="lineno"> 467</span> sequence[0] = make_shared<DeRhamSequence3D_FE>(topology[0], pmesh.get(),</div>
<div class="line"><a id="l00468" name="l00468"></a><span class="lineno"> 468</span> feorder, <span class="keyword">true</span>, <span class="keyword">false</span>);</div>
<div class="line"><a id="l00469" name="l00469"></a><span class="lineno"> 469</span> }</div>
<div class="line"><a id="l00470" name="l00470"></a><span class="lineno"> 470</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00471" name="l00471"></a><span class="lineno"> 471</span> {</div>
<div class="line"><a id="l00472" name="l00472"></a><span class="lineno"> 472</span> MFEM_VERIFY(nDimensions == 2, <span class="stringliteral">"Only 2D or 3D problems are supported "</span></div>
<div class="line"><a id="l00473" name="l00473"></a><span class="lineno"> 473</span> <span class="stringliteral">"by the utilized ParELAG."</span>);</div>
<div class="line"><a id="l00474" name="l00474"></a><span class="lineno"> 474</span> <span class="keywordflow">if</span> (hcurl)</div>
<div class="line"><a id="l00475" name="l00475"></a><span class="lineno"> 475</span> {</div>
<div class="line"><a id="l00476" name="l00476"></a><span class="lineno"> 476</span> MFEM_ABORT(<span class="stringliteral">"No H(curl) 2D interpretation of form 1 is implemented."</span>);</div>
<div class="line"><a id="l00477" name="l00477"></a><span class="lineno"> 477</span> }</div>
<div class="line"><a id="l00478" name="l00478"></a><span class="lineno"> 478</span> sequence[0] = make_shared<DeRhamSequence2D_Hdiv_FE>(topology[0],</div>
<div class="line"><a id="l00479" name="l00479"></a><span class="lineno"> 479</span> pmesh.get(), feorder,</div>
<div class="line"><a id="l00480" name="l00480"></a><span class="lineno"> 480</span> <span class="keyword">true</span>, <span class="keyword">false</span>);</div>
<div class="line"><a id="l00481" name="l00481"></a><span class="lineno"> 481</span> }</div>
<div class="line"><a id="l00482" name="l00482"></a><span class="lineno"> 482</span> </div>
<div class="line"><a id="l00483" name="l00483"></a><span class="lineno"> 483</span> <span class="comment">// To build H(curl) (form 1 in 3D), it is needed to obtain all forms and</span></div>
<div class="line"><a id="l00484" name="l00484"></a><span class="lineno"> 484</span> <span class="comment">// spaces with larger indices. To use the so called "Hiptmair smoothers", a</span></div>
<div class="line"><a id="l00485" name="l00485"></a><span class="lineno"> 485</span> <span class="comment">// one form lower is needed (H1, form 0). Anyway, to use AMS all forms and</span></div>
<div class="line"><a id="l00486" name="l00486"></a><span class="lineno"> 486</span> <span class="comment">// spaces to H1 (0 form) are needed. Therefore, the entire de Rham complex is</span></div>
<div class="line"><a id="l00487" name="l00487"></a><span class="lineno"> 487</span> <span class="comment">// constructed.</span></div>
<div class="line"><a id="l00488" name="l00488"></a><span class="lineno"> 488</span> <span class="comment">// To build H(div) (form 2 in 3D), it is needed to obtain all forms and</span></div>
<div class="line"><a id="l00489" name="l00489"></a><span class="lineno"> 489</span> <span class="comment">// spaces with larger indices. To use the so called "Hiptmair smoothers", a</span></div>
<div class="line"><a id="l00490" name="l00490"></a><span class="lineno"> 490</span> <span class="comment">// one form lower is needed (H(curl), form 1, in 3D). To use AMS and ADS, all</span></div>
<div class="line"><a id="l00491" name="l00491"></a><span class="lineno"> 491</span> <span class="comment">// forms and spaces to H1 (0 form) are needed. Therefore, the entire de Rham</span></div>
<div class="line"><a id="l00492" name="l00492"></a><span class="lineno"> 492</span> <span class="comment">// complex is constructed.</span></div>
<div class="line"><a id="l00493" name="l00493"></a><span class="lineno"> 493</span> sequence[0]->SetjformStart(0);</div>
<div class="line"><a id="l00494" name="l00494"></a><span class="lineno"> 494</span> </div>
<div class="line"><a id="l00495" name="l00495"></a><span class="lineno"> 495</span> DeRhamSequenceFE *DRSequence_FE = sequence[0]->FemSequence();</div>
<div class="line"><a id="l00496" name="l00496"></a><span class="lineno"> 496</span> MFEM_VERIFY(DRSequence_FE,</div>
<div class="line"><a id="l00497" name="l00497"></a><span class="lineno"> 497</span> <span class="stringliteral">"Failed to obtain the fine-level de Rham sequence."</span>);</div>
<div class="line"><a id="l00498" name="l00498"></a><span class="lineno"> 498</span> </div>
<div class="line"><a id="l00499" name="l00499"></a><span class="lineno"> 499</span> <span class="keywordflow">if</span> (!myid)</div>
<div class="line"><a id="l00500" name="l00500"></a><span class="lineno"> 500</span> {</div>
<div class="line"><a id="l00501" name="l00501"></a><span class="lineno"> 501</span> cout << <span class="stringliteral">"Level 0 global number of dofs: "</span></div>
<div class="line"><a id="l00502" name="l00502"></a><span class="lineno"> 502</span> << DRSequence_FE->GetDofHandler(0)->GetDofTrueDof().</div>
<div class="line"><a id="l00503" name="l00503"></a><span class="lineno"> 503</span> GetTrueGlobalSize();</div>
<div class="line"><a id="l00504" name="l00504"></a><span class="lineno"> 504</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 1; j <= nDimensions; ++j)</div>
<div class="line"><a id="l00505" name="l00505"></a><span class="lineno"> 505</span> {</div>
<div class="line"><a id="l00506" name="l00506"></a><span class="lineno"> 506</span> cout << <span class="stringliteral">", "</span> << DRSequence_FE->GetDofHandler(j)->GetDofTrueDof().</div>
<div class="line"><a id="l00507" name="l00507"></a><span class="lineno"> 507</span> GetTrueGlobalSize();</div>
<div class="line"><a id="l00508" name="l00508"></a><span class="lineno"> 508</span> }</div>
<div class="line"><a id="l00509" name="l00509"></a><span class="lineno"> 509</span> cout << endl;</div>
<div class="line"><a id="l00510" name="l00510"></a><span class="lineno"> 510</span> }</div>
<div class="line"><a id="l00511" name="l00511"></a><span class="lineno"> 511</span> </div>
<div class="line"><a id="l00512" name="l00512"></a><span class="lineno"> 512</span> <span class="keywordflow">if</span> (!myid)</div>
<div class="line"><a id="l00513" name="l00513"></a><span class="lineno"> 513</span> {</div>
<div class="line"><a id="l00514" name="l00514"></a><span class="lineno"> 514</span> cout << <span class="stringliteral">"Setting coefficients and computing fine-level local "</span></div>
<div class="line"><a id="l00515" name="l00515"></a><span class="lineno"> 515</span> << <span class="stringliteral">"matrices...\n"</span>;</div>
<div class="line"><a id="l00516" name="l00516"></a><span class="lineno"> 516</span> }</div>
<div class="line"><a id="l00517" name="l00517"></a><span class="lineno"> 517</span> </div>
<div class="line"><a id="l00518" name="l00518"></a><span class="lineno"> 518</span> DRSequence_FE->ReplaceMassIntegrator(AT_elem, jform,</div>
<div class="line"><a id="l00519" name="l00519"></a><span class="lineno"> 519</span> make_unique<VectorFEMassIntegrator>(<a class="code hl_variable" href="convection-diffusion_8cpp.html#a20d35965a489ee0e4396d34b3867aaed">beta</a>), <span class="keyword">false</span>);</div>
<div class="line"><a id="l00520" name="l00520"></a><span class="lineno"> 520</span> <span class="keywordflow">if</span> (hcurl && nDimensions == 3)</div>
<div class="line"><a id="l00521" name="l00521"></a><span class="lineno"> 521</span> {</div>
<div class="line"><a id="l00522" name="l00522"></a><span class="lineno"> 522</span> DRSequence_FE->ReplaceMassIntegrator(AT_elem, jform + 1,</div>
<div class="line"><a id="l00523" name="l00523"></a><span class="lineno"> 523</span> make_unique<VectorFEMassIntegrator>(<a class="code hl_variable" href="ex15_8cpp.html#a7dc6cd505f60a008e9246be53a4d460d">alpha</a>), <span class="keyword">true</span>);</div>
<div class="line"><a id="l00524" name="l00524"></a><span class="lineno"> 524</span> }</div>
<div class="line"><a id="l00525" name="l00525"></a><span class="lineno"> 525</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00526" name="l00526"></a><span class="lineno"> 526</span> {</div>
<div class="line"><a id="l00527" name="l00527"></a><span class="lineno"> 527</span> DRSequence_FE->ReplaceMassIntegrator(AT_elem, jform + 1,</div>
<div class="line"><a id="l00528" name="l00528"></a><span class="lineno"> 528</span> make_unique<MassIntegrator>(<a class="code hl_variable" href="ex15_8cpp.html#a7dc6cd505f60a008e9246be53a4d460d">alpha</a>), <span class="keyword">true</span>);</div>
<div class="line"><a id="l00529" name="l00529"></a><span class="lineno"> 529</span> }</div>
<div class="line"><a id="l00530" name="l00530"></a><span class="lineno"> 530</span> </div>
<div class="line"><a id="l00531" name="l00531"></a><span class="lineno"> 531</span> <span class="keywordflow">if</span> (!myid)</div>
<div class="line"><a id="l00532" name="l00532"></a><span class="lineno"> 532</span> {</div>
<div class="line"><a id="l00533" name="l00533"></a><span class="lineno"> 533</span> cout << <span class="stringliteral">"Interpolating and setting polynomial targets...\n"</span>;</div>
<div class="line"><a id="l00534" name="l00534"></a><span class="lineno"> 534</span> }</div>
<div class="line"><a id="l00535" name="l00535"></a><span class="lineno"> 535</span> </div>
<div class="line"><a id="l00536" name="l00536"></a><span class="lineno"> 536</span> DRSequence_FE->SetUpscalingTargets(nDimensions, upscalingOrder);</div>
<div class="line"><a id="l00537" name="l00537"></a><span class="lineno"> 537</span> derham0_timer.Stop();</div>
<div class="line"><a id="l00538" name="l00538"></a><span class="lineno"> 538</span> </div>
<div class="line"><a id="l00539" name="l00539"></a><span class="lineno"> 539</span> <span class="keywordflow">if</span> (!myid)</div>
<div class="line"><a id="l00540" name="l00540"></a><span class="lineno"> 540</span> {</div>
<div class="line"><a id="l00541" name="l00541"></a><span class="lineno"> 541</span> cout << <span class="stringliteral">"Building the coarse-level de Rham sequences...\n"</span>;</div>
<div class="line"><a id="l00542" name="l00542"></a><span class="lineno"> 542</span> }</div>
<div class="line"><a id="l00543" name="l00543"></a><span class="lineno"> 543</span> </div>
<div class="line"><a id="l00544" name="l00544"></a><span class="lineno"> 544</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> l = 0; l < nLevels - 1; ++l)</div>
<div class="line"><a id="l00545" name="l00545"></a><span class="lineno"> 545</span> {</div>
<div class="line"><a id="l00546" name="l00546"></a><span class="lineno"> 546</span> Timer derhaml_timer = TimeManager::AddTimer(std::string(<span class="stringliteral">"DeRhamSequence "</span></div>
<div class="line"><a id="l00547" name="l00547"></a><span class="lineno"> 547</span> <span class="stringliteral">"Construction -- Level "</span>).</div>
<div class="line"><a id="l00548" name="l00548"></a><span class="lineno"> 548</span> append(std::to_string(l+1)));</div>
<div class="line"><a id="l00549" name="l00549"></a><span class="lineno"> 549</span> <span class="keywordflow">if</span> (!myid)</div>
<div class="line"><a id="l00550" name="l00550"></a><span class="lineno"> 550</span> {</div>
<div class="line"><a id="l00551" name="l00551"></a><span class="lineno"> 551</span> cout << <span class="stringliteral">"Building the level "</span> << l + 1 << <span class="stringliteral">" de Rham sequences...\n"</span>;</div>
<div class="line"><a id="l00552" name="l00552"></a><span class="lineno"> 552</span> }</div>
<div class="line"><a id="l00553" name="l00553"></a><span class="lineno"> 553</span> </div>
<div class="line"><a id="l00554" name="l00554"></a><span class="lineno"> 554</span> sequence[l]->SetSVDTol(tolSVD);</div>
<div class="line"><a id="l00555" name="l00555"></a><span class="lineno"> 555</span> sequence[l + 1] = sequence[l]->Coarsen();</div>
<div class="line"><a id="l00556" name="l00556"></a><span class="lineno"> 556</span> </div>
<div class="line"><a id="l00557" name="l00557"></a><span class="lineno"> 557</span> <span class="keywordflow">if</span> (!myid)</div>
<div class="line"><a id="l00558" name="l00558"></a><span class="lineno"> 558</span> {</div>
<div class="line"><a id="l00559" name="l00559"></a><span class="lineno"> 559</span> <span class="keyword">auto</span> DRSequence = sequence[l + 1];</div>
<div class="line"><a id="l00560" name="l00560"></a><span class="lineno"> 560</span> cout << <span class="stringliteral">"Level "</span> << l + 1 << <span class="stringliteral">" global number of dofs: "</span></div>
<div class="line"><a id="l00561" name="l00561"></a><span class="lineno"> 561</span> << DRSequence->GetDofHandler(0)->GetDofTrueDof().</div>
<div class="line"><a id="l00562" name="l00562"></a><span class="lineno"> 562</span> GetTrueGlobalSize();</div>
<div class="line"><a id="l00563" name="l00563"></a><span class="lineno"> 563</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 1; j <= nDimensions; ++j)</div>
<div class="line"><a id="l00564" name="l00564"></a><span class="lineno"> 564</span> {</div>
<div class="line"><a id="l00565" name="l00565"></a><span class="lineno"> 565</span> cout << <span class="stringliteral">", "</span> << DRSequence->GetDofHandler(j)->GetDofTrueDof().</div>
<div class="line"><a id="l00566" name="l00566"></a><span class="lineno"> 566</span> GetTrueGlobalSize();</div>
<div class="line"><a id="l00567" name="l00567"></a><span class="lineno"> 567</span> }</div>
<div class="line"><a id="l00568" name="l00568"></a><span class="lineno"> 568</span> cout << endl;</div>
<div class="line"><a id="l00569" name="l00569"></a><span class="lineno"> 569</span> }</div>
<div class="line"><a id="l00570" name="l00570"></a><span class="lineno"> 570</span> }</div>
<div class="line"><a id="l00571" name="l00571"></a><span class="lineno"> 571</span> derham_timer.Stop();</div>
<div class="line"><a id="l00572" name="l00572"></a><span class="lineno"> 572</span> </div>
<div class="line"><a id="l00573" name="l00573"></a><span class="lineno"> 573</span> Timer assemble_timer = TimeManager::AddTimer(<span class="stringliteral">"Fine Matrix Assembly"</span>);</div>
<div class="line"><a id="l00574" name="l00574"></a><span class="lineno"> 574</span> <span class="keywordflow">if</span> (!myid)</div>
<div class="line"><a id="l00575" name="l00575"></a><span class="lineno"> 575</span> {</div>
<div class="line"><a id="l00576" name="l00576"></a><span class="lineno"> 576</span> cout << <span class="stringliteral">"Assembling the fine-level system...\n"</span>;</div>
<div class="line"><a id="l00577" name="l00577"></a><span class="lineno"> 577</span> }</div>
<div class="line"><a id="l00578" name="l00578"></a><span class="lineno"> 578</span> </div>
<div class="line"><a id="l00579" name="l00579"></a><span class="lineno"> 579</span> <a class="code hl_class" href="classmfem_1_1VectorFunctionCoefficient.html">VectorFunctionCoefficient</a> rhscoeff(nDimensions, <a class="code hl_function" href="MultilevelHcurlHdivSolver_8cpp.html#a8150bd7f9da36096ae0fe7dc5b0b7dcb">rhsfunc</a>);</div>
<div class="line"><a id="l00580" name="l00580"></a><span class="lineno"> 580</span> <a class="code hl_class" href="classmfem_1_1VectorFunctionCoefficient.html">VectorFunctionCoefficient</a> solcoeff(nDimensions, <a class="code hl_function" href="MultilevelHcurlHdivSolver_8cpp.html#a7b603c672e44ed58fb1192a911c1044f">bdrfunc</a>);</div>
<div class="line"><a id="l00581" name="l00581"></a><span class="lineno"> 581</span> </div>
<div class="line"><a id="l00582" name="l00582"></a><span class="lineno"> 582</span> <span class="comment">// Take the vector FE space and construct a RHS linear form on it. Then, move</span></div>
<div class="line"><a id="l00583" name="l00583"></a><span class="lineno"> 583</span> <span class="comment">// the linear form to a vector. This is local, i.e. on all known dofs for the</span></div>
<div class="line"><a id="l00584" name="l00584"></a><span class="lineno"> 584</span> <span class="comment">// process.</span></div>
<div class="line"><a id="l00585" name="l00585"></a><span class="lineno"> 585</span> <a class="code hl_class" href="classmfem_1_1FiniteElementSpace.html">FiniteElementSpace</a> *fespace = DRSequence_FE->GetFeSpace(jform);</div>
<div class="line"><a id="l00586" name="l00586"></a><span class="lineno"> 586</span> <span class="keyword">auto</span> rhsform = make_unique<LinearForm>(fespace);</div>
<div class="line"><a id="l00587" name="l00587"></a><span class="lineno"> 587</span> rhsform->AddDomainIntegrator(<span class="keyword">new</span> <a class="code hl_class" href="classmfem_1_1VectorFEDomainLFIntegrator.html">VectorFEDomainLFIntegrator</a>(rhscoeff));</div>
<div class="line"><a id="l00588" name="l00588"></a><span class="lineno"> 588</span> rhsform->Assemble();</div>
<div class="line"><a id="l00589" name="l00589"></a><span class="lineno"> 589</span> unique_ptr<Vector> rhs = move(rhsform);</div>
<div class="line"><a id="l00590" name="l00590"></a><span class="lineno"> 590</span> </div>
<div class="line"><a id="l00591" name="l00591"></a><span class="lineno"> 591</span> <span class="comment">// Obtain the boundary data. This is local, i.e. on all known dofs for the</span></div>
<div class="line"><a id="l00592" name="l00592"></a><span class="lineno"> 592</span> <span class="comment">// process.</span></div>
<div class="line"><a id="l00593" name="l00593"></a><span class="lineno"> 593</span> <span class="keyword">auto</span> solgf = make_unique<GridFunction>(fespace);</div>
<div class="line"><a id="l00594" name="l00594"></a><span class="lineno"> 594</span> solgf->ProjectCoefficient(solcoeff);</div>
<div class="line"><a id="l00595" name="l00595"></a><span class="lineno"> 595</span> unique_ptr<Vector> sol = move(solgf);</div>
<div class="line"><a id="l00596" name="l00596"></a><span class="lineno"> 596</span> </div>
<div class="line"><a id="l00597" name="l00597"></a><span class="lineno"> 597</span> <span class="comment">// Create the parallel linear system.</span></div>
<div class="line"><a id="l00598" name="l00598"></a><span class="lineno"> 598</span> <span class="keyword">const</span> SharingMap& hcurlhdiv_dofTrueDof =</div>
<div class="line"><a id="l00599" name="l00599"></a><span class="lineno"> 599</span> sequence[0]->GetDofHandler(jform)->GetDofTrueDof();</div>
<div class="line"><a id="l00600" name="l00600"></a><span class="lineno"> 600</span> </div>
<div class="line"><a id="l00601" name="l00601"></a><span class="lineno"> 601</span> <span class="comment">// System RHS, B. It is defined on the true dofs owned by the process.</span></div>
<div class="line"><a id="l00602" name="l00602"></a><span class="lineno"> 602</span> <a class="code hl_class" href="classmfem_1_1Vector.html">Vector</a> B(hcurlhdiv_dofTrueDof.GetTrueLocalSize());</div>
<div class="line"><a id="l00603" name="l00603"></a><span class="lineno"> 603</span> </div>
<div class="line"><a id="l00604" name="l00604"></a><span class="lineno"> 604</span> <span class="comment">// System matrix, A.</span></div>
<div class="line"><a id="l00605" name="l00605"></a><span class="lineno"> 605</span> shared_ptr<HypreParMatrix> A;</div>
<div class="line"><a id="l00606" name="l00606"></a><span class="lineno"> 606</span> {</div>
<div class="line"><a id="l00607" name="l00607"></a><span class="lineno"> 607</span> <span class="comment">// Get the mass and derivative operators.</span></div>
<div class="line"><a id="l00608" name="l00608"></a><span class="lineno"> 608</span> <span class="comment">// For H(curl):</span></div>
<div class="line"><a id="l00609" name="l00609"></a><span class="lineno"> 609</span> <span class="comment">// M1 represents the form (beta u, v) on H(curl) vector fields.</span></div>
<div class="line"><a id="l00610" name="l00610"></a><span class="lineno"> 610</span> <span class="comment">// M2 represents the form (alpha u, v) on H(div) vector fields, in 3D.</span></div>
<div class="line"><a id="l00611" name="l00611"></a><span class="lineno"> 611</span> <span class="comment">// D1 is the curl operator from H(curl) vector fields to H(div) vector</span></div>
<div class="line"><a id="l00612" name="l00612"></a><span class="lineno"> 612</span> <span class="comment">// fields, in 3D.</span></div>
<div class="line"><a id="l00613" name="l00613"></a><span class="lineno"> 613</span> <span class="comment">// In 2D, instead of considering H(div) vector fields, L2 scalar fields</span></div>
<div class="line"><a id="l00614" name="l00614"></a><span class="lineno"> 614</span> <span class="comment">// are to be considered.</span></div>
<div class="line"><a id="l00615" name="l00615"></a><span class="lineno"> 615</span> <span class="comment">// Thus, D1^T * M2 * D1 represents the form (alpha curl u, curl v) on</span></div>
<div class="line"><a id="l00616" name="l00616"></a><span class="lineno"> 616</span> <span class="comment">// H(curl) vector fields.</span></div>
<div class="line"><a id="l00617" name="l00617"></a><span class="lineno"> 617</span> <span class="comment">// For H(div):</span></div>
<div class="line"><a id="l00618" name="l00618"></a><span class="lineno"> 618</span> <span class="comment">// M1 represents the form (beta u, v) on H(div) vector fields.</span></div>
<div class="line"><a id="l00619" name="l00619"></a><span class="lineno"> 619</span> <span class="comment">// M2 represents the form (alpha u, v) on L2 scalar fields.</span></div>
<div class="line"><a id="l00620" name="l00620"></a><span class="lineno"> 620</span> <span class="comment">// D1 is the divergence operator from H(div) vector fields to L2 scalar</span></div>
<div class="line"><a id="l00621" name="l00621"></a><span class="lineno"> 621</span> <span class="comment">// fields.</span></div>
<div class="line"><a id="l00622" name="l00622"></a><span class="lineno"> 622</span> <span class="comment">// Thus, D1^T * M2 * D1 represents the form (alpha div u, div v) on H(div)</span></div>
<div class="line"><a id="l00623" name="l00623"></a><span class="lineno"> 623</span> <span class="comment">// vector fields.</span></div>
<div class="line"><a id="l00624" name="l00624"></a><span class="lineno"> 624</span> <span class="keyword">auto</span> M1 = sequence[0]->ComputeMassOperator(jform),</div>
<div class="line"><a id="l00625" name="l00625"></a><span class="lineno"> 625</span> M2 = sequence[0]->ComputeMassOperator(jform + 1);</div>
<div class="line"><a id="l00626" name="l00626"></a><span class="lineno"> 626</span> <span class="keyword">auto</span> D1 = sequence[0]->GetDerivativeOperator(jform);</div>
<div class="line"><a id="l00627" name="l00627"></a><span class="lineno"> 627</span> </div>
<div class="line"><a id="l00628" name="l00628"></a><span class="lineno"> 628</span> <span class="comment">// spA = D1^T * M2 * D1 + M1 represents the respective H(curl) or H(div)</span></div>
<div class="line"><a id="l00629" name="l00629"></a><span class="lineno"> 629</span> <span class="comment">// form:</span></div>
<div class="line"><a id="l00630" name="l00630"></a><span class="lineno"> 630</span> <span class="comment">// (alpha curl u, curl v) + (beta u, v), on H(curl) vector fields;</span></div>
<div class="line"><a id="l00631" name="l00631"></a><span class="lineno"> 631</span> <span class="comment">// (alpha div u, div v) + (beta u, v), on H(div) vector fields.</span></div>
<div class="line"><a id="l00632" name="l00632"></a><span class="lineno"> 632</span> <span class="comment">// This is local, i.e. on all known dofs for the process.</span></div>
<div class="line"><a id="l00633" name="l00633"></a><span class="lineno"> 633</span> <span class="keyword">auto</span> spA = ToUnique(<a class="code hl_function" href="namespacemfem.html#afb165eb5b98c484a3b25f6c638f641d0">Add</a>(*M1, *ToUnique(<a class="code hl_function" href="namespacemfem.html#a6730dfc6ef41ddf5d50dc1b7ca69e234">RAP</a>(*D1, *M2, *D1))));</div>
<div class="line"><a id="l00634" name="l00634"></a><span class="lineno"> 634</span> </div>
<div class="line"><a id="l00635" name="l00635"></a><span class="lineno"> 635</span> <span class="comment">// Eliminate the boundary conditions</span></div>
<div class="line"><a id="l00636" name="l00636"></a><span class="lineno"> 636</span> <a class="code hl_class" href="classmfem_1_1Array.html">Array<int></a> marker(spA->Height());</div>
<div class="line"><a id="l00637" name="l00637"></a><span class="lineno"> 637</span> marker = 0;</div>
<div class="line"><a id="l00638" name="l00638"></a><span class="lineno"> 638</span> sequence[0]->GetDofHandler(jform)->MarkDofsOnSelectedBndr(ess_attr[0],</div>
<div class="line"><a id="l00639" name="l00639"></a><span class="lineno"> 639</span> marker);</div>
<div class="line"><a id="l00640" name="l00640"></a><span class="lineno"> 640</span> </div>
<div class="line"><a id="l00641" name="l00641"></a><span class="lineno"> 641</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < spA->Height(); ++i)</div>
<div class="line"><a id="l00642" name="l00642"></a><span class="lineno"> 642</span> {</div>
<div class="line"><a id="l00643" name="l00643"></a><span class="lineno"> 643</span> <span class="keywordflow">if</span> (marker[i])</div>
<div class="line"><a id="l00644" name="l00644"></a><span class="lineno"> 644</span> {</div>
<div class="line"><a id="l00645" name="l00645"></a><span class="lineno"> 645</span> spA->EliminateRowCol(i, sol->Elem(i), *rhs);</div>
<div class="line"><a id="l00646" name="l00646"></a><span class="lineno"> 646</span> }</div>
<div class="line"><a id="l00647" name="l00647"></a><span class="lineno"> 647</span> }</div>
<div class="line"><a id="l00648" name="l00648"></a><span class="lineno"> 648</span> </div>
<div class="line"><a id="l00649" name="l00649"></a><span class="lineno"> 649</span> A = Assemble(hcurlhdiv_dofTrueDof, *spA, hcurlhdiv_dofTrueDof);</div>
<div class="line"><a id="l00650" name="l00650"></a><span class="lineno"> 650</span> hcurlhdiv_dofTrueDof.Assemble(*rhs, B);</div>
<div class="line"><a id="l00651" name="l00651"></a><span class="lineno"> 651</span> }</div>
<div class="line"><a id="l00652" name="l00652"></a><span class="lineno"> 652</span> <span class="keywordflow">if</span> (!myid)</div>
<div class="line"><a id="l00653" name="l00653"></a><span class="lineno"> 653</span> {</div>
<div class="line"><a id="l00654" name="l00654"></a><span class="lineno"> 654</span> cout << <span class="stringliteral">"A size: "</span> << A->GetGlobalNumRows() << <span class="charliteral">'x'</span></div>
<div class="line"><a id="l00655" name="l00655"></a><span class="lineno"> 655</span> << A->GetGlobalNumCols() << <span class="charliteral">'\n'</span> << <span class="stringliteral">" A NNZ: "</span> << A->NNZ() << <span class="charliteral">'\n'</span>;</div>
<div class="line"><a id="l00656" name="l00656"></a><span class="lineno"> 656</span> }</div>
<div class="line"><a id="l00657" name="l00657"></a><span class="lineno"> 657</span> MFEM_VERIFY(B.<a class="code hl_function" href="classmfem_1_1Vector.html#aa9c5be6e53d0993d5851c276ba2a6079">Size</a>() == A->Height(),</div>
<div class="line"><a id="l00658" name="l00658"></a><span class="lineno"> 658</span> <span class="stringliteral">"Matrix and vector size are incompatible."</span>);</div>
<div class="line"><a id="l00659" name="l00659"></a><span class="lineno"> 659</span> assemble_timer.Stop();</div>
<div class="line"><a id="l00660" name="l00660"></a><span class="lineno"> 660</span> </div>
<div class="line"><a id="l00661" name="l00661"></a><span class="lineno"> 661</span> <span class="comment">// Perform the solves.</span></div>
<div class="line"><a id="l00662" name="l00662"></a><span class="lineno"> 662</span> Timer solvers_timer = TimeManager::AddTimer(<span class="stringliteral">"Solvers -- Total"</span>);</div>
<div class="line"><a id="l00663" name="l00663"></a><span class="lineno"> 663</span> <span class="keywordflow">if</span> (!myid)</div>
<div class="line"><a id="l00664" name="l00664"></a><span class="lineno"> 664</span> {</div>
<div class="line"><a id="l00665" name="l00665"></a><span class="lineno"> 665</span> cout << <span class="stringliteral">"\nRunning fine-level solvers...\n\n"</span>;</div>
<div class="line"><a id="l00666" name="l00666"></a><span class="lineno"> 666</span> }</div>
<div class="line"><a id="l00667" name="l00667"></a><span class="lineno"> 667</span> </div>
<div class="line"><a id="l00668" name="l00668"></a><span class="lineno"> 668</span> <span class="comment">// Create the solver library.</span></div>
<div class="line"><a id="l00669" name="l00669"></a><span class="lineno"> 669</span> <span class="keyword">auto</span> lib = SolverLibrary::CreateLibrary(</div>
<div class="line"><a id="l00670" name="l00670"></a><span class="lineno"> 670</span> master_list->Sublist(<span class="stringliteral">"Preconditioner Library"</span>));</div>
<div class="line"><a id="l00671" name="l00671"></a><span class="lineno"> 671</span> </div>
<div class="line"><a id="l00672" name="l00672"></a><span class="lineno"> 672</span> <span class="comment">// Loop through the solvers.</span></div>
<div class="line"><a id="l00673" name="l00673"></a><span class="lineno"> 673</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>& solver_name : list_of_solvers)</div>
<div class="line"><a id="l00674" name="l00674"></a><span class="lineno"> 674</span> {</div>
<div class="line"><a id="l00675" name="l00675"></a><span class="lineno"> 675</span> Timer solver_timer = TimeManager::AddTimer(std::string(<span class="stringliteral">"Solver \""</span>).</div>
<div class="line"><a id="l00676" name="l00676"></a><span class="lineno"> 676</span> append(solver_name).</div>
<div class="line"><a id="l00677" name="l00677"></a><span class="lineno"> 677</span> append(<span class="stringliteral">"\" -- Total"</span>));</div>
<div class="line"><a id="l00678" name="l00678"></a><span class="lineno"> 678</span> <span class="comment">// Get the solver factory.</span></div>
<div class="line"><a id="l00679" name="l00679"></a><span class="lineno"> 679</span> <span class="keyword">auto</span> solver_factory = lib->GetSolverFactory(solver_name);</div>
<div class="line"><a id="l00680" name="l00680"></a><span class="lineno"> 680</span> <span class="keyword">auto</span> solver_state = solver_factory->GetDefaultState();</div>
<div class="line"><a id="l00681" name="l00681"></a><span class="lineno"> 681</span> solver_state->SetDeRhamSequence(sequence[0]);</div>
<div class="line"><a id="l00682" name="l00682"></a><span class="lineno"> 682</span> solver_state->SetBoundaryLabels(ess_attr);</div>
<div class="line"><a id="l00683" name="l00683"></a><span class="lineno"> 683</span> solver_state->SetForms({jform});</div>
<div class="line"><a id="l00684" name="l00684"></a><span class="lineno"> 684</span> </div>
<div class="line"><a id="l00685" name="l00685"></a><span class="lineno"> 685</span> <span class="comment">// Build the solver.</span></div>
<div class="line"><a id="l00686" name="l00686"></a><span class="lineno"> 686</span> Timer build_timer = TimeManager::AddTimer(std::string(<span class="stringliteral">"Solver \""</span>).</div>
<div class="line"><a id="l00687" name="l00687"></a><span class="lineno"> 687</span> append(solver_name).</div>
<div class="line"><a id="l00688" name="l00688"></a><span class="lineno"> 688</span> append(<span class="stringliteral">"\" -- Build"</span>));</div>
<div class="line"><a id="l00689" name="l00689"></a><span class="lineno"> 689</span> <span class="keywordflow">if</span> (!myid)</div>
<div class="line"><a id="l00690" name="l00690"></a><span class="lineno"> 690</span> {</div>
<div class="line"><a id="l00691" name="l00691"></a><span class="lineno"> 691</span> cout << <span class="stringliteral">"Building solver \""</span> << solver_name << <span class="stringliteral">"\"...\n"</span>;</div>
<div class="line"><a id="l00692" name="l00692"></a><span class="lineno"> 692</span> }</div>
<div class="line"><a id="l00693" name="l00693"></a><span class="lineno"> 693</span> unique_ptr<Solver> solver = solver_factory->BuildSolver(A, *solver_state);</div>
<div class="line"><a id="l00694" name="l00694"></a><span class="lineno"> 694</span> build_timer.Stop();</div>
<div class="line"><a id="l00695" name="l00695"></a><span class="lineno"> 695</span> </div>
<div class="line"><a id="l00696" name="l00696"></a><span class="lineno"> 696</span> <span class="comment">// Run the solver.</span></div>
<div class="line"><a id="l00697" name="l00697"></a><span class="lineno"> 697</span> Timer pre_timer = TimeManager::AddTimer(std::string(<span class="stringliteral">"Solver \""</span>).</div>
<div class="line"><a id="l00698" name="l00698"></a><span class="lineno"> 698</span> append(solver_name).</div>
<div class="line"><a id="l00699" name="l00699"></a><span class="lineno"> 699</span> append(<span class="stringliteral">"\" -- Pre-solve"</span>));</div>
<div class="line"><a id="l00700" name="l00700"></a><span class="lineno"> 700</span> <span class="keywordflow">if</span> (!myid)</div>
<div class="line"><a id="l00701" name="l00701"></a><span class="lineno"> 701</span> {</div>
<div class="line"><a id="l00702" name="l00702"></a><span class="lineno"> 702</span> cout << <span class="stringliteral">"Solving system with \""</span> << solver_name << <span class="stringliteral">"\"...\n"</span>;</div>
<div class="line"><a id="l00703" name="l00703"></a><span class="lineno"> 703</span> }</div>
<div class="line"><a id="l00704" name="l00704"></a><span class="lineno"> 704</span> </div>
<div class="line"><a id="l00705" name="l00705"></a><span class="lineno"> 705</span> <span class="comment">// Note that X is on true dofs owned by the process, while x is on local</span></div>
<div class="line"><a id="l00706" name="l00706"></a><span class="lineno"> 706</span> <span class="comment">// dofs that are known to the process.</span></div>
<div class="line"><a id="l00707" name="l00707"></a><span class="lineno"> 707</span> <a class="code hl_class" href="classmfem_1_1Vector.html">Vector</a> X(A->Width()), x(sequence[0]->GetNumberOfDofs(jform));</div>
<div class="line"><a id="l00708" name="l00708"></a><span class="lineno"> 708</span> X=0.0;</div>
<div class="line"><a id="l00709" name="l00709"></a><span class="lineno"> 709</span> </div>
<div class="line"><a id="l00710" name="l00710"></a><span class="lineno"> 710</span> {</div>
<div class="line"><a id="l00711" name="l00711"></a><span class="lineno"> 711</span> <a class="code hl_class" href="classmfem_1_1Vector.html">Vector</a> tmp(A->Height());</div>
<div class="line"><a id="l00712" name="l00712"></a><span class="lineno"> 712</span> A->Mult(X, tmp);</div>
<div class="line"><a id="l00713" name="l00713"></a><span class="lineno"> 713</span> tmp *= -1.0;</div>
<div class="line"><a id="l00714" name="l00714"></a><span class="lineno"> 714</span> tmp += B;</div>
<div class="line"><a id="l00715" name="l00715"></a><span class="lineno"> 715</span> </div>
<div class="line"><a id="l00716" name="l00716"></a><span class="lineno"> 716</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> local_norm = tmp.<a class="code hl_function" href="classmfem_1_1Vector.html#a8b48746eca2af11662aca857cb3031f8">Norml2</a>();</div>
<div class="line"><a id="l00717" name="l00717"></a><span class="lineno"> 717</span> local_norm *= local_norm;</div>
<div class="line"><a id="l00718" name="l00718"></a><span class="lineno"> 718</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> global_norm;</div>
<div class="line"><a id="l00719" name="l00719"></a><span class="lineno"> 719</span> MPI_Reduce(&local_norm, &global_norm, 1, GetMPIType(local_norm),</div>
<div class="line"><a id="l00720" name="l00720"></a><span class="lineno"> 720</span> MPI_SUM, 0, MPI_COMM_WORLD);</div>
<div class="line"><a id="l00721" name="l00721"></a><span class="lineno"> 721</span> <span class="keywordflow">if</span> (!myid)</div>
<div class="line"><a id="l00722" name="l00722"></a><span class="lineno"> 722</span> {</div>
<div class="line"><a id="l00723" name="l00723"></a><span class="lineno"> 723</span> cout << <span class="stringliteral">"Initial residual l2 norm: "</span> << sqrt(global_norm) << <span class="charliteral">'\n'</span>;</div>
<div class="line"><a id="l00724" name="l00724"></a><span class="lineno"> 724</span> }</div>
<div class="line"><a id="l00725" name="l00725"></a><span class="lineno"> 725</span> }</div>
<div class="line"><a id="l00726" name="l00726"></a><span class="lineno"> 726</span> pre_timer.Stop();</div>
<div class="line"><a id="l00727" name="l00727"></a><span class="lineno"> 727</span> </div>
<div class="line"><a id="l00728" name="l00728"></a><span class="lineno"> 728</span> <span class="comment">// Perform the solve.</span></div>
<div class="line"><a id="l00729" name="l00729"></a><span class="lineno"> 729</span> Timer solve_timer = TimeManager::AddTimer(std::string(<span class="stringliteral">"Solver \""</span>).</div>
<div class="line"><a id="l00730" name="l00730"></a><span class="lineno"> 730</span> append(solver_name).</div>
<div class="line"><a id="l00731" name="l00731"></a><span class="lineno"> 731</span> append(<span class="stringliteral">"\" -- Solve"</span>));</div>
<div class="line"><a id="l00732" name="l00732"></a><span class="lineno"> 732</span> solver->Mult(B, X);</div>
<div class="line"><a id="l00733" name="l00733"></a><span class="lineno"> 733</span> solve_timer.Stop();</div>
<div class="line"><a id="l00734" name="l00734"></a><span class="lineno"> 734</span> </div>
<div class="line"><a id="l00735" name="l00735"></a><span class="lineno"> 735</span> Timer post_timer = TimeManager::AddTimer(std::string(<span class="stringliteral">"Solver \""</span>).</div>
<div class="line"><a id="l00736" name="l00736"></a><span class="lineno"> 736</span> append(solver_name).</div>
<div class="line"><a id="l00737" name="l00737"></a><span class="lineno"> 737</span> append(<span class="stringliteral">"\" -- Post-solve"</span>));</div>
<div class="line"><a id="l00738" name="l00738"></a><span class="lineno"> 738</span> {</div>
<div class="line"><a id="l00739" name="l00739"></a><span class="lineno"> 739</span> <a class="code hl_class" href="classmfem_1_1Vector.html">Vector</a> tmp(A->Height());</div>
<div class="line"><a id="l00740" name="l00740"></a><span class="lineno"> 740</span> A->Mult(X, tmp);</div>
<div class="line"><a id="l00741" name="l00741"></a><span class="lineno"> 741</span> tmp *= -1.0;</div>
<div class="line"><a id="l00742" name="l00742"></a><span class="lineno"> 742</span> tmp += B;</div>
<div class="line"><a id="l00743" name="l00743"></a><span class="lineno"> 743</span> </div>
<div class="line"><a id="l00744" name="l00744"></a><span class="lineno"> 744</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> local_norm = tmp.<a class="code hl_function" href="classmfem_1_1Vector.html#a8b48746eca2af11662aca857cb3031f8">Norml2</a>();</div>
<div class="line"><a id="l00745" name="l00745"></a><span class="lineno"> 745</span> local_norm *= local_norm;</div>
<div class="line"><a id="l00746" name="l00746"></a><span class="lineno"> 746</span> <a class="code hl_typedef" href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">real_t</a> global_norm;</div>
<div class="line"><a id="l00747" name="l00747"></a><span class="lineno"> 747</span> MPI_Reduce(&local_norm, &global_norm, 1, GetMPIType(local_norm),</div>
<div class="line"><a id="l00748" name="l00748"></a><span class="lineno"> 748</span> MPI_SUM, 0, MPI_COMM_WORLD);</div>
<div class="line"><a id="l00749" name="l00749"></a><span class="lineno"> 749</span> <span class="keywordflow">if</span> (!myid)</div>
<div class="line"><a id="l00750" name="l00750"></a><span class="lineno"> 750</span> {</div>
<div class="line"><a id="l00751" name="l00751"></a><span class="lineno"> 751</span> cout << <span class="stringliteral">"Final residual l2 norm: "</span> << sqrt(global_norm) << <span class="charliteral">'\n'</span>;</div>
<div class="line"><a id="l00752" name="l00752"></a><span class="lineno"> 752</span> }</div>
<div class="line"><a id="l00753" name="l00753"></a><span class="lineno"> 753</span> }</div>
<div class="line"><a id="l00754" name="l00754"></a><span class="lineno"> 754</span> </div>
<div class="line"><a id="l00755" name="l00755"></a><span class="lineno"> 755</span> <span class="keywordflow">if</span> (!myid)</div>
<div class="line"><a id="l00756" name="l00756"></a><span class="lineno"> 756</span> {</div>
<div class="line"><a id="l00757" name="l00757"></a><span class="lineno"> 757</span> cout << <span class="stringliteral">"Solver \""</span> << solver_name << <span class="stringliteral">"\" finished.\n"</span>;</div>
<div class="line"><a id="l00758" name="l00758"></a><span class="lineno"> 758</span> }</div>
<div class="line"><a id="l00759" name="l00759"></a><span class="lineno"> 759</span> </div>
<div class="line"><a id="l00760" name="l00760"></a><span class="lineno"> 760</span> <span class="comment">// Visualize the solution.</span></div>
<div class="line"><a id="l00761" name="l00761"></a><span class="lineno"> 761</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="ex10_8cpp.html#a59d201f341fb1b7f6981074fa2653bba">visualize</a>)</div>
<div class="line"><a id="l00762" name="l00762"></a><span class="lineno"> 762</span> {</div>
<div class="line"><a id="l00763" name="l00763"></a><span class="lineno"> 763</span> hcurlhdiv_dofTrueDof.Distribute(X, x);</div>
<div class="line"><a id="l00764" name="l00764"></a><span class="lineno"> 764</span> MultiVector tmp(x.<a class="code hl_function" href="classmfem_1_1Vector.html#ad3b95940dbc35584167bc142b1969db1">GetData</a>(), 1, x.<a class="code hl_function" href="classmfem_1_1Vector.html#aa9c5be6e53d0993d5851c276ba2a6079">Size</a>());</div>
<div class="line"><a id="l00765" name="l00765"></a><span class="lineno"> 765</span> sequence[0]->show(jform, tmp);</div>
<div class="line"><a id="l00766" name="l00766"></a><span class="lineno"> 766</span> }</div>
<div class="line"><a id="l00767" name="l00767"></a><span class="lineno"> 767</span> post_timer.Stop();</div>
<div class="line"><a id="l00768" name="l00768"></a><span class="lineno"> 768</span> }</div>
<div class="line"><a id="l00769" name="l00769"></a><span class="lineno"> 769</span> solvers_timer.Stop();</div>
<div class="line"><a id="l00770" name="l00770"></a><span class="lineno"> 770</span> </div>
<div class="line"><a id="l00771" name="l00771"></a><span class="lineno"> 771</span> total_timer.Stop();</div>
<div class="line"><a id="l00772" name="l00772"></a><span class="lineno"> 772</span> TimeManager::Print();</div>
<div class="line"><a id="l00773" name="l00773"></a><span class="lineno"> 773</span> </div>
<div class="line"><a id="l00774" name="l00774"></a><span class="lineno"> 774</span> <span class="keywordflow">if</span> (!myid)</div>
<div class="line"><a id="l00775" name="l00775"></a><span class="lineno"> 775</span> {</div>
<div class="line"><a id="l00776" name="l00776"></a><span class="lineno"> 776</span> cout << <span class="stringliteral">"\nFinished.\n"</span>;</div>
<div class="line"><a id="l00777" name="l00777"></a><span class="lineno"> 777</span> }</div>
<div class="line"><a id="l00778" name="l00778"></a><span class="lineno"> 778</span> </div>
<div class="line"><a id="l00779" name="l00779"></a><span class="lineno"> 779</span> <span class="keywordflow">return</span> EXIT_SUCCESS;</div>
<div class="line"><a id="l00780" name="l00780"></a><span class="lineno"> 780</span>}</div>
</div>
<div class="line"><a id="l00781" name="l00781"></a><span class="lineno"> 781</span> </div>
<div class="line"><a id="l00782" name="l00782"></a><span class="lineno"> 782</span><span class="comment">// A vector field, used for setting boundary conditions.</span></div>
<div class="foldopen" id="foldopen00783" data-start="{" data-end="}">
<div class="line"><a id="l00783" name="l00783"></a><span class="lineno"><a class="line" href="MultilevelHcurlHdivSolver_8cpp.html#a7b603c672e44ed58fb1192a911c1044f"> 783</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="MultilevelHcurlHdivSolver_8cpp.html#a7b603c672e44ed58fb1192a911c1044f">bdrfunc</a>(<span class="keyword">const</span> <a class="code hl_class" href="classmfem_1_1Vector.html">Vector</a> &<a class="code hl_function" href="navier__mms_8cpp.html#a8e98a195a94a1d66a8d553bbc2671409">p</a>, <a class="code hl_class" href="classmfem_1_1Vector.html">Vector</a> &F)</div>
<div class="line"><a id="l00784" name="l00784"></a><span class="lineno"> 784</span>{</div>
<div class="line"><a id="l00785" name="l00785"></a><span class="lineno"> 785</span> F = 0.0;</div>
<div class="line"><a id="l00786" name="l00786"></a><span class="lineno"> 786</span>}</div>
</div>
<div class="line"><a id="l00787" name="l00787"></a><span class="lineno"> 787</span> </div>
<div class="line"><a id="l00788" name="l00788"></a><span class="lineno"> 788</span><span class="comment">// The right hand side.</span></div>
<div class="foldopen" id="foldopen00789" data-start="{" data-end="}">
<div class="line"><a id="l00789" name="l00789"></a><span class="lineno"><a class="line" href="MultilevelHcurlHdivSolver_8cpp.html#a8150bd7f9da36096ae0fe7dc5b0b7dcb"> 789</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="MultilevelHcurlHdivSolver_8cpp.html#a8150bd7f9da36096ae0fe7dc5b0b7dcb">rhsfunc</a>(<span class="keyword">const</span> <a class="code hl_class" href="classmfem_1_1Vector.html">Vector</a> &<a class="code hl_function" href="navier__mms_8cpp.html#a8e98a195a94a1d66a8d553bbc2671409">p</a>, <a class="code hl_class" href="classmfem_1_1Vector.html">Vector</a> &<a class="code hl_function" href="namespacemfem.html#ae4874a6b8c9f64a17e7d085b9794d41f">f</a>)</div>
<div class="line"><a id="l00790" name="l00790"></a><span class="lineno"> 790</span>{</div>
<div class="line"><a id="l00791" name="l00791"></a><span class="lineno"> 791</span> <a class="code hl_function" href="namespacemfem.html#ae4874a6b8c9f64a17e7d085b9794d41f">f</a> = 1.0;</div>
<div class="line"><a id="l00792" name="l00792"></a><span class="lineno"> 792</span>}</div>
</div>
<div class="ttc" id="aMultilevelHcurlHdivSolver_8cpp_html_a7b603c672e44ed58fb1192a911c1044f"><div class="ttname"><a href="MultilevelHcurlHdivSolver_8cpp.html#a7b603c672e44ed58fb1192a911c1044f">bdrfunc</a></div><div class="ttdeci">void bdrfunc(const Vector &, Vector &)</div><div class="ttdef"><b>Definition</b> <a href="#l00783">MultilevelHcurlHdivSolver.cpp:783</a></div></div>
<div class="ttc" id="aMultilevelHcurlHdivSolver_8cpp_html_a8150bd7f9da36096ae0fe7dc5b0b7dcb"><div class="ttname"><a href="MultilevelHcurlHdivSolver_8cpp.html#a8150bd7f9da36096ae0fe7dc5b0b7dcb">rhsfunc</a></div><div class="ttdeci">void rhsfunc(const Vector &, Vector &)</div><div class="ttdef"><b>Definition</b> <a href="#l00789">MultilevelHcurlHdivSolver.cpp:789</a></div></div>
<div class="ttc" id="aclassmfem_1_1Array_html"><div class="ttname"><a href="classmfem_1_1Array.html">mfem::Array</a></div><div class="ttdef"><b>Definition</b> <a href="array_8hpp_source.html#l00046">array.hpp:47</a></div></div>
<div class="ttc" id="aclassmfem_1_1FiniteElementSpace_html"><div class="ttname"><a href="classmfem_1_1FiniteElementSpace.html">mfem::FiniteElementSpace</a></div><div class="ttdoc">Class FiniteElementSpace - responsible for providing FEM view of the mesh, mainly managing the set of...</div><div class="ttdef"><b>Definition</b> <a href="fespace_8hpp_source.html#l00243">fespace.hpp:244</a></div></div>
<div class="ttc" id="aclassmfem_1_1Hypre_html_a8f61b67367f87ee753aa9a38b8f6f9d7"><div class="ttname"><a href="classmfem_1_1Hypre.html#a8f61b67367f87ee753aa9a38b8f6f9d7">mfem::Hypre::Init</a></div><div class="ttdeci">static void Init()</div><div class="ttdoc">Initialize hypre by calling HYPRE_Init() and set default options. After calling Hypre::Init(),...</div><div class="ttdef"><b>Definition</b> <a href="hypre_8cpp_source.html#l00033">hypre.cpp:33</a></div></div>
<div class="ttc" id="aclassmfem_1_1Mpi_html_ab87c1c95344bf5ec2094eef941f6d2ed"><div class="ttname"><a href="classmfem_1_1Mpi.html#ab87c1c95344bf5ec2094eef941f6d2ed">mfem::Mpi::WorldRank</a></div><div class="ttdeci">static int WorldRank()</div><div class="ttdoc">Return the MPI rank in MPI_COMM_WORLD.</div><div class="ttdef"><b>Definition</b> <a href="communication_8hpp_source.html#l00090">communication.hpp:90</a></div></div>
<div class="ttc" id="aclassmfem_1_1Mpi_html_abf2410b0d30926272e165a20f26cac19"><div class="ttname"><a href="classmfem_1_1Mpi.html#abf2410b0d30926272e165a20f26cac19">mfem::Mpi::WorldSize</a></div><div class="ttdeci">static int WorldSize()</div><div class="ttdoc">Return the size of MPI_COMM_WORLD.</div><div class="ttdef"><b>Definition</b> <a href="communication_8hpp_source.html#l00097">communication.hpp:97</a></div></div>
<div class="ttc" id="aclassmfem_1_1Mpi_html_aff95cf6c26ceff1297e90859d549dbe0"><div class="ttname"><a href="classmfem_1_1Mpi.html#aff95cf6c26ceff1297e90859d549dbe0">mfem::Mpi::Init</a></div><div class="ttdeci">static void Init(int &argc, char **&argv, int required=default_thread_required, int *provided=nullptr)</div><div class="ttdoc">Singleton creation with Mpi::Init(argc, argv).</div><div class="ttdef"><b>Definition</b> <a href="communication_8hpp_source.html#l00043">communication.hpp:43</a></div></div>
<div class="ttc" id="aclassmfem_1_1OptionsParser_html"><div class="ttname"><a href="classmfem_1_1OptionsParser.html">mfem::OptionsParser</a></div><div class="ttdef"><b>Definition</b> <a href="optparser_8hpp_source.html#l00031">optparser.hpp:32</a></div></div>
<div class="ttc" id="aclassmfem_1_1OptionsParser_html_a40c1d9865e6d5f27331951c94ca34b9c"><div class="ttname"><a href="classmfem_1_1OptionsParser.html#a40c1d9865e6d5f27331951c94ca34b9c">mfem::OptionsParser::Parse</a></div><div class="ttdeci">void Parse()</div><div class="ttdoc">Parse the command-line options. Note that this function expects all the options provided through the ...</div><div class="ttdef"><b>Definition</b> <a href="optparser_8cpp_source.html#l00151">optparser.cpp:151</a></div></div>
<div class="ttc" id="aclassmfem_1_1OptionsParser_html_a61a6050096a67ab9c738720bfc808d7f"><div class="ttname"><a href="classmfem_1_1OptionsParser.html#a61a6050096a67ab9c738720bfc808d7f">mfem::OptionsParser::PrintUsage</a></div><div class="ttdeci">void PrintUsage(std::ostream &out) const</div><div class="ttdoc">Print the usage message.</div><div class="ttdef"><b>Definition</b> <a href="optparser_8cpp_source.html#l00462">optparser.cpp:462</a></div></div>
<div class="ttc" id="aclassmfem_1_1OptionsParser_html_a6472ddf18c64587578e66c232e5db415"><div class="ttname"><a href="classmfem_1_1OptionsParser.html#a6472ddf18c64587578e66c232e5db415">mfem::OptionsParser::PrintOptions</a></div><div class="ttdeci">void PrintOptions(std::ostream &out) const</div><div class="ttdoc">Print the options.</div><div class="ttdef"><b>Definition</b> <a href="optparser_8cpp_source.html#l00331">optparser.cpp:331</a></div></div>
<div class="ttc" id="aclassmfem_1_1OptionsParser_html_a89d9b7f6e802eee842a4405279ec49f8"><div class="ttname"><a href="classmfem_1_1OptionsParser.html#a89d9b7f6e802eee842a4405279ec49f8">mfem::OptionsParser::AddOption</a></div><div class="ttdeci">void AddOption(bool *var, const char *enable_short_name, const char *enable_long_name, const char *disable_short_name, const char *disable_long_name, const char *description, bool required=false)</div><div class="ttdoc">Add a boolean option and set 'var' to receive the value. Enable/disable tags are used to set the bool...</div><div class="ttdef"><b>Definition</b> <a href="optparser_8hpp_source.html#l00082">optparser.hpp:82</a></div></div>
<div class="ttc" id="aclassmfem_1_1OptionsParser_html_ab568767f32536deedad0fd2608f1343b"><div class="ttname"><a href="classmfem_1_1OptionsParser.html#ab568767f32536deedad0fd2608f1343b">mfem::OptionsParser::Good</a></div><div class="ttdeci">bool Good() const</div><div class="ttdoc">Return true if the command line options were parsed successfully.</div><div class="ttdef"><b>Definition</b> <a href="optparser_8hpp_source.html#l00159">optparser.hpp:159</a></div></div>
<div class="ttc" id="aclassmfem_1_1PWConstCoefficient_html"><div class="ttname"><a href="classmfem_1_1PWConstCoefficient.html">mfem::PWConstCoefficient</a></div><div class="ttdoc">A piecewise constant coefficient with the constants keyed off the element attribute numbers.</div><div class="ttdef"><b>Definition</b> <a href="coefficient_8hpp_source.html#l00103">coefficient.hpp:104</a></div></div>
<div class="ttc" id="aclassmfem_1_1VectorFEDomainLFIntegrator_html"><div class="ttname"><a href="classmfem_1_1VectorFEDomainLFIntegrator.html">mfem::VectorFEDomainLFIntegrator</a></div><div class="ttdoc">for VectorFiniteElements (Nedelec, Raviart-Thomas)</div><div class="ttdef"><b>Definition</b> <a href="lininteg_8hpp_source.html#l00343">lininteg.hpp:344</a></div></div>
<div class="ttc" id="aclassmfem_1_1VectorFunctionCoefficient_html"><div class="ttname"><a href="classmfem_1_1VectorFunctionCoefficient.html">mfem::VectorFunctionCoefficient</a></div><div class="ttdoc">A general vector function coefficient.</div><div class="ttdef"><b>Definition</b> <a href="coefficient_8hpp_source.html#l00738">coefficient.hpp:739</a></div></div>
<div class="ttc" id="aclassmfem_1_1Vector_html"><div class="ttname"><a href="classmfem_1_1Vector.html">mfem::Vector</a></div><div class="ttdoc">Vector data type.</div><div class="ttdef"><b>Definition</b> <a href="vector_8hpp_source.html#l00081">vector.hpp:82</a></div></div>
<div class="ttc" id="aclassmfem_1_1Vector_html_a8b48746eca2af11662aca857cb3031f8"><div class="ttname"><a href="classmfem_1_1Vector.html#a8b48746eca2af11662aca857cb3031f8">mfem::Vector::Norml2</a></div><div class="ttdeci">real_t Norml2() const</div><div class="ttdoc">Returns the l2 norm of the vector.</div><div class="ttdef"><b>Definition</b> <a href="vector_8cpp_source.html#l00931">vector.cpp:931</a></div></div>
<div class="ttc" id="aclassmfem_1_1Vector_html_aa9c5be6e53d0993d5851c276ba2a6079"><div class="ttname"><a href="classmfem_1_1Vector.html#aa9c5be6e53d0993d5851c276ba2a6079">mfem::Vector::Size</a></div><div class="ttdeci">int Size() const</div><div class="ttdoc">Returns the size of the vector.</div><div class="ttdef"><b>Definition</b> <a href="vector_8hpp_source.html#l00226">vector.hpp:226</a></div></div>
<div class="ttc" id="aclassmfem_1_1Vector_html_ad3b95940dbc35584167bc142b1969db1"><div class="ttname"><a href="classmfem_1_1Vector.html#ad3b95940dbc35584167bc142b1969db1">mfem::Vector::GetData</a></div><div class="ttdeci">real_t * GetData() const</div><div class="ttdoc">Return a pointer to the beginning of the Vector data.</div><div class="ttdef"><b>Definition</b> <a href="vector_8hpp_source.html#l00235">vector.hpp:235</a></div></div>
<div class="ttc" id="aconvection-diffusion_8cpp_html_a20d35965a489ee0e4396d34b3867aaed"><div class="ttname"><a href="convection-diffusion_8cpp.html#a20d35965a489ee0e4396d34b3867aaed">beta</a></div><div class="ttdeci">Vector beta</div><div class="ttdef"><b>Definition</b> <a href="convection-diffusion_8cpp_source.html#l00082">convection-diffusion.cpp:82</a></div></div>
<div class="ttc" id="aex10_8cpp_html_a59d201f341fb1b7f6981074fa2653bba"><div class="ttname"><a href="ex10_8cpp.html#a59d201f341fb1b7f6981074fa2653bba">visualize</a></div><div class="ttdeci">void visualize(ostream &os, Mesh *mesh, GridFunction *deformed_nodes, GridFunction *field, const char *field_name=NULL, bool init_vis=false)</div><div class="ttdef"><b>Definition</b> <a href="ex10_8cpp_source.html#l00355">ex10.cpp:355</a></div></div>
<div class="ttc" id="aex15_8cpp_html_a7dc6cd505f60a008e9246be53a4d460d"><div class="ttname"><a href="ex15_8cpp.html#a7dc6cd505f60a008e9246be53a4d460d">alpha</a></div><div class="ttdeci">const real_t alpha</div><div class="ttdef"><b>Definition</b> <a href="ex15_8cpp_source.html#l00369">ex15.cpp:369</a></div></div>
<div class="ttc" id="aget__mumps__version_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="get__mumps__version_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition</b> <a href="get__mumps__version_8cpp_source.html#l00025">get_mumps_version.cpp:25</a></div></div>
<div class="ttc" id="anamespacemfem_html"><div class="ttname"><a href="namespacemfem.html">mfem</a></div><div class="ttdef"><b>Definition</b> <a href="CodeDocumentation_8dox_source.html#l00001">CodeDocumentation.dox:1</a></div></div>
<div class="ttc" id="anamespacemfem_html_a6730dfc6ef41ddf5d50dc1b7ca69e234"><div class="ttname"><a href="namespacemfem.html#a6730dfc6ef41ddf5d50dc1b7ca69e234">mfem::RAP</a></div><div class="ttdeci">void RAP(const DenseMatrix &A, const DenseMatrix &P, DenseMatrix &RAP)</div><div class="ttdef"><b>Definition</b> <a href="densemat_8cpp_source.html#l03371">densemat.cpp:3371</a></div></div>
<div class="ttc" id="anamespacemfem_html_ac8ba85124b5de90bf368176b69d6019c"><div class="ttname"><a href="namespacemfem.html#ac8ba85124b5de90bf368176b69d6019c">mfem::real_t</a></div><div class="ttdeci">float real_t</div><div class="ttdef"><b>Definition</b> <a href="config_8hpp_source.html#l00043">config.hpp:43</a></div></div>
<div class="ttc" id="anamespacemfem_html_ae4874a6b8c9f64a17e7d085b9794d41f"><div class="ttname"><a href="namespacemfem.html#ae4874a6b8c9f64a17e7d085b9794d41f">mfem::f</a></div><div class="ttdeci">std::function< real_t(const Vector &)> f(real_t mass_coeff)</div><div class="ttdef"><b>Definition</b> <a href="lor__mms_8hpp_source.html#l00030">lor_mms.hpp:30</a></div></div>
<div class="ttc" id="anamespacemfem_html_afb165eb5b98c484a3b25f6c638f641d0"><div class="ttname"><a href="namespacemfem.html#afb165eb5b98c484a3b25f6c638f641d0">mfem::Add</a></div><div class="ttdeci">void Add(const DenseMatrix &A, const DenseMatrix &B, real_t alpha, DenseMatrix &C)</div><div class="ttdoc">C = A + alpha*B.</div><div class="ttdef"><b>Definition</b> <a href="densemat_8cpp_source.html#l02380">densemat.cpp:2380</a></div></div>
<div class="ttc" id="anavier__mms_8cpp_html_a8e98a195a94a1d66a8d553bbc2671409"><div class="ttname"><a href="navier__mms_8cpp.html#a8e98a195a94a1d66a8d553bbc2671409">p</a></div><div class="ttdeci">real_t p(const Vector &x, real_t t)</div><div class="ttdef"><b>Definition</b> <a href="navier__mms_8cpp_source.html#l00053">navier_mms.cpp:53</a></div></div>
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