matrix_shop_cell.h File Reference

Matrix integration routines on cells for standard bilinear forms. More...

#include <appframe/app_shop.h>
#include <appframe/matrix_base.h>

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Namespaces
namespace	AppShop
	Integration routines for matrices and residual for standard applications.
namespace	AppShop::Matrix
	Local integration routines for matrices.
namespace	AppShop::Matrix::Cell
	Integration of cell matrices.

Functions
template<int dim>
void	AppShop::Matrix::Cell::mass (FullMatrix< double > &M, const FEValuesBase< dim > &fe, const double a=1.)
	The mass matrix.
template<int dim>
void	AppShop::Matrix::Cell::mass (FullMatrix< double > &M, const FEValuesBase< dim > &fe, const FEValuesBase< dim > &fetest, const unsigned int component, const double a=1.)
	The mass matrix between different elements.
template<int dim>
void	AppShop::Matrix::Cell::mass_scaled (FullMatrix< double > &M, const FEValuesBase< dim > &fe, const std::vector< double > &a, bool divide)
	Mass matrix with varying coefficient.
template<int dim>
void	AppShop::Matrix::Cell::mass_scaled (FullMatrix< double > &M, const FEValuesBase< dim > &fe, const FEValuesBase< dim > &fetest, const unsigned int select, const std::vector< double > &factor, bool divide=false)
	Mass matrix with varying coefficient for different elements.
template<int dim>
void	AppShop::Matrix::Cell::advection (FullMatrix< double > &M, const FEValuesBase< dim > &fe, const std::vector< Point< dim > > &velocity)
	Linear advection in divergence form.
template<int dim>
void	AppShop::Matrix::Cell::advection (FullMatrix< double > &M, const FEValuesBase< dim > &fe, const VectorSlice< const std::vector< std::vector< double > > > &velocity, double factor=1.)
	Linear advection in divergence form.
template<int dim>
void	AppShop::Matrix::Cell::div_primal (std::vector< MatrixBlock< FullMatrix< double > > > &M, const std::vector< unsigned int > &indices, const FEValuesBase< dim > &fe, const FEValuesBase< dim > &fetest, double factor=1.)
	Cell matrix for divergence.
template<int dim>
void	AppShop::Matrix::Cell::div (std::vector< MatrixBlock< FullMatrix< double > > > &M, const std::vector< unsigned int > &indices, const FEValuesBase< dim > &fe, const FEValuesBase< dim > &fetest, double factor=1.)
	Cell matrix for divergence.
template<int dim>
void	AppShop::Matrix::Cell::div_scaled (FullMatrix< double > &M, const FEValuesBase< dim > &fe, const FEValuesBase< dim > &fetest, const std::vector< double > &factor)
	Same as div_cell(), but with a possibly varying coefficient.
template<int dim>
void	AppShop::Matrix::Cell::di (FullMatrix< double > &M, const FEValuesBase< dim > &fe, const FEValuesBase< dim > &fetest, unsigned int i)
	Directional derivative in direction i.
template<int dim>
void	AppShop::Matrix::Cell::di_scaled (FullMatrix< double > &M, const FEValuesBase< dim > &fe, const FEValuesBase< dim > &fetest, unsigned int d, std::vector< double > &factor)
	Same as di_cell(), but with varying coefficient.
template<int dim>
void	AppShop::Matrix::Cell::eps_div (FullMatrix< double > &M, const FEValuesBase< dim > &fe, const FEValuesBase< dim > &fetest)
	Discretization for the transpose of the symmetric gradient.
template<int dim>
void	AppShop::Matrix::Cell::laplacian (FullMatrix< double > &M, const FEValuesBase< dim > &fe, double nu=1.)
	Laplacian in weak form.
template<int dim>
void	AppShop::Matrix::Cell::laplacian (FullMatrix< double > &M, const FEValuesBase< dim > &fe, Tensor< 2, dim > nu)
	Laplacian in weak form with a Tensor coefficient to allow anisotropic media \[ (K \nabla u, \nabla v) \] .
template<int dim>
void	AppShop::Matrix::Cell::laplacian_scaled (FullMatrix< double > &M, const FEValuesBase< dim > &fe, const std::vector< double > &nu, bool divide=false)
	Laplacian with varying coefficient.
template<int dim>
void	AppShop::Matrix::Cell::laplacian_scaled (FullMatrix< double > &M, const FEValuesBase< dim > &fe, const double nu, bool divide=false)
	Laplacian with constant coefficient.
template<int dim>
void	AppShop::Matrix::Cell::div_div (FullMatrix< double > &M, const FEValuesBase< dim > &fe, const double factor=1.)
	Second order divergence form for vector valued elements.

Detailed Description

Matrix integration routines on cells for standard bilinear forms.