Scalar monomial basis on a face. More...

#include <basis.hpp>

Public Types
typedef double	FunctionValue

typedef VectorRd	GradientValue

typedef VectorRd	CurlValue

typedef double	DivergenceValue

typedef MatrixRd	HessianValue

typedef Face	GeometricSupport

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

Public Member Functions
	MonomialScalarBasisFace (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.

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

CurlValue	curl (size_t i, const VectorRd &x) const
	Evaluate the two-dimensional curl of the i-th basis function at point x.

HessianValue	hessian (size_t i, const VectorRd &x) const
	Evaluate the Hessian of the i-th basis function at point x.

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

const VectorRd &	normal () const
	Return the normal to the face used in the computation of the curl.

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

const JacobianType	coordinates_system () const
	Return the system of coordinates (basis in rows) on the face.

Eigen::Vector2i	powers (size_t i) const
	Returns the powers of the i-th basis function (its degree can be found using powers(i).sum())

Static Public Attributes
static constexpr const TensorRankE	tensorRank = Scalar

static constexpr const bool	hasAncestor = false

static const bool	hasFunction = true

static const bool	hasGradient = true

static const bool	hasCurl = true

static const bool	hasDivergence = false

static const bool	hasHessian = true

static const bool	hasCurlCurl = false

Detailed Description

Scalar monomial basis on a face.

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

Public Types