Basis for the space of curls of polynomials. 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 BasisType::GeometricSupport	GeometricSupport

typedef BasisType	AncestorType

Public Member Functions
	CurlBasis (const BasisType &basis)
	Constructor.

size_t	dimension () const
	Compute the dimension of the basis.

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

constexpr const BasisType &	ancestor () const
	Return the ancestor (basis that the gradient was taken of)

Static Public Attributes
static constexpr const TensorRankE	tensorRank = Vector

static constexpr const bool	hasAncestor = true

static const bool	hasFunction = true

static const bool	hasGradient = false

static const bool	hasCurl = false

static const bool	hasDivergence = false

static const bool	hasHessian = false

static const bool	hasCurlCurl = false

Detailed Description

template<typename BasisType>
class HArDCore3D::CurlBasis< BasisType >

Basis for the space of curls of polynomials.

To construct a basis of R^k, assumes that the vector basis from which it is constructed is a basis for G^{k+1,c} (in 3D) or P^{k+1}/P^0 (in 2D). This can also be used to create a family of curl (not necessarily linearly independent)

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

src/Common/basis.hpp

Public Types

Public Member Functions

Static Public Attributes

Detailed Description