Reference documentation for deal.II version Git f102a78320 2021-10-16 14:49:02 -0400
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Namespaces
transformations.h File Reference
#include <deal.II/base/config.h>
#include <deal.II/base/point.h>
#include <deal.II/base/symmetric_tensor.h>
#include <deal.II/base/tensor.h>

Go to the source code of this file.

Namespaces

 Physics
 
 Physics::Transformations
 
 Physics::Transformations::Rotations
 
 Physics::Transformations::Contravariant
 
 Physics::Transformations::Covariant
 
 Physics::Transformations::Piola
 

Functions

Rotation matrices
template<typename Number >
Tensor< 2, 2, Number > Physics::Transformations::Rotations::rotation_matrix_2d (const Number &angle)
 
template<typename Number >
Tensor< 2, 3, Number > Physics::Transformations::Rotations::rotation_matrix_3d (const Point< 3, Number > &axis, const Number &angle)
 
Push forward operations
template<int dim, typename Number >
Tensor< 1, dim, Number > Physics::Transformations::Contravariant::push_forward (const Tensor< 1, dim, Number > &V, const Tensor< 2, dim, Number > &F)
 
template<int dim, typename Number >
Tensor< 2, dim, Number > Physics::Transformations::Contravariant::push_forward (const Tensor< 2, dim, Number > &T, const Tensor< 2, dim, Number > &F)
 
template<int dim, typename Number >
SymmetricTensor< 2, dim, Number > Physics::Transformations::Contravariant::push_forward (const SymmetricTensor< 2, dim, Number > &T, const Tensor< 2, dim, Number > &F)
 
template<int dim, typename Number >
Tensor< 4, dim, Number > Physics::Transformations::Contravariant::push_forward (const Tensor< 4, dim, Number > &H, const Tensor< 2, dim, Number > &F)
 
template<int dim, typename Number >
SymmetricTensor< 4, dim, Number > Physics::Transformations::Contravariant::push_forward (const SymmetricTensor< 4, dim, Number > &H, const Tensor< 2, dim, Number > &F)
 
Pull back operations
template<int dim, typename Number >
Tensor< 1, dim, Number > Physics::Transformations::Contravariant::pull_back (const Tensor< 1, dim, Number > &v, const Tensor< 2, dim, Number > &F)
 
template<int dim, typename Number >
Tensor< 2, dim, Number > Physics::Transformations::Contravariant::pull_back (const Tensor< 2, dim, Number > &t, const Tensor< 2, dim, Number > &F)
 
template<int dim, typename Number >
SymmetricTensor< 2, dim, Number > Physics::Transformations::Contravariant::pull_back (const SymmetricTensor< 2, dim, Number > &t, const Tensor< 2, dim, Number > &F)
 
template<int dim, typename Number >
Tensor< 4, dim, Number > Physics::Transformations::Contravariant::pull_back (const Tensor< 4, dim, Number > &h, const Tensor< 2, dim, Number > &F)
 
template<int dim, typename Number >
SymmetricTensor< 4, dim, Number > Physics::Transformations::Contravariant::pull_back (const SymmetricTensor< 4, dim, Number > &h, const Tensor< 2, dim, Number > &F)
 
Push forward operations
template<int dim, typename Number >
Tensor< 1, dim, Number > Physics::Transformations::Covariant::push_forward (const Tensor< 1, dim, Number > &V, const Tensor< 2, dim, Number > &F)
 
template<int dim, typename Number >
Tensor< 2, dim, Number > Physics::Transformations::Covariant::push_forward (const Tensor< 2, dim, Number > &T, const Tensor< 2, dim, Number > &F)
 
template<int dim, typename Number >
SymmetricTensor< 2, dim, Number > Physics::Transformations::Covariant::push_forward (const SymmetricTensor< 2, dim, Number > &T, const Tensor< 2, dim, Number > &F)
 
template<int dim, typename Number >
Tensor< 4, dim, Number > Physics::Transformations::Covariant::push_forward (const Tensor< 4, dim, Number > &H, const Tensor< 2, dim, Number > &F)
 
template<int dim, typename Number >
SymmetricTensor< 4, dim, Number > Physics::Transformations::Covariant::push_forward (const SymmetricTensor< 4, dim, Number > &H, const Tensor< 2, dim, Number > &F)
 
Pull back operations
template<int dim, typename Number >
Tensor< 1, dim, Number > Physics::Transformations::Covariant::pull_back (const Tensor< 1, dim, Number > &v, const Tensor< 2, dim, Number > &F)
 
template<int dim, typename Number >
Tensor< 2, dim, Number > Physics::Transformations::Covariant::pull_back (const Tensor< 2, dim, Number > &t, const Tensor< 2, dim, Number > &F)
 
template<int dim, typename Number >
SymmetricTensor< 2, dim, Number > Physics::Transformations::Covariant::pull_back (const SymmetricTensor< 2, dim, Number > &t, const Tensor< 2, dim, Number > &F)
 
template<int dim, typename Number >
Tensor< 4, dim, Number > Physics::Transformations::Covariant::pull_back (const Tensor< 4, dim, Number > &h, const Tensor< 2, dim, Number > &F)
 
template<int dim, typename Number >
SymmetricTensor< 4, dim, Number > Physics::Transformations::Covariant::pull_back (const SymmetricTensor< 4, dim, Number > &h, const Tensor< 2, dim, Number > &F)
 
Push forward operations
template<int dim, typename Number >
Tensor< 1, dim, Number > Physics::Transformations::Piola::push_forward (const Tensor< 1, dim, Number > &V, const Tensor< 2, dim, Number > &F)
 
template<int dim, typename Number >
Tensor< 2, dim, Number > Physics::Transformations::Piola::push_forward (const Tensor< 2, dim, Number > &T, const Tensor< 2, dim, Number > &F)
 
template<int dim, typename Number >
SymmetricTensor< 2, dim, Number > Physics::Transformations::Piola::push_forward (const SymmetricTensor< 2, dim, Number > &T, const Tensor< 2, dim, Number > &F)
 
template<int dim, typename Number >
Tensor< 4, dim, Number > Physics::Transformations::Piola::push_forward (const Tensor< 4, dim, Number > &H, const Tensor< 2, dim, Number > &F)
 
template<int dim, typename Number >
SymmetricTensor< 4, dim, Number > Physics::Transformations::Piola::push_forward (const SymmetricTensor< 4, dim, Number > &H, const Tensor< 2, dim, Number > &F)
 
Pull back operations
template<int dim, typename Number >
Tensor< 1, dim, Number > Physics::Transformations::Piola::pull_back (const Tensor< 1, dim, Number > &v, const Tensor< 2, dim, Number > &F)
 
template<int dim, typename Number >
Tensor< 2, dim, Number > Physics::Transformations::Piola::pull_back (const Tensor< 2, dim, Number > &t, const Tensor< 2, dim, Number > &F)
 
template<int dim, typename Number >
SymmetricTensor< 2, dim, Number > Physics::Transformations::Piola::pull_back (const SymmetricTensor< 2, dim, Number > &t, const Tensor< 2, dim, Number > &F)
 
template<int dim, typename Number >
Tensor< 4, dim, Number > Physics::Transformations::Piola::pull_back (const Tensor< 4, dim, Number > &h, const Tensor< 2, dim, Number > &F)
 
template<int dim, typename Number >
SymmetricTensor< 4, dim, Number > Physics::Transformations::Piola::pull_back (const SymmetricTensor< 4, dim, Number > &h, const Tensor< 2, dim, Number > &F)
 
Special operations
template<int dim, typename Number >
Tensor< 1, dim, Number > Physics::Transformations::nansons_formula (const Tensor< 1, dim, Number > &N, const Tensor< 2, dim, Number > &F)
 
Basis transformations
template<int dim, typename Number >
Tensor< 1, dim, Number > Physics::Transformations::basis_transformation (const Tensor< 1, dim, Number > &V, const Tensor< 2, dim, Number > &B)
 
template<int dim, typename Number >
Tensor< 2, dim, Number > Physics::Transformations::basis_transformation (const Tensor< 2, dim, Number > &T, const Tensor< 2, dim, Number > &B)
 
template<int dim, typename Number >
SymmetricTensor< 2, dim, Number > Physics::Transformations::basis_transformation (const SymmetricTensor< 2, dim, Number > &T, const Tensor< 2, dim, Number > &B)
 
template<int dim, typename Number >
Tensor< 4, dim, Number > Physics::Transformations::basis_transformation (const Tensor< 4, dim, Number > &H, const Tensor< 2, dim, Number > &B)
 
template<int dim, typename Number >
SymmetricTensor< 4, dim, Number > Physics::Transformations::basis_transformation (const SymmetricTensor< 4, dim, Number > &H, const Tensor< 2, dim, Number > &B)