template<typename _Scalar>
class Vitelotte::FVElement< _Scalar >
Provides method to evaluate FV elements and their derivatives.
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typedef _Scalar | Scalar |
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typedef LinearElement< Scalar > | Base |
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typedef Eigen::Matrix< Scalar, 2, 1 > | Vector |
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typedef Eigen::Matrix< Scalar, 9, 1 > | Values |
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typedef Eigen::Matrix< Scalar, 9, 2 > | Jacobian |
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typedef Eigen::Matrix< Scalar, 2, 2 > | Hessian |
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typedef Eigen::Matrix< Scalar, 3, 1 > | BarycentricCoord |
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template<typename It > |
| FVElement (It pointIt) |
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template<typename Derived0 , typename Derived1 , typename Derived2 > |
| FVElement (const Eigen::MatrixBase< Derived0 > &p0, const Eigen::MatrixBase< Derived1 > &p1, const Eigen::MatrixBase< Derived2 > &p2) |
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const Matrix3 & | dldn () const |
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Scalar | dldn (unsigned li, unsigned ni) const |
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Values | eval (const BarycentricCoord &bc) const |
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Scalar | eval (unsigned bi, const BarycentricCoord &bc) const |
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Jacobian | jacobian (const BarycentricCoord &bc) const |
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Vector | gradient (unsigned bi, const BarycentricCoord &bc) const |
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void | hessian (const BarycentricCoord &bc, Hessian *h) const |
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Hessian | hessian (unsigned bi, const BarycentricCoord &bc) const |
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Scalar | _gradientFactor (unsigned bi) const |
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Scalar | _vertexGradientFactor (unsigned bi, unsigned ei) const |
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Scalar | _bubble (const BarycentricCoord &bc) const |
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Vector | _bubbleGradient (const BarycentricCoord &bc) const |
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Hessian | _bubbleHessian (const BarycentricCoord &bc) const |
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Scalar | _vertexSubExpr (unsigned i, const BarycentricCoord &bc) const |
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Vector | _vertexSubExprGradient (unsigned i, const BarycentricCoord &bc) const |
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Hessian | _vertexSubExprHessian (unsigned i, const BarycentricCoord &bc) const |
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Scalar | _edgeSubExpr (unsigned i, const BarycentricCoord &bc) const |
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Vector | _edgeSubExprGradient (unsigned i, const BarycentricCoord &bc) const |
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Hessian | _edgeSubExprHessian (unsigned i, const BarycentricCoord &) const |
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Scalar | _gradientSubExpr (unsigned i, const BarycentricCoord &bc) const |
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Vector | _gradientSubExprGradient (unsigned i, const BarycentricCoord &bc) const |
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Hessian | _gradientSubExprHessian (unsigned i, const BarycentricCoord &bc) const |
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typedef Eigen::Matrix< Scalar, 3, 1 > | Vector3 |
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typedef Eigen::Matrix< Scalar, 3, 3 > | Matrix3 |
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typedef Eigen::Matrix< Scalar, 2, 3 > | Matrix2x3 |
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typedef Eigen::Matrix< Scalar, 3, 1 > | Vector3 |
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typedef Eigen::Matrix< Scalar, 2, 2 > | Matrix2 |
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typedef Eigen::Matrix< Scalar, 3, 3 > | Matrix3 |
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typedef Eigen::Matrix< Scalar, 3, 2 > | Matrix3x2 |
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typedef Eigen::Matrix< Scalar, 2, 3 > | Matrix2x3 |
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typedef _Scalar | Scalar |
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typedef Eigen::Matrix< Scalar, 2, 1 > | Vector |
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typedef Eigen::Matrix< Scalar, 3, 1 > | Values |
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typedef Eigen::Matrix< Scalar, 3, 2 > | Jacobian |
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typedef Eigen::Matrix< Scalar, 2, 2 > | Hessian |
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typedef Eigen::Matrix< Scalar, 3, 1 > | BarycentricCoord |
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void | computeFromPoints () |
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template<typename Derived0 , typename Derived1 , typename Derived2 > |
void | computeFromPoints (const Eigen::MatrixBase< Derived0 > &p0, const Eigen::MatrixBase< Derived1 > &p1, const Eigen::MatrixBase< Derived2 > &p2) |
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template<typename It > |
| LinearElement (It pointIt) |
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template<typename Derived0 , typename Derived1 , typename Derived2 > |
| LinearElement (const Eigen::MatrixBase< Derived0 > &p0, const Eigen::MatrixBase< Derived1 > &p1, const Eigen::MatrixBase< Derived2 > &p2) |
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Vector | projPoint (unsigned pi, unsigned offset=0) const |
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Scalar | edgeLength (unsigned ei, unsigned offset=0) const |
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Scalar | doubleArea () const |
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BarycentricCoord | bcProj (const Vector &p) const |
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Values | eval (const BarycentricCoord &bc) const |
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Scalar | eval (unsigned bi, const BarycentricCoord &bc) const |
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const Eigen::Block< const
Matrix3, 3, 2 > | jacobian (const BarycentricCoord &=BarycentricCoord()) const |
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const Vector | gradient (unsigned bi, const BarycentricCoord &=BarycentricCoord()) const |
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