piola_util.h

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Namespaces
namespace	rheolef
	This file is part of Rheolef.

Functions
template<class T, class M>
void	piola_transformation (const geo_basic< T, M > &omega, const basis_on_pointset< T > &piola_on_pointset, reference_element hat_K, const std::vector< size_t > &dis_inod, Eigen::Matrix< point_basic< T >, Eigen::Dynamic, 1 > &x)
template<class T, class M>
void	jacobian_piola_transformation (const geo_basic< T, M > &omega, const basis_basic< T > &piola_basis, reference_element hat_K, const std::vector< size_t > &dis_inod, const point_basic< T > &hat_x, tensor_basic< T > &DF)
template<class T, class M>
void	jacobian_piola_transformation (const geo_basic< T, M > &omega, const basis_on_pointset< T > &piola_on_pointset, reference_element hat_K, const std::vector< size_t > &dis_inod, Eigen::Matrix< tensor_basic< T >, Eigen::Dynamic, 1 > &DF)
template<class T>
T	det_jacobian_piola_transformation (const tensor_basic< T > &DF, size_t d, size_t map_d)
template<class T, class M>
point_basic< T >	normal_from_piola_transformation (const geo_basic< T, M > &omega, const geo_element &S, const tensor_basic< T > &DF, size_t d)
template<class T>
tensor_basic< T >	pseudo_inverse_jacobian_piola_transformation (const tensor_basic< T > &DF, size_t d, size_t map_d)
template<class T, class M>
point_basic< T >	inverse_piola_transformation (const geo_basic< T, M > &omega, const reference_element &hat_K, const std::vector< size_t > &dis_inod, const point_basic< T > &x)
template<class T>
void	map_projector (const tensor_basic< T > &DF, size_t d, size_t map_d, tensor_basic< T > &P)
template<class T>
T	weight_coordinate_system (space_constant::coordinate_type sys_coord, const point_basic< T > &xq)
template<class T, class M>
void	piola_transformation_and_weight_integration (const geo_basic< T, M > &omega, const basis_on_pointset< T > &piola_on_quad, reference_element hat_K, const std::vector< size_t > &dis_inod, bool ignore_sys_coord, Eigen::Matrix< tensor_basic< T >, Eigen::Dynamic, 1 > &DF, Eigen::Matrix< point_basic< T >, Eigen::Dynamic, 1 > &x, Eigen::Matrix< T, Eigen::Dynamic, 1 > &w)