Basis for the complement R^{c,k}(F) in P^k(F)^2 of the range of the vectorial rotational on a face. More...

#include <basis.hpp>

Public Types
typedef VectorRd	FunctionValue

typedef Eigen::Matrix< double, dimspace, dimspace >	GradientValue

typedef Eigen::Matrix< double, dimspace, dimspace >	CurlValue

typedef double	DivergenceValue

typedef Eigen::Matrix< double, dimspace, dimspace *dimspace >	HessianValue

typedef Face	GeometricSupport

typedef Eigen::Matrix< double, 2, dimspace >	JacobianType

Public Member Functions
	RolyComplBasisFace (const Face &F, size_t degree)
	Constructor.

size_t	dimension () const
	Dimension of the basis.

FunctionValue	function (size_t i, const VectorRd &x) const
	Evaluate the i-th basis function at point x.

DivergenceValue	divergence (size_t i, const VectorRd &x) const
	Evaluate the divergence of the i-th basis function at point x.

const JacobianType &	jacobian () const
	Return the Jacobian of the coordinate system transformation.

size_t	max_degree () const
	Returns the maximum degree of the basis functions.

Eigen::Vector2i	powers (size_t i) const
	Returns the powers of the i-th basis function.

Static Public Attributes
static constexpr const TensorRankE	tensorRank = Vector

static constexpr const bool	hasAncestor = false

static const bool	hasFunction = true

static const bool	hasGradient = false

static const bool	hasCurl = false

static const bool	hasDivergence = true

static const bool	hasHessian = false

static const bool	hasCurlCurl = false

Detailed Description

Basis for the complement R^{c,k}(F) in P^k(F)^2 of the range of the vectorial rotational on a face.

The documentation for this class was generated from the following files:

Public Types