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Add quadratic and cubic shape functions#15

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JonasHoelscher merged 16 commits intomainfrom
cubic-shape-functions
Jul 14, 2025
Merged

Add quadratic and cubic shape functions#15
JonasHoelscher merged 16 commits intomainfrom
cubic-shape-functions

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@JonasHoelscher JonasHoelscher commented Jul 10, 2025

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).

@JonasHoelscher JonasHoelscher merged commit 5806265 into main Jul 14, 2025
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