New 384-line test file for Jacobian matrix computation:
- Tests J = ∂x/∂ξ mapping between parametric and physical coordinates
- Tests identity, scaled, and rotated element transformations
- Tests 2D triangles and 3D tetrahedra
- Tests physical derivatives: dN/dx = J⁻¹ · dN/dξ
- Validates element quality detection (det(J) > 0)
- Tests consistency with manual calculations
- Validates type stability and zero-allocation performance
- Tests both NTuple and Vector interfaces
Comprehensive test for Jacobian computation essential for coordinate
transformation and integration in FEM assembly.
Jukka Aho