Add quadratic and cubic shape functions#15
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JonasHoelscher merged 16 commits intomainfrom Jul 14, 2025
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Update gmsh mesh parsing to work for shape functions with higher order. Fix additional bugs occuring for higher order shape functions.
Update test data due to small differences in the results. The difference are in the range of floating point errors.
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Add quadratic and cubic shape functions. The shape functions are implemented explicitly therefore even higher shape functions are not yet supported.
Nevertheless all simulations have been updated to handle higher order shape functions, therefore implementing shape functions of order 4 and higher should be done more easily.
Additionally some functions in the gmsh mesh parsing have been changed since they always assumed linear shape functions.
Tests are still using linear shape functions but the higher order shape function have been tested separately.
The test data had to be updated. The diference are very small and in the range of errors due to floating points calculations (with 64 bit).