Classes defining the HHO method (scalar and vector-valued) More...

Classes
class	HArDCore2D::HHOSpace
	Class definition: polynomial bases and operators. More...

struct	HArDCore2D::HHOSpace::CellBases
	Structure to store element bases. More...

struct	HArDCore2D::HHOSpace::EdgeBases
	Structure to store edge bases. More...

struct	HArDCore2D::HHOSpace::LocalOperators
	A structure to store local operators (gradient, potential, stabilisation) More...

class	HArDCore2D::VHHOSpace
	Class definition: polynomial bases and operators. More...

struct	HArDCore2D::VHHOSpace::CellBases
	Structure to store element bases. More...

struct	HArDCore2D::VHHOSpace::EdgeBases
	Structure to store edge bases. More...

struct	HArDCore2D::VHHOSpace::LocalOperators
	A structure to store local operators (gradient, potential, stabilisation) More...

Typedefs
typedef Family< MonomialScalarBasisCell >	HArDCore2D::HHOSpace::PolyBasisCellType

typedef TensorizedVectorFamily< PolyBasisCellType, dimspace >	HArDCore2D::HHOSpace::PolydBasisCellType

typedef Family< MonomialScalarBasisEdge >	HArDCore2D::HHOSpace::PolyBasisEdgeType

typedef std::function< double(const VectorRd &)>	HArDCore2D::HHOSpace::FunctionType

typedef Cell	HArDCore2D::HHOSpace::CellBases::GeometricSupport
	Geometric support.

typedef Edge	HArDCore2D::HHOSpace::EdgeBases::GeometricSupport
	Geometric support.

typedef std::function< bool(const Cell &)>	HArDCore2D::CellSelection

typedef Family< MonomialScalarBasisCell >	HArDCore2D::VHHOSpace::PolyBasisCellType

typedef TensorizedVectorFamily< PolyBasisCellType, dimspace >	HArDCore2D::VHHOSpace::PolydBasisCellType

typedef MatrixFamily< PolyBasisCellType, dimspace >	HArDCore2D::VHHOSpace::PolydxdBasisCellType

typedef Family< PolydxdBasisCellType >	HArDCore2D::VHHOSpace::PolySymdxdBasisCellType

typedef Family< MonomialScalarBasisEdge >	HArDCore2D::VHHOSpace::PolyBasisEdgeType

typedef Family< TensorizedVectorFamily< PolyBasisEdgeType, dimspace > >	HArDCore2D::VHHOSpace::PolydBasisEdgeType

typedef std::function< VectorRd(const VectorRd &)>	HArDCore2D::VHHOSpace::FunctionType

typedef std::function< MatrixRd(const VectorRd &)>	HArDCore2D::VHHOSpace::GradientType

typedef Cell	HArDCore2D::VHHOSpace::CellBases::GeometricSupport
	Geometric support.

typedef Edge	HArDCore2D::VHHOSpace::EdgeBases::GeometricSupport
	Geometric support.

Functions
	HArDCore2D::HHOSpace::LocalOperators::LocalOperators (const Eigen::MatrixXd &_gradient, const Eigen::MatrixXd &_potential, const Eigen::MatrixXd &_stabilisation)

	HArDCore2D::HHOSpace::HHOSpace (const Mesh &mesh, size_t K, bool use_threads=true, std::ostream &output=std::cout)
	Constructor.

const Mesh &	HArDCore2D::HHOSpace::mesh () const
	Return a const reference to the mesh.

const size_t &	HArDCore2D::HHOSpace::degree () const
	Return the polynomial degree (common edge and elements)

Eigen::VectorXd	HArDCore2D::HHOSpace::interpolate (const FunctionType &q, const int doe_cell=-1, const int doe_edge=-1) const
	Interpolator of a continuous function.

const CellBases &	HArDCore2D::HHOSpace::cellBases (size_t iT) const
	Return cell bases for element iT.

const CellBases &	HArDCore2D::HHOSpace::cellBases (const Cell &T) const
	Return cell bases for cell T.

const EdgeBases &	HArDCore2D::HHOSpace::edgeBases (size_t iE) const
	Return edge bases for edge iE.

const EdgeBases &	HArDCore2D::HHOSpace::edgeBases (const Edge &E) const
	Return cell bases for edge E.

const LocalOperators &	HArDCore2D::HHOSpace::operators (size_t iT) const
	Return operators for the cell of index iT.

const LocalOperators &	HArDCore2D::HHOSpace::operators (const Cell &T) const
	Return cell operators for cell T.

std::vector< std::pair< double, double > >	HArDCore2D::HHOSpace::computeNorms (const std::vector< Eigen::VectorXd > &list_dofs) const
	Computes the discrete L2 (cell unknowns only) and H1 norms of a list of vectors.

Eigen::VectorXd	HArDCore2D::HHOSpace::computeVertexValues (const Eigen::VectorXd &u) const
	Computes the values of the potential reconstruction at the mesh vertices.

	HArDCore2D::VHHOSpace::LocalOperators::LocalOperators (const Eigen::MatrixXd &_gradient, const Eigen::MatrixXd &_symmetric_gradient, const Eigen::MatrixXd &_potential, const Eigen::MatrixXd &_potential_sym, const Eigen::MatrixXd &_stabilisation, const Eigen::MatrixXd &_difference)

	HArDCore2D::VHHOSpace::VHHOSpace (const Mesh &mesh, size_t K, const CellSelection &BoundaryStab, bool use_threads=true, std::ostream &output=std::cout)
	Constructor (with function to select cells in which boundary faces are used in the stabilisation)

	HArDCore2D::VHHOSpace::VHHOSpace (const Mesh &mesh, size_t K, bool use_threads=true, std::ostream &output=std::cout)
	Overloaded constructor when the selection of boundary stabilisation is not entered (all boundary faces are then used)

const Mesh &	HArDCore2D::VHHOSpace::mesh () const
	Return a const reference to the mesh.

const size_t &	HArDCore2D::VHHOSpace::degree () const
	Return the polynomial degree (common face and elements)

const CellSelection &	HArDCore2D::VHHOSpace::boundaryStab () const
	Return the function to select the cells with boundary stabilisation.

Eigen::VectorXd	HArDCore2D::VHHOSpace::interpolate (const FunctionType &q, const int doe_cell=-1, const int doe_face=-1) const
	Interpolator of a continuous function.

Eigen::VectorXd	HArDCore2D::VHHOSpace::local_interpolate (size_t iT, const FunctionType &q, const int doe_cell=-1, const int doe_face=-1) const
	Local Interpolator of a continuous function on the element iT.

Eigen::VectorXd	HArDCore2D::VHHOSpace::components (size_t iT, const FunctionType &q, const int doe=-1) const
	Discrete components of continuous function in [P^k(T)]^d TODO more general function, with as input the basis space.

Eigen::VectorXd	HArDCore2D::VHHOSpace::components (size_t iT, const GradientType &q, const int doe=-1) const
	Discrete components of continuous function in [P^k(T;Symm)]^dxd TODO more general function, with as input the basis space.

const CellBases &	HArDCore2D::VHHOSpace::cellBases (size_t iT) const
	Return cell bases for element iT.

const CellBases &	HArDCore2D::VHHOSpace::cellBases (const Cell &T) const
	Return cell bases for cell T.

const EdgeBases &	HArDCore2D::VHHOSpace::edgeBases (size_t iE) const
	Return edge bases for edge iE.

const EdgeBases &	HArDCore2D::VHHOSpace::edgeBases (const Edge &E) const
	Return cell bases for edge E.

const LocalOperators &	HArDCore2D::VHHOSpace::operators (size_t iT) const
	Return operators for the cell of index iT.

const LocalOperators &	HArDCore2D::VHHOSpace::operators (const Cell &T) const
	Return cell operators for cell T.

std::vector< std::pair< double, double > >	HArDCore2D::VHHOSpace::computeNorms (const std::vector< Eigen::VectorXd > &list_dofs) const
	Computes the discrete L2 (cell unknowns only) and H1 norms of a list of vectors.

std::vector< Eigen::VectorXd >	HArDCore2D::VHHOSpace::computeVertexValues (const Eigen::VectorXd &u) const

Variables
std::unique_ptr< PolyBasisCellType >	HArDCore2D::HHOSpace::CellBases::Polykpo

std::unique_ptr< PolyBasisCellType >	HArDCore2D::HHOSpace::CellBases::Polyk

std::unique_ptr< PolydBasisCellType >	HArDCore2D::HHOSpace::CellBases::Polykd

std::unique_ptr< PolyBasisEdgeType >	HArDCore2D::HHOSpace::EdgeBases::Polyk

Eigen::MatrixXd	HArDCore2D::HHOSpace::LocalOperators::gradient

Eigen::MatrixXd	HArDCore2D::HHOSpace::LocalOperators::potential

Eigen::MatrixXd	HArDCore2D::HHOSpace::LocalOperators::stabilisation

static const CellSelection	HArDCore2D::allcells = [](const Cell &)->bool {return true;}

std::unique_ptr< PolyBasisCellType >	HArDCore2D::VHHOSpace::CellBases::Polykpo

std::unique_ptr< PolyBasisCellType >	HArDCore2D::VHHOSpace::CellBases::Polyk

std::unique_ptr< PolydBasisCellType >	HArDCore2D::VHHOSpace::CellBases::Polykpod

std::unique_ptr< PolydBasisCellType >	HArDCore2D::VHHOSpace::CellBases::Polykd

std::unique_ptr< PolydxdBasisCellType >	HArDCore2D::VHHOSpace::CellBases::Polykdxd

std::unique_ptr< PolySymdxdBasisCellType >	HArDCore2D::VHHOSpace::CellBases::PolySymkdxd

std::unique_ptr< PolyBasisEdgeType >	HArDCore2D::VHHOSpace::EdgeBases::Polyk

std::unique_ptr< PolydBasisEdgeType >	HArDCore2D::VHHOSpace::EdgeBases::Polykd

Eigen::MatrixXd	HArDCore2D::VHHOSpace::LocalOperators::gradient

Eigen::MatrixXd	HArDCore2D::VHHOSpace::LocalOperators::symmetric_gradient

Eigen::MatrixXd	HArDCore2D::VHHOSpace::LocalOperators::potential

Eigen::MatrixXd	HArDCore2D::VHHOSpace::LocalOperators::potential_sym

Eigen::MatrixXd	HArDCore2D::VHHOSpace::LocalOperators::stabilisation

Eigen::MatrixXd	HArDCore2D::VHHOSpace::LocalOperators::difference

Detailed Description

Classes defining the HHO method (scalar and vector-valued)

Typedef Documentation

◆ CellSelection

typedef std::function<bool(const Cell &)> HArDCore2D::CellSelection

◆ FunctionType [1/2]

typedef std::function<double(const VectorRd &)> HArDCore2D::HHOSpace::FunctionType

◆ FunctionType [2/2]

typedef std::function<VectorRd(const VectorRd &)> HArDCore2D::VHHOSpace::FunctionType

◆ GeometricSupport [1/4]

typedef Cell HArDCore2D::HHOSpace::CellBases::GeometricSupport

Geometric support.

◆ GeometricSupport [2/4]

typedef Edge HArDCore2D::HHOSpace::EdgeBases::GeometricSupport

Geometric support.

◆ GeometricSupport [3/4]

typedef Cell HArDCore2D::VHHOSpace::CellBases::GeometricSupport

Geometric support.

◆ GeometricSupport [4/4]

typedef Edge HArDCore2D::VHHOSpace::EdgeBases::GeometricSupport

Geometric support.

◆ GradientType

typedef std::function<MatrixRd(const VectorRd &)> HArDCore2D::VHHOSpace::GradientType

◆ PolyBasisCellType [1/2]

typedef Family<MonomialScalarBasisCell> HArDCore2D::HHOSpace::PolyBasisCellType

◆ PolyBasisCellType [2/2]

typedef Family<MonomialScalarBasisCell> HArDCore2D::VHHOSpace::PolyBasisCellType

◆ PolyBasisEdgeType [1/2]

typedef Family<MonomialScalarBasisEdge> HArDCore2D::HHOSpace::PolyBasisEdgeType

◆ PolyBasisEdgeType [2/2]

typedef Family<MonomialScalarBasisEdge> HArDCore2D::VHHOSpace::PolyBasisEdgeType

◆ PolydBasisCellType [1/2]

typedef TensorizedVectorFamily<PolyBasisCellType, dimspace> HArDCore2D::HHOSpace::PolydBasisCellType

◆ PolydBasisCellType [2/2]

typedef TensorizedVectorFamily<PolyBasisCellType, dimspace> HArDCore2D::VHHOSpace::PolydBasisCellType

◆ PolydBasisEdgeType

typedef Family<TensorizedVectorFamily<PolyBasisEdgeType, dimspace> > HArDCore2D::VHHOSpace::PolydBasisEdgeType

◆ PolydxdBasisCellType

typedef MatrixFamily<PolyBasisCellType, dimspace> HArDCore2D::VHHOSpace::PolydxdBasisCellType

◆ PolySymdxdBasisCellType

typedef Family<PolydxdBasisCellType> HArDCore2D::VHHOSpace::PolySymdxdBasisCellType

Function Documentation

◆ boundaryStab()

const CellSelection & HArDCore2D::VHHOSpace::boundaryStab ( ) const

inline

Return the function to select the cells with boundary stabilisation.

◆ cellBases() [1/4]

const CellBases & HArDCore2D::HHOSpace::cellBases ( const Cell & T ) const

inline

Return cell bases for cell T.

◆ cellBases() [2/4]

const CellBases & HArDCore2D::VHHOSpace::cellBases ( const Cell & T ) const

inline

Return cell bases for cell T.

◆ cellBases() [3/4]

const CellBases & HArDCore2D::HHOSpace::cellBases ( size_t iT ) const

inline

Return cell bases for element iT.

◆ cellBases() [4/4]

const CellBases & HArDCore2D::VHHOSpace::cellBases ( size_t iT ) const

inline

Return cell bases for element iT.

◆ components() [1/2]

Eigen::VectorXd VHHOSpace::components	(	size_t	iT,
		const FunctionType &	q,
		const int	doe = `-1`
	)		const

Discrete components of continuous function in [P^k(T)]^d TODO more general function, with as input the basis space.

Parameters

q	The function to interpolate
doe	The optional degre of cell quadrature rules to compute the interpolate. If negative, then 2*degree()+3 will be used.

◆ components() [2/2]

Eigen::VectorXd VHHOSpace::components	(	size_t	iT,
		const GradientType &	q,
		const int	doe = `-1`
	)		const

Discrete components of continuous function in [P^k(T;Symm)]^dxd TODO more general function, with as input the basis space.

Parameters

q	The function to interpolate
doe	The optional degre of cell quadrature rules to compute the interpolate. If negative, then 2*degree()+3 will be used.

◆ computeNorms() [1/2]

std::vector< std::pair< double, double > > HHOSpace::computeNorms ( const std::vector< Eigen::VectorXd > & list_dofs ) const

Computes the discrete L2 (cell unknowns only) and H1 norms of a list of vectors.

Parameters

list_dofs The list of vectors representing the dofs

◆ computeNorms() [2/2]

std::vector< std::pair< double, double > > VHHOSpace::computeNorms ( const std::vector< Eigen::VectorXd > & list_dofs ) const

Computes the discrete L2 (cell unknowns only) and H1 norms of a list of vectors.

Parameters

list_dofs The list of vectors representing the dofs

◆ computeVertexValues() [1/2]

Eigen::VectorXd HHOSpace::computeVertexValues ( const Eigen::VectorXd & u ) const

Computes the values of the potential reconstruction at the mesh vertices.

Parameters

u	DOFs in the discrete space

◆ computeVertexValues() [2/2]

std::vector< Eigen::VectorXd > VHHOSpace::computeVertexValues ( const Eigen::VectorXd & u ) const

Computes the values of the potential reconstruction at the mesh vertices and stores them in a way that is compatible with vtu_writer

Parameters

u	DOFs in the discrete space

◆ degree() [1/2]

const size_t & HArDCore2D::HHOSpace::degree ( ) const

inline

Return the polynomial degree (common edge and elements)

◆ degree() [2/2]

const size_t & HArDCore2D::VHHOSpace::degree ( ) const

inline

Return the polynomial degree (common face and elements)

◆ edgeBases() [1/4]

const EdgeBases & HArDCore2D::HHOSpace::edgeBases ( const Edge & E ) const

inline

Return cell bases for edge E.

◆ edgeBases() [2/4]

const EdgeBases & HArDCore2D::VHHOSpace::edgeBases ( const Edge & E ) const

inline

Return cell bases for edge E.

◆ edgeBases() [3/4]

const EdgeBases & HArDCore2D::HHOSpace::edgeBases ( size_t iE ) const

inline

Return edge bases for edge iE.

◆ edgeBases() [4/4]

const EdgeBases & HArDCore2D::VHHOSpace::edgeBases ( size_t iE ) const

inline

Return edge bases for edge iE.

◆ HHOSpace()

HHOSpace::HHOSpace	(	const Mesh &	mesh,
		size_t	K,
		bool	use_threads = `true`,
		std::ostream &	output = `std::cout`
	)

Constructor.

◆ interpolate() [1/2]

Eigen::VectorXd HHOSpace::interpolate	(	const FunctionType &	q,
		const int	doe_cell = `-1`,
		const int	doe_edge = `-1`
	)		const

Interpolator of a continuous function.

Parameters

q	The function to interpolate
doe_cell	The optional degre of cell quadrature rules to compute the interpolate. If negative, then 2*degree()+3 will be used.
doe_edge	The optional degre of edge quadrature rules to compute the interpolate. If negative, then 2*degree()+3 will be used.

◆ interpolate() [2/2]

Eigen::VectorXd VHHOSpace::interpolate	(	const FunctionType &	q,
		const int	doe_cell = `-1`,
		const int	doe_face = `-1`
	)		const

Interpolator of a continuous function.

Parameters

q	The function to interpolate
doe_cell	The optional degre of cell quadrature rules to compute the interpolate. If negative, then 2*degree()+3 will be used.
doe_face	The optional degre of face quadrature rules to compute the interpolate. If negative, then 2*degree()+3 will be used.

◆ local_interpolate()

Eigen::VectorXd VHHOSpace::local_interpolate	(	size_t	iT,
		const FunctionType &	q,
		const int	doe_cell = `-1`,
		const int	doe_face = `-1`
	)		const

Local Interpolator of a continuous function on the element iT.

Parameters

iT	The element of the local interpolator
q	The function to interpolate
doe_cell	The optional degre of cell quadrature rules to compute the interpolate. If negative, then 2*degree()+3 will be used.
doe_face	The optional degre of face quadrature rules to compute the interpolate. If negative, then 2*degree()+3 will be used.

◆ LocalOperators() [1/2]

HArDCore2D::HHOSpace::LocalOperators::LocalOperators	(	const Eigen::MatrixXd &	_gradient,
		const Eigen::MatrixXd &	_potential,
		const Eigen::MatrixXd &	_stabilisation
	)

inline

Parameters

_gradient	Gradient operator
_potential	Potential operator
_stabilisation	Stabilisation bilinear form

◆ LocalOperators() [2/2]

HArDCore2D::VHHOSpace::LocalOperators::LocalOperators	(	const Eigen::MatrixXd &	_gradient,
		const Eigen::MatrixXd &	_symmetric_gradient,
		const Eigen::MatrixXd &	_potential,
		const Eigen::MatrixXd &	_potential_sym,
		const Eigen::MatrixXd &	_stabilisation,
		const Eigen::MatrixXd &	_difference
	)

inline

Parameters

_gradient	Gradient operator
_symmetric_gradient	Symmetric Gradient
_potential	HHO Potential operator
_stabilisation	H1 Stabilisation bilinear form associated to the HHO potential

◆ mesh() [1/2]

const Mesh & HArDCore2D::HHOSpace::mesh ( ) const

inline

Return a const reference to the mesh.

◆ mesh() [2/2]

const Mesh & HArDCore2D::VHHOSpace::mesh ( ) const

inline

Return a const reference to the mesh.

◆ operators() [1/4]

const LocalOperators & HArDCore2D::HHOSpace::operators ( const Cell & T ) const

inline

Return cell operators for cell T.

◆ operators() [2/4]

const LocalOperators & HArDCore2D::VHHOSpace::operators ( const Cell & T ) const

inline

Return cell operators for cell T.

◆ operators() [3/4]

const LocalOperators & HArDCore2D::HHOSpace::operators ( size_t iT ) const

inline

Return operators for the cell of index iT.

◆ operators() [4/4]

const LocalOperators & HArDCore2D::VHHOSpace::operators ( size_t iT ) const

inline

Return operators for the cell of index iT.

◆ VHHOSpace() [1/2]

HArDCore2D::VHHOSpace::VHHOSpace	(	const Mesh &	mesh,
		size_t	K,
		bool	use_threads = `true`,
		std::ostream &	output = `std::cout`
	)

inline

Overloaded constructor when the selection of boundary stabilisation is not entered (all boundary faces are then used)

◆ VHHOSpace() [2/2]

VHHOSpace::VHHOSpace	(	const Mesh &	mesh,
		size_t	K,
		const CellSelection &	BoundaryStab,
		bool	use_threads = `true`,
		std::ostream &	output = `std::cout`
	)

Constructor (with function to select cells in which boundary faces are used in the stabilisation)

Variable Documentation

◆ allcells

const CellSelection HArDCore2D::allcells = [](const Cell &)->bool {return true;}

static

◆ difference

Eigen::MatrixXd HArDCore2D::VHHOSpace::LocalOperators::difference

◆ gradient [1/2]

Eigen::MatrixXd HArDCore2D::HHOSpace::LocalOperators::gradient

◆ gradient [2/2]

Eigen::MatrixXd HArDCore2D::VHHOSpace::LocalOperators::gradient

◆ Polyk [1/4]

std::unique_ptr<PolyBasisCellType> HArDCore2D::HHOSpace::CellBases::Polyk

◆ Polyk [2/4]

std::unique_ptr<PolyBasisEdgeType> HArDCore2D::HHOSpace::EdgeBases::Polyk

◆ Polyk [3/4]

std::unique_ptr<PolyBasisCellType> HArDCore2D::VHHOSpace::CellBases::Polyk

◆ Polyk [4/4]

std::unique_ptr<PolyBasisEdgeType> HArDCore2D::VHHOSpace::EdgeBases::Polyk

◆ Polykd [1/3]

std::unique_ptr<PolydBasisCellType> HArDCore2D::HHOSpace::CellBases::Polykd

◆ Polykd [2/3]

std::unique_ptr<PolydBasisCellType> HArDCore2D::VHHOSpace::CellBases::Polykd

◆ Polykd [3/3]

std::unique_ptr<PolydBasisEdgeType> HArDCore2D::VHHOSpace::EdgeBases::Polykd

◆ Polykdxd

std::unique_ptr<PolydxdBasisCellType> HArDCore2D::VHHOSpace::CellBases::Polykdxd

◆ Polykpo [1/2]

std::unique_ptr<PolyBasisCellType> HArDCore2D::HHOSpace::CellBases::Polykpo

◆ Polykpo [2/2]

std::unique_ptr<PolyBasisCellType> HArDCore2D::VHHOSpace::CellBases::Polykpo

◆ Polykpod

std::unique_ptr<PolydBasisCellType> HArDCore2D::VHHOSpace::CellBases::Polykpod

◆ PolySymkdxd

std::unique_ptr<PolySymdxdBasisCellType> HArDCore2D::VHHOSpace::CellBases::PolySymkdxd

◆ potential [1/2]

Eigen::MatrixXd HArDCore2D::HHOSpace::LocalOperators::potential

◆ potential [2/2]

Eigen::MatrixXd HArDCore2D::VHHOSpace::LocalOperators::potential

◆ potential_sym

Eigen::MatrixXd HArDCore2D::VHHOSpace::LocalOperators::potential_sym

◆ stabilisation [1/2]

Eigen::MatrixXd HArDCore2D::HHOSpace::LocalOperators::stabilisation

◆ stabilisation [2/2]

Eigen::MatrixXd HArDCore2D::VHHOSpace::LocalOperators::stabilisation

◆ symmetric_gradient

Eigen::MatrixXd HArDCore2D::VHHOSpace::LocalOperators::symmetric_gradient

Classes

Typedefs

Functions

Variables

Detailed Description

Typedef Documentation

◆ CellSelection

◆ FunctionType [1/2]

◆ FunctionType [2/2]

◆ GeometricSupport [1/4]

◆ GeometricSupport [2/4]

◆ GeometricSupport [3/4]

◆ GeometricSupport [4/4]

◆ GradientType

◆ PolyBasisCellType [1/2]

◆ PolyBasisCellType [2/2]

◆ PolyBasisEdgeType [1/2]

◆ PolyBasisEdgeType [2/2]

◆ PolydBasisCellType [1/2]

◆ PolydBasisCellType [2/2]

◆ PolydBasisEdgeType

◆ PolydxdBasisCellType

◆ PolySymdxdBasisCellType

Function Documentation

◆ boundaryStab()

◆ cellBases() [1/4]

◆ cellBases() [2/4]

◆ cellBases() [3/4]

◆ cellBases() [4/4]

◆ components() [1/2]

◆ components() [2/2]

◆ computeNorms() [1/2]

◆ computeNorms() [2/2]

◆ computeVertexValues() [1/2]

◆ computeVertexValues() [2/2]

◆ degree() [1/2]

◆ degree() [2/2]

◆ edgeBases() [1/4]

◆ edgeBases() [2/4]

◆ edgeBases() [3/4]

◆ edgeBases() [4/4]

◆ HHOSpace()

◆ interpolate() [1/2]

◆ interpolate() [2/2]

◆ local_interpolate()

◆ LocalOperators() [1/2]

◆ LocalOperators() [2/2]

◆ mesh() [1/2]

◆ mesh() [2/2]

◆ operators() [1/4]

◆ operators() [2/4]

◆ operators() [3/4]

◆ operators() [4/4]

◆ VHHOSpace() [1/2]

◆ VHHOSpace() [2/2]

Variable Documentation

◆ allcells

◆ difference

◆ gradient [1/2]

◆ gradient [2/2]

◆ Polyk [1/4]

◆ Polyk [2/4]

◆ Polyk [3/4]

◆ Polyk [4/4]

◆ Polykd [1/3]

◆ Polykd [2/3]

◆ Polykd [3/3]

◆ Polykdxd

◆ Polykpo [1/2]

◆ Polykpo [2/2]

◆ Polykpod

◆ PolySymkdxd

◆ potential [1/2]

◆ potential [2/2]

◆ potential_sym

◆ stabilisation [1/2]

◆ stabilisation [2/2]

◆ symmetric_gradient