AppShop::Matrix::Boundary Namespace Reference

Integration of boundary face matrices. More...

Functions
template<int dim>
void	advection (FullMatrix< double > &M, const FEFaceValuesBase< dim > &fe, const std::vector< Point< dim > > &velocity, double factor=1.)
	Upwind flux at the boundary.
template<int dim>
void	advection (FullMatrix< double > &M, const FEFaceValuesBase< dim > &fe, const VectorSlice< const std::vector< std::vector< double > > > &velocity, double factor=1.)
	Upwind flux at the boundary.
template<int dim>
void	u_dot_n (std::vector< MatrixBlock< FullMatrix< double > > > &M, const std::vector< unsigned int > &indices, const FEFaceValuesBase< dim > &fe, const FEFaceValuesBase< dim > &fetest, double factor=1.)
	Scalar product of trial function and normal vector on the boundary.
template<int dim>
void	u_dot_n_scaled (std::vector< MatrixBlock< FullMatrix< double > > > &M, const std::vector< unsigned int > &indices, const FEFaceValuesBase< dim > &fe, const FEFaceValuesBase< dim > &fetest, const std::vector< double > &factor, bool divide=false)
	Scalar product of trial function and normal vector on the boundary.
template<int dim>
void	u_ni (FullMatrix< double > &M, const FEFaceValuesBase< dim > &fe, const FEFaceValuesBase< dim > &fetest, unsigned int i)
	u times a single component of the normal vector.
template<int dim>
void	jump (FullMatrix< double > &M, const FEFaceValuesBase< dim > &fe, const double a=1.)
	The boundary form discretizing.
template<int dim>
void	jump_scaled (FullMatrix< double > &M, const FEFaceValuesBase< dim > &fe, const std::vector< double > &factor, const double factor2=1., bool divide=false)
	Boundary mass matrix.
template<int dim>
void	nitsche (FullMatrix< double > &M, const FEFaceValuesBase< dim > &fe, double penalty, double factor=1.)
	Weak boundary condition of Nitsche.
template<int dim>
void	nitsche_scaled (FullMatrix< double > &M, const FEFaceValuesBase< dim > &fe, const std::vector< double > &factor, double penalty)
	Weak boundary condition of Nitsche.
template<int dim>
void	nitsche_div (FullMatrix< double > &M, const FEFaceValuesBase< dim > &fe, double penalty)
	Elasticity.

Detailed Description

Integration of boundary face matrices.

Function Documentation

template<int dim>

void AppShop::Matrix::Boundary::advection	(	FullMatrix< double > &	M,
		const FEFaceValuesBase< dim > &	fe,
		const std::vector< Point< dim > > &	velocity,
		double	factor = 1.
	)

Upwind flux at the boundary.

template<int dim>

void AppShop::Matrix::Boundary::advection	(	FullMatrix< double > &	M,
		const FEFaceValuesBase< dim > &	fe,
		const VectorSlice< const std::vector< std::vector< double > > > &	velocity,
		double	factor = 1.
	)

Upwind flux at the boundary.

template<int dim>

void AppShop::Matrix::Boundary::jump	(	FullMatrix< double > &	M,
		const FEFaceValuesBase< dim > &	fe,
		const double	a = 1.
	)

The boundary form discretizing.

\[ \left<a u,v\right> \]

template<int dim>

void AppShop::Matrix::Boundary::jump_scaled	(	FullMatrix< double > &	M,
		const FEFaceValuesBase< dim > &	fe,
		const std::vector< double > &	factor,
		const double	factor2 = 1.,
		bool	divide = false
	)

Boundary mass matrix.

template<int dim>

void AppShop::Matrix::Boundary::nitsche	(	FullMatrix< double > &	M,
		const FEFaceValuesBase< dim > &	fe,
		double	penalty,
		double	factor = 1.
	)

Weak boundary condition of Nitsche.

template<int dim>

void AppShop::Matrix::Boundary::nitsche_div	(	FullMatrix< double > &	M,
		const FEFaceValuesBase< dim > &	fe,
		double	penalty
	)

Elasticity.

template<int dim>

void AppShop::Matrix::Boundary::nitsche_scaled	(	FullMatrix< double > &	M,
		const FEFaceValuesBase< dim > &	fe,
		const std::vector< double > &	factor,
		double	penalty
	)

Weak boundary condition of Nitsche.

template<int dim>

void AppShop::Matrix::Boundary::u_dot_n	(	std::vector< MatrixBlock< FullMatrix< double > > > &	M,
		const std::vector< unsigned int > &	indices,
		const FEFaceValuesBase< dim > &	fe,
		const FEFaceValuesBase< dim > &	fetest,
		double	factor = 1.
	)

Scalar product of trial function and normal vector on the boundary.

template<int dim>

void AppShop::Matrix::Boundary::u_dot_n_scaled	(	std::vector< MatrixBlock< FullMatrix< double > > > &	M,
		const std::vector< unsigned int > &	indices,
		const FEFaceValuesBase< dim > &	fe,
		const FEFaceValuesBase< dim > &	fetest,
		const std::vector< double > &	factor,
		bool	divide = false
	)

Scalar product of trial function and normal vector on the boundary.

template<int dim>

void AppShop::Matrix::Boundary::u_ni	(	FullMatrix< double > &	M,
		const FEFaceValuesBase< dim > &	fe,
		const FEFaceValuesBase< dim > &	fetest,
		unsigned int	i
	)

u times a single component of the normal vector.