Add all Dunavant quadrature rules for the triangle #43
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Currently, the first 7 rules of the triangle quadrature are Dunavant's rules. The higher order rules stem from somewhere else (TODO: Add reference when figured out) In addition to the existing mixed rule, we added Dunavant until order 20. The default is still the mixed rule. By wrapping the order in the type TriangleQuadDunavant, the user can select the Dunavant rule. TODO: There are more and better rules out there for integrating on a triangle (some Dunavant rules have negative weights) See, for example, the QuadPy-Package. Probably, we want a similar package for Julia in the future.
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Thank you. Just changed the name of one struct and used TestItems.jl for the newly added test. Shall I merge? |
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Using SVector instead of Array to store the weights and nodes seems to cause type instability... |
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Currently, the first 7 rules of the triangle quadrature are Dunavant's rules. The higher order rules stem from somewhere else (TODO: Add reference when figured out)
In addition to the existing mixed rule, we added Dunavant until order 20.
The default is still the mixed rule. By wrapping the order in the type TriangleQuadDunavant, the user can select the Dunavant rule.
TODO: There are more and better rules out there for integrating on a triangle (some Dunavant rules have negative weights) See, for example, the QuadPy-Package.
Probably, we want a similar package for Julia in the future.