notation.h File Reference

#include <deal.II/base/config.h>
#include <deal.II/base/exceptions.h>
#include <deal.II/base/numbers.h>
#include <deal.II/base/symmetric_tensor.h>
#include <deal.II/base/tensor.h>
#include <deal.II/lac/full_matrix.h>
#include <deal.II/lac/vector.h>
#include <type_traits>

Go to the source code of this file.

Namespaces
	Physics
	Physics::Notation
	Physics::Notation::Kelvin
	A namespace with functions that assist in the conversion of vectors and tensors to and from a compressed format using Kelvin notation and weighting.

Functions
static ::ExceptionBase &	Physics::Notation::Kelvin::ExcNotationExcFullMatrixToTensorRowSize2 (int arg1, int arg2, int arg3)
static ::ExceptionBase &	Physics::Notation::Kelvin::ExcNotationExcFullMatrixToTensorRowSize3 (int arg1, int arg2, int arg3, int arg4)
static ::ExceptionBase &	Physics::Notation::Kelvin::ExcNotationExcFullMatrixToTensorColSize2 (int arg1, int arg2, int arg3)
static ::ExceptionBase &	Physics::Notation::Kelvin::ExcNotationExcFullMatrixToTensorColSize3 (int arg1, int arg2, int arg3, int arg4)
Forward operation: Tensor notation to Kelvin notation
template<typename Number >
Vector< Number >	Physics::Notation::Kelvin::to_vector (const Number &s)
template<int dim, typename Number >
Vector< Number >	Physics::Notation::Kelvin::to_vector (const Tensor< 0, dim, Number > &s)
template<int dim, typename Number >
Vector< Number >	Physics::Notation::Kelvin::to_vector (const Tensor< 1, dim, Number > &v)
template<int dim, typename Number >
Vector< Number >	Physics::Notation::Kelvin::to_vector (const Tensor< 2, dim, Number > &t)
template<int dim, typename Number >
Vector< Number >	Physics::Notation::Kelvin::to_vector (const SymmetricTensor< 2, dim, Number > &st)
template<typename Number >
FullMatrix< Number >	Physics::Notation::Kelvin::to_matrix (const Number &s)
template<int dim, typename Number >
FullMatrix< Number >	Physics::Notation::Kelvin::to_matrix (const Tensor< 0, dim, Number > &s)
template<int dim, typename Number >
FullMatrix< Number >	Physics::Notation::Kelvin::to_matrix (const Tensor< 1, dim, Number > &v)
template<int dim, typename Number >
FullMatrix< Number >	Physics::Notation::Kelvin::to_matrix (const Tensor< 2, dim, Number > &t)
template<int dim, typename Number >
FullMatrix< Number >	Physics::Notation::Kelvin::to_matrix (const SymmetricTensor< 2, dim, Number > &st)
template<int dim, typename SubTensor1 = Tensor<2, dim>, typename SubTensor2 = Tensor<1, dim>, typename Number >
FullMatrix< Number >	Physics::Notation::Kelvin::to_matrix (const Tensor< 3, dim, Number > &t)
template<int dim, typename Number >
FullMatrix< Number >	Physics::Notation::Kelvin::to_matrix (const Tensor< 4, dim, Number > &t)
template<int dim, typename Number >
FullMatrix< Number >	Physics::Notation::Kelvin::to_matrix (const SymmetricTensor< 4, dim, Number > &st)
Reverse operation: Kelvin notation to tensor notation
template<typename Number >
void	Physics::Notation::Kelvin::to_tensor (const Vector< Number > &vec, Number &s)
template<int dim, typename Number >
void	Physics::Notation::Kelvin::to_tensor (const Vector< Number > &vec, Tensor< 0, dim, Number > &s)
template<int dim, typename Number >
void	Physics::Notation::Kelvin::to_tensor (const Vector< Number > &vec, Tensor< 1, dim, Number > &v)
template<int dim, typename Number >
void	Physics::Notation::Kelvin::to_tensor (const Vector< Number > &vec, Tensor< 2, dim, Number > &t)
template<int dim, typename Number >
void	Physics::Notation::Kelvin::to_tensor (const Vector< Number > &vec, SymmetricTensor< 2, dim, Number > &st)
template<typename Number >
void	Physics::Notation::Kelvin::to_tensor (const FullMatrix< Number > &mtrx, Number &s)
template<int dim, typename Number >
void	Physics::Notation::Kelvin::to_tensor (const FullMatrix< Number > &mtrx, Tensor< 0, dim, Number > &s)
template<int dim, typename Number >
void	Physics::Notation::Kelvin::to_tensor (const FullMatrix< Number > &mtrx, Tensor< 1, dim, Number > &v)
template<int dim, typename Number >
void	Physics::Notation::Kelvin::to_tensor (const FullMatrix< Number > &mtrx, Tensor< 2, dim, Number > &t)
template<int dim, typename Number >
void	Physics::Notation::Kelvin::to_tensor (const FullMatrix< Number > &mtrx, SymmetricTensor< 2, dim, Number > &st)
template<int dim, typename Number >
void	Physics::Notation::Kelvin::to_tensor (const FullMatrix< Number > &mtrx, Tensor< 3, dim, Number > &t)
template<int dim, typename Number >
void	Physics::Notation::Kelvin::to_tensor (const FullMatrix< Number > &mtrx, Tensor< 4, dim, Number > &t)
template<int dim, typename Number >
void	Physics::Notation::Kelvin::to_tensor (const FullMatrix< Number > &mtrx, SymmetricTensor< 4, dim, Number > &st)
template<typename TensorType , typename Number >
TensorType	Physics::Notation::Kelvin::to_tensor (const Vector< Number > &vec)
template<typename TensorType , typename Number >
TensorType	Physics::Notation::Kelvin::to_tensor (const FullMatrix< Number > &vec)
Forward operation: Tensor notation to Kelvin notation
template<typename Number >
Vector< Number >	Physics::Notation::Kelvin::to_vector (const Number &s)
template<int dim, typename Number >
Vector< Number >	Physics::Notation::Kelvin::to_vector (const Tensor< 0, dim, Number > &s)
template<int dim, typename Number >
Vector< Number >	Physics::Notation::Kelvin::to_vector (const Tensor< 1, dim, Number > &v)
template<int dim, typename Number >
Vector< Number >	Physics::Notation::Kelvin::to_vector (const Tensor< 2, dim, Number > &t)
template<int dim, typename Number >
Vector< Number >	Physics::Notation::Kelvin::to_vector (const SymmetricTensor< 2, dim, Number > &st)
template<typename Number >
FullMatrix< Number >	Physics::Notation::Kelvin::to_matrix (const Number &s)
template<int dim, typename Number >
FullMatrix< Number >	Physics::Notation::Kelvin::to_matrix (const Tensor< 0, dim, Number > &s)
template<int dim, typename Number >
FullMatrix< Number >	Physics::Notation::Kelvin::to_matrix (const Tensor< 1, dim, Number > &v)
template<int dim, typename Number >
FullMatrix< Number >	Physics::Notation::Kelvin::to_matrix (const Tensor< 2, dim, Number > &t)
template<int dim, typename Number >
FullMatrix< Number >	Physics::Notation::Kelvin::to_matrix (const SymmetricTensor< 2, dim, Number > &st)
template<int dim, typename SubTensor1 = Tensor<2, dim>, typename SubTensor2 = Tensor<1, dim>, typename Number >
FullMatrix< Number >	Physics::Notation::Kelvin::to_matrix (const Tensor< 3, dim, Number > &t)
template<int dim, typename Number >
FullMatrix< Number >	Physics::Notation::Kelvin::to_matrix (const Tensor< 4, dim, Number > &t)
template<int dim, typename Number >
FullMatrix< Number >	Physics::Notation::Kelvin::to_matrix (const SymmetricTensor< 4, dim, Number > &st)
Reverse operation: Kelvin notation to tensor notation
template<typename Number >
void	Physics::Notation::Kelvin::to_tensor (const Vector< Number > &vec, Number &s)
template<int dim, typename Number >
void	Physics::Notation::Kelvin::to_tensor (const Vector< Number > &vec, Tensor< 0, dim, Number > &s)
template<int dim, typename Number >
void	Physics::Notation::Kelvin::to_tensor (const Vector< Number > &vec, Tensor< 1, dim, Number > &v)
template<int dim, typename Number >
void	Physics::Notation::Kelvin::to_tensor (const Vector< Number > &vec, Tensor< 2, dim, Number > &t)
template<int dim, typename Number >
void	Physics::Notation::Kelvin::to_tensor (const Vector< Number > &vec, SymmetricTensor< 2, dim, Number > &st)
template<typename Number >
void	Physics::Notation::Kelvin::to_tensor (const FullMatrix< Number > &mtrx, Number &s)
template<int dim, typename Number >
void	Physics::Notation::Kelvin::to_tensor (const FullMatrix< Number > &mtrx, Tensor< 0, dim, Number > &s)
template<int dim, typename Number >
void	Physics::Notation::Kelvin::to_tensor (const FullMatrix< Number > &mtrx, Tensor< 1, dim, Number > &v)
template<int dim, typename Number >
void	Physics::Notation::Kelvin::to_tensor (const FullMatrix< Number > &mtrx, Tensor< 2, dim, Number > &t)
template<int dim, typename Number >
void	Physics::Notation::Kelvin::to_tensor (const FullMatrix< Number > &mtrx, SymmetricTensor< 2, dim, Number > &st)
template<int dim, typename Number >
void	Physics::Notation::Kelvin::to_tensor (const FullMatrix< Number > &mtrx, Tensor< 3, dim, Number > &t)
template<int dim, typename Number >
void	Physics::Notation::Kelvin::to_tensor (const FullMatrix< Number > &mtrx, Tensor< 4, dim, Number > &t)
template<int dim, typename Number >
void	Physics::Notation::Kelvin::to_tensor (const FullMatrix< Number > &mtrx, SymmetricTensor< 4, dim, Number > &st)
template<typename TensorType , typename Number >
TensorType	Physics::Notation::Kelvin::to_tensor (const Vector< Number > &vec)
template<typename TensorType , typename Number >
TensorType	Physics::Notation::Kelvin::to_tensor (const FullMatrix< Number > &vec)