Rheolef  7.2
an efficient C++ finite element environment
 
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piola_util.h File Reference

Go to the source code of this file.

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< Tnormal_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< Tpseudo_inverse_jacobian_piola_transformation (const tensor_basic< T > &DF, size_t d, size_t map_d)
 
template<class T , class M >
point_basic< Tinverse_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)