Inherits Vitelotte::LinearElement< _Scalar >.

Detailed Description

template<typename _Scalar>
class Vitelotte::FVElement< _Scalar >

Provides method to evaluate FV elements and their derivatives.

Public Types
typedef _Scalar	Scalar

typedef LinearElement< Scalar >	Base

typedef Eigen::Matrix< Scalar, 2, 1 >	Vector

typedef Eigen::Matrix< Scalar, 9, 1 >	Values

typedef Eigen::Matrix< Scalar, 9, 2 >	Jacobian

typedef Eigen::Matrix< Scalar, 2, 2 >	Hessian

typedef Eigen::Matrix< Scalar, 3, 1 >	BarycentricCoord

Public Member Functions
template<typename It >
	FVElement (It pointIt)

template<typename Derived0 , typename Derived1 , typename Derived2 >
	FVElement (const Eigen::MatrixBase< Derived0 > &p0, const Eigen::MatrixBase< Derived1 > &p1, const Eigen::MatrixBase< Derived2 > &p2)

const Matrix3 &	dldn () const

Scalar	dldn (unsigned li, unsigned ni) const

Values	eval (const BarycentricCoord &bc) const

Scalar	eval (unsigned bi, const BarycentricCoord &bc) const

Jacobian	jacobian (const BarycentricCoord &bc) const

Vector	gradient (unsigned bi, const BarycentricCoord &bc) const

void	hessian (const BarycentricCoord &bc, Hessian *h) const

Hessian	hessian (unsigned bi, const BarycentricCoord &bc) const

Scalar	_gradientFactor (unsigned bi) const

Scalar	_vertexGradientFactor (unsigned bi, unsigned ei) const

Scalar	_bubble (const BarycentricCoord &bc) const

Vector	_bubbleGradient (const BarycentricCoord &bc) const

Hessian	_bubbleHessian (const BarycentricCoord &bc) const

Scalar	_vertexSubExpr (unsigned i, const BarycentricCoord &bc) const

Vector	_vertexSubExprGradient (unsigned i, const BarycentricCoord &bc) const

Hessian	_vertexSubExprHessian (unsigned i, const BarycentricCoord &bc) const

Scalar	_edgeSubExpr (unsigned i, const BarycentricCoord &bc) const

Vector	_edgeSubExprGradient (unsigned i, const BarycentricCoord &bc) const

Hessian	_edgeSubExprHessian (unsigned i, const BarycentricCoord &) const

Scalar	_gradientSubExpr (unsigned i, const BarycentricCoord &bc) const

Vector	_gradientSubExprGradient (unsigned i, const BarycentricCoord &bc) const

Hessian	_gradientSubExprHessian (unsigned i, const BarycentricCoord &bc) const

Protected Types
typedef Eigen::Matrix< Scalar, 3, 1 >	Vector3

typedef Eigen::Matrix< Scalar, 3, 3 >	Matrix3

typedef Eigen::Matrix< Scalar, 2, 3 >	Matrix2x3

Protected Types inherited from Vitelotte::LinearElement< _Scalar >
typedef Eigen::Matrix< Scalar, 3, 1 >	Vector3

typedef Eigen::Matrix< Scalar, 2, 2 >	Matrix2

typedef Eigen::Matrix< Scalar, 3, 3 >	Matrix3

typedef Eigen::Matrix< Scalar, 3, 2 >	Matrix3x2

typedef Eigen::Matrix< Scalar, 2, 3 >	Matrix2x3

typedef _Scalar	Scalar

typedef Eigen::Matrix< Scalar, 2, 1 >	Vector

typedef Eigen::Matrix< Scalar, 3, 1 >	Values

typedef Eigen::Matrix< Scalar, 3, 2 >	Jacobian

typedef Eigen::Matrix< Scalar, 2, 2 >	Hessian

typedef Eigen::Matrix< Scalar, 3, 1 >	BarycentricCoord

Protected Member Functions
void	computeFromPoints ()

Protected Member Functions inherited from Vitelotte::LinearElement< _Scalar >
template<typename Derived0 , typename Derived1 , typename Derived2 >
void	computeFromPoints (const Eigen::MatrixBase< Derived0 > &p0, const Eigen::MatrixBase< Derived1 > &p1, const Eigen::MatrixBase< Derived2 > &p2)

template<typename It >
	LinearElement (It pointIt)

template<typename Derived0 , typename Derived1 , typename Derived2 >
	LinearElement (const Eigen::MatrixBase< Derived0 > &p0, const Eigen::MatrixBase< Derived1 > &p1, const Eigen::MatrixBase< Derived2 > &p2)

Vector	projPoint (unsigned pi, unsigned offset=0) const

Scalar	edgeLength (unsigned ei, unsigned offset=0) const

Scalar	doubleArea () const

BarycentricCoord	bcProj (const Vector &p) const

Values	eval (const BarycentricCoord &bc) const

Scalar	eval (unsigned bi, const BarycentricCoord &bc) const

const Eigen::Block< const Matrix3, 3, 2 >	jacobian (const BarycentricCoord &=BarycentricCoord()) const

const Vector	gradient (unsigned bi, const BarycentricCoord &=BarycentricCoord()) const

Protected Attributes
Matrix3	m_dldn

Protected Attributes inherited from Vitelotte::LinearElement< _Scalar >
Vector	m_p2

Vector3	m_eLen

Scalar	m_2delta

Matrix3	m_lbf

Detailed Description

template<typename _Scalar> class Vitelotte::FVElement< _Scalar >

Public Types

Public Member Functions

Protected Types

Protected Member Functions

Protected Attributes

template<typename _Scalar>
class Vitelotte::FVElement< _Scalar >