[WIP] Pseudo-Transient Method #228
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…arSolve.jl into yd/pseudo-transient
avik-pal
requested changes
Oct 9, 2023
test/basictests.jl
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| @testset "PseudoTransient" begin | ||
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| #iip | ||
| function test_f!(du, u, p) | ||
| du[1] = 2 - 2u[1] | ||
| du[2] = u[1] - 4u[2] | ||
| return du | ||
| end | ||
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| #oop | ||
| simple_test(u, p) = 0.9f0 .* u .- u | ||
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| #test jacobian free PseudoTransient method | ||
| function f!(res, u, p) | ||
| @. res = u * u - p | ||
| end | ||
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| @testset "[IIP] u0: $(typeof(u0))" for u0 in (zeros(2),) | ||
| probN = NonlinearProblem{true}(test_f!, u0) | ||
| sol = solve(probN, PseudoTransient()) | ||
| @test sol.retcode == ReturnCode.Success | ||
| du = zeros(2) | ||
| test_f!(du, sol.u, 4.0) | ||
| @test du≈[0, 0] atol=1e-7 | ||
| end | ||
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| @testset "[OOP] u0: $(typeof(u0))" for u0 in ([1.0f0],) | ||
| probN = NonlinearProblem{false}(simple_test, u0) | ||
| sol = solve(probN, PseudoTransient(alpha_initial = 1.0)) | ||
| @test sol.retcode == ReturnCode.Success | ||
| @test abs(sol.u[1]) <= 1.0f-4 | ||
| end | ||
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| @testset "Jacobian Free PT" begin | ||
| u0 = [1.0, 1.0] | ||
| p = 2.0 | ||
| probN = NonlinearProblem(f!, u0, p) | ||
| linsolve = LinearSolve.KrylovJL_GMRES() | ||
| sol = solve(probN, | ||
| PseudoTransient(alpha_initial = 10.0, linsolve = linsolve), | ||
| reltol = 1e-9) | ||
| @test sol.retcode == ReturnCode.Success | ||
| end | ||
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| @testset "NewtonRaphson Fails" begin | ||
| p = [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0] | ||
| u0 = [-10.0, -1.0, 1.0, 2.0, 3.0, 4.0, 10.0] | ||
| probN = NonlinearProblem{false}(newton_fails, u0, p) | ||
| sol = solve(probN, PseudoTransient(alpha_initial = 1.0), abstol = 1e-10) | ||
| @test all(abs.(newton_fails(sol.u, p)) .< 1e-10) | ||
| end | ||
| end |
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Use similar setup as the NewtonRaphson tests.
Merged
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This PR adds pseudo-transient methods using adaptive step size described here created this new PR since #215 had too many merge conflicts