Class representing a general abstraction for finite element interpolation class. More...

#include <feinterpol.h>

Inheritance diagram for oofem::FEInterpolation:

Public Member Functions
	FEInterpolation (int o)

virtual	~FEInterpolation ()

virtual IRResultType	initializeFrom (InputRecord *ir)
	Initializes receiver according to object description stored in input record. More...

virtual int	giveNumberOfNodes () const
	Returns the number of geometric nodes of the receiver. More...

std::string	errorInfo (const char *func) const


virtual integrationDomain	giveIntegrationDomain () const =0
	Returns the integration domain of the interpolator. More...

virtual Element_Geometry_Type	giveGeometryType () const =0
	Returns the geometry type fo the interpolator. More...

int	giveInterpolationOrder ()
	Returns the interpolation order. More...

virtual void	evalN (FloatArray &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo)=0
	Evaluates the array of interpolation functions (shape functions) at given point. More...

virtual double	evaldNdx (FloatMatrix &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo)=0
	Evaluates the matrix of derivatives of interpolation functions (shape functions) at given point. More...

virtual void	evald2Ndx2 (FloatMatrix &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo)
	Evaluates the matrix of second derivatives of interpolation functions (shape functions) at given point. More...

virtual void	evaldNdxi (FloatMatrix &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo)
	Evaluates the matrix of derivatives of interpolation functions (shape functions) at given point. More...

virtual void	giveLocalNodeCoords (FloatMatrix &answer)
	Returns a matrix containing the local coordinates for each node corresponding to the interpolation. More...

virtual void	local2global (FloatArray &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo)=0
	Evaluates global coordinates from given local ones. More...

virtual int	global2local (FloatArray &answer, const FloatArray &gcoords, const FEICellGeometry &cellgeo)=0
	Evaluates local coordinates from given global ones. More...

virtual double	giveTransformationJacobian (const FloatArray &lcoords, const FEICellGeometry &cellgeo)
	Evaluates the determinant of the transformation. More...

virtual void	giveJacobianMatrixAt (FloatMatrix &jacobianMatrix, const FloatArray &lcoords, const FEICellGeometry &cellgeo)
	Gives the jacobian matrix at the local coordinates. More...

virtual IntegrationRule *	giveIntegrationRule (int order)
	Sets up a suitable integration rule for numerical integrating over volume. More...

Edge boundary functions.
Provide interpolation services for boundary edges (entity of dimension 1)
virtual void	boundaryEdgeEvalN (FloatArray &answer, int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo)=0
	Evaluates the basis functions on the requested boundary. More...

virtual double	boundaryEdgeGiveTransformationJacobian (int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo)=0
	Evaluates the determinant of the transformation Jacobian on the requested boundary. More...

virtual void	boundaryEdgeLocal2Global (FloatArray &answer, int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo)=0
	Maps the local boundary coordinates to global. More...

virtual integrationDomain	giveBoundaryEdgeIntegrationDomain (int boundary) const =0
	Returns boundary integration domain. More...

virtual IntegrationRule *	giveBoundaryEdgeIntegrationRule (int order, int boundary)
	Sets up a suitable integration rule for integrating over the requested boundary. More...

virtual void	boundaryEdgeGiveNodes (IntArray &answer, int boundary)=0
	Gives the boundary nodes for requested boundary number. More...

Surface interpolation services
Provide interpolation services for boundary edges (entities of dimension 2)
virtual void	boundarySurfaceEvalN (FloatArray &answer, int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo)=0
	Evaluates the array of edge interpolation functions (shape functions) at given point. More...

virtual void	boundarySurfaceEvaldNdx (FloatMatrix &answer, int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo)=0
	Evaluates the matrix of derivatives of edge interpolation functions (shape functions) at given point. More...

virtual double	boundarySurfaceEvalNormal (FloatArray &answer, int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo)=0
	Evaluates the normal out of the surface at given point. More...

virtual void	boundarySurfaceLocal2global (FloatArray &answer, int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo)=0
	Evaluates edge global coordinates from given local ones. More...

virtual double	boundarySurfaceGiveTransformationJacobian (int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo)=0
	Evaluates the edge jacobian of transformation between local and global coordinates. More...

virtual integrationDomain	giveBoundarySurfaceIntegrationDomain (int boundary) const =0
	Returns boundary integration domain. More...

virtual IntegrationRule *	giveBoundarySurfaceIntegrationRule (int order, int boundary)
	Sets up a suitable integration rule for integrating over the requested boundary. More...

virtual void	boundarySurfaceGiveNodes (IntArray &answer, int boundary)=0
	Gives the boundary nodes for requested boundary number. More...

General boundary interpolation functions.
Provide interpolation servises for boundary entities with one dimension lower than the receiver interpolation. Typically these are mapped to boundaryEdge and boundarySurface methods depending on dimension.
virtual void	boundaryGiveNodes (IntArray &answer, int boundary)=0
	Gives the boundary nodes for requested boundary number. More...

virtual void	boundaryEvalN (FloatArray &answer, int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo)=0
	Evaluates the basis functions on the requested boundary. More...

virtual double	boundaryEvalNormal (FloatArray &answer, int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo)=0
	Evaluates the normal on the requested boundary. More...

virtual double	boundaryGiveTransformationJacobian (int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo)=0
	Evaluates the determinant of the transformation Jacobian on the requested boundary. More...

virtual void	boundaryLocal2Global (FloatArray &answer, int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo)=0
	Maps the local boundary coordinates to global. More...

virtual double	evalNXIntegral (int boundary, const FEICellGeometry &cellgeo)
	Computes the integral $\int_S n \cdot x \mathrm{d}s$ . More...

virtual integrationDomain	giveBoundaryIntegrationDomain (int boundary) const =0
	Returns boundary integration domain. More...

virtual IntegrationRule *	giveBoundaryIntegrationRule (int order, int boundary)
	Sets up a suitable integration rule for integrating over the requested boundary. More...

Methods to support interpolation defined on patch by patch basis.
virtual int	giveKnotSpanBasisFuncMask (const IntArray &knotSpan, IntArray &mask)
	Returns indices (zero based) of nonzero basis functions for given knot span. More...

virtual int	giveNumberOfKnotSpanBasisFunctions (const IntArray &knotSpan)
	Returns the number of nonzero basis functions at individual knot span,. More...

virtual bool	hasSubPatchFormulation ()
	Returns true, if receiver is formulated on sub-patch basis. More...

virtual const double const	giveKnotVector ()
	Returns the subdivision of patch parametric space. More...

virtual int	giveNumberOfKnotSpans (int dim)
	Returns the number of knot spans of the receiver. More...

virtual const FloatArray *	giveKnotValues (int dim)
	Returns the knot values of the receiver. More...

virtual const IntArray *	giveKnotMultiplicity (int dim)
	Returns the knot multiplicity of the receiver. More...

virtual int	giveNsd ()=0
	Returns number of spatial dimensions. More...

virtual int	giveNumberOfEdges () const
	Returns number of edges. More...

Protected Attributes
int	order

Detailed Description

Class representing a general abstraction for finite element interpolation class.

The boundary functions denote the (numbered) region that have 1 spatial dimension (i.e. edges) or 2 spatial dimensions.

Definition at line 132 of file feinterpol.h.

Constructor & Destructor Documentation

oofem::FEInterpolation::FEInterpolation ( int o )

inline

Definition at line 138 of file feinterpol.h.

virtual oofem::FEInterpolation::~FEInterpolation ( )

inlinevirtual

Definition at line 141 of file feinterpol.h.

Member Function Documentation

virtual void oofem::FEInterpolation::boundaryEdgeEvalN	(	FloatArray &	answer,
		int	boundary,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo
	)

pure virtual

Evaluates the basis functions on the requested boundary.

Only basis functions that are nonzero anywhere on the boundary are given. Ordering can be obtained from giveBoundaryNodes. Boundaries are defined as the corner nodes for 1D geometries, edges for 2D geometries and surfaces for 3D geometries.

Parameters

answer	Basis functions Array to be filled with the boundary nodes.
boundary	Boundary number.
lcoords	The local coordinates (on the boundary local coordinate system).
cellgeo	Underlying cell geometry.

Todo:

Implemented in oofem::BSplineInterpolation, oofem::FEInterpolation2d, oofem::FEI1dLin, oofem::FEI1dQuad, and oofem::FEInterpolation3d.

Referenced by oofem::TransportElement::computeBoundaryEdgeLoadVector(), oofem::MITC4Shell::computeEdgeNMatrix(), and oofem::StructuralElement::computeEdgeNMatrix().

virtual void oofem::FEInterpolation::boundaryEdgeGiveNodes	(	IntArray &	answer,
		int	boundary
	)

pure virtual

Gives the boundary nodes for requested boundary number.

Parameters

answer	Array to be filled with the boundary nodes.
boundary	Boundary number.

Implemented in oofem::BSplineInterpolation, oofem::FEInterpolation2d, oofem::FEI2dLineLin, oofem::FEI1dLin, oofem::FEI1dQuad, and oofem::FEInterpolation3d.

Referenced by oofem::TransportElement::computeBoundaryEdgeLoadVector(), oofem::TransportElement::computeTangentFromEdgeLoad(), oofem::Element::giveBoundaryEdgeNodes(), and oofem::Set::giveNodeList().

virtual double oofem::FEInterpolation::boundaryEdgeGiveTransformationJacobian	(	int	boundary,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo
	)

pure virtual

Evaluates the determinant of the transformation Jacobian on the requested boundary.

Boundaries are defined as the corner nodes for 1D geometries, edges for 2D geometries and surfaces for 3D geometries.

Parameters

boundary	Boundary number.
lcoords	The local coordinates (on the boundary local coordinate system).
cellgeo	Underlying cell geometry.

Returns: The determinant of the boundary transformation Jacobian.

Implemented in oofem::BSplineInterpolation, oofem::FEI2dQuadQuadAxi, oofem::FEI2dQuadLinAxi, oofem::FEI2dTrLinAxi, oofem::FEInterpolation2d, oofem::FEI1dLin, oofem::FEI1dQuad, and oofem::FEInterpolation3d.

Referenced by oofem::StructuralElement::computeEdgeVolumeAround().

virtual void oofem::FEInterpolation::boundaryEdgeLocal2Global	(	FloatArray &	answer,
		int	boundary,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo
	)

pure virtual

Maps the local boundary coordinates to global.

Boundaries are defined as the corner nodes for 1D geometries, edges for 2D geometries and surfaces for 3D geometries.

Parameters

answer	Global coordinates.
boundary	Boundary number.
lcoords	The local coordinates (on the boundary local coordinate system).
cellgeo	Underlying cell geometry.

Implemented in oofem::BSplineInterpolation, oofem::FEInterpolation2d, oofem::FEI1dLin, oofem::FEI1dQuad, and oofem::FEInterpolation3d.

Referenced by oofem::TrPlanestressRotAllman::computeBoundaryEdgeLoadVector(), oofem::StructuralElement::computeBoundaryEdgeLoadVector(), and oofem::TransportElement::computeEdgeBCSubVectorAt().

virtual void oofem::FEInterpolation::boundaryEvalN	(	FloatArray &	answer,
		int	boundary,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo
	)

pure virtual

Evaluates the basis functions on the requested boundary.

Only basis functions that are nonzero anywhere on the boundary are given. Ordering can be obtained from giveBoundaryNodes. Boundaries are defined as the corner nodes for 1D geometries, edges for 2D geometries and surfaces for 3D geometries.

Parameters

answer	Basis functions Array to be filled with the boundary nodes.
boundary	Boundary number.
lcoords	The local coordinates (on the boundary local coordinate system).
cellgeo	Underlying cell geometry.

Implemented in oofem::BSplineInterpolation, oofem::FEInterpolation2d, oofem::FEInterpolation3d, and oofem::FEInterpolation1d.

Referenced by oofem::PrescribedMean::assemble(), oofem::WeakPeriodicBoundaryCondition::assemble(), oofem::TransportElement::computeBoundarySurfaceLoadVector(), oofem::tet21ghostsolid::computeBoundarySurfaceLoadVector(), oofem::SolutionbasedShapeFunction::computeCorrectionFactors(), oofem::PFEMElement2d::computeEdgeNMatrixAt(), oofem::PFEMElement2d::computeEgdeNVectorAt(), oofem::WeakPeriodicBoundaryCondition::computeElementTangent(), oofem::SurfaceTensionBoundaryCondition::computeLoadVectorFromElement(), oofem::TransportElement::computeTangentFromEdgeLoad(), oofem::SurfaceTensionBoundaryCondition::computeTangentFromElement(), oofem::TransportElement::computeTangentFromSurfaceLoad(), oofem::PrescribedMean::giveInternalForcesVector(), oofem::WeakPeriodicBoundaryCondition::giveInternalForcesVector(), oofem::MixedGradientPressureNeumann::integrateDevTangent(), oofem::PrescribedGradientBCNeumann::integrateTangent(), oofem::TransportGradientNeumann::integrateTangent(), oofem::MixedGradientPressureWeakPeriodic::integrateTractionVelocityTangent(), and oofem::MixedGradientPressureNeumann::integrateVolTangent().

virtual double oofem::FEInterpolation::boundaryEvalNormal	(	FloatArray &	answer,
		int	boundary,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo
	)

pure virtual

Evaluates the normal on the requested boundary.

Parameters

answer	The evaluated normal.
boundary	Boundary number.
lcoords	The local coordinates (on the boundary local coordinate system).
cellgeo	Underlying cell geometry.

Returns: The boundary transformation Jacobian.

Implemented in oofem::BSplineInterpolation, oofem::FEInterpolation2d, oofem::FEInterpolation3d, and oofem::FEInterpolation1d.

Referenced by oofem::SolutionbasedShapeFunction::computeCorrectionFactors(), oofem::TransportGradientNeumann::computeEta(), oofem::SurfaceTensionBoundaryCondition::computeLoadVectorFromElement(), oofem::NeumannMomentLoad::computeNormal(), oofem::PFEMElement2d::computePrescribedRhsVector(), oofem::MixedGradientPressureWeakPeriodic::computeStress(), oofem::SurfaceTensionBoundaryCondition::computeTangentFromElement(), oofem::NeumannMomentLoad::computeValueAtBoundary(), oofem::WeakPeriodicBoundaryCondition::giveEdgeNormal(), oofem::SolutionbasedShapeFunction::initializeSurfaceData(), oofem::MixedGradientPressureNeumann::integrateDevTangent(), oofem::PrescribedGradientBCNeumann::integrateTangent(), oofem::TransportGradientNeumann::integrateTangent(), oofem::MixedGradientPressureWeakPeriodic::integrateTractionDev(), oofem::MixedGradientPressureWeakPeriodic::integrateTractionVelocityTangent(), oofem::MixedGradientPressureWeakPeriodic::integrateTractionXTangent(), and oofem::MixedGradientPressureNeumann::integrateVolTangent().

virtual void oofem::FEInterpolation::boundaryGiveNodes	(	IntArray &	answer,
		int	boundary
	)

pure virtual

Gives the boundary nodes for requested boundary number.

Boundaries are defined as the corner nodes for 1D geometries, edges for 2D geometries and surfaces for 3D geometries.

Parameters

answer	Array to be filled with the boundary nodes.
boundary	Boundary number.

Implemented in oofem::BSplineInterpolation, oofem::FEInterpolation2d, oofem::FEInterpolation3d, and oofem::FEInterpolation1d.

virtual double oofem::FEInterpolation::boundaryGiveTransformationJacobian	(	int	boundary,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo
	)

pure virtual

Evaluates the determinant of the transformation Jacobian on the requested boundary.

Boundaries are defined as the corner nodes for 1D geometries, edges for 2D geometries and surfaces for 3D geometries.

Parameters

boundary	Boundary number.
lcoords	The local coordinates (on the boundary local coordinate system).
cellgeo	Underlying cell geometry.

Returns: The determinant of the boundary transformation Jacobian.

Implemented in oofem::BSplineInterpolation, oofem::FEI2dQuadQuadAxi, oofem::FEI2dQuadLinAxi, oofem::FEI2dTrLinAxi, oofem::FEInterpolation2d, oofem::FEInterpolation3d, and oofem::FEInterpolation1d.

Referenced by oofem::PrescribedMean::assemble(), oofem::WeakPeriodicBoundaryCondition::assemble(), oofem::TransportElement::computeBoundarySurfaceLoadVector(), oofem::tet21ghostsolid::computeBoundarySurfaceLoadVector(), oofem::SolutionbasedShapeFunction::computeCorrectionFactors(), oofem::PrescribedMean::computeDomainSize(), oofem::PFEMElement2d::computeEdgeVolumeAround(), oofem::WeakPeriodicBoundaryCondition::computeElementTangent(), oofem::SurfaceTensionBoundaryCondition::computeLoadVectorFromElement(), oofem::WeakPeriodicBoundaryCondition::computeProjectionCoefficient(), oofem::TransportElement::computeTangentFromEdgeLoad(), oofem::SurfaceTensionBoundaryCondition::computeTangentFromElement(), oofem::TransportElement::computeTangentFromSurfaceLoad(), oofem::WeakPeriodicBoundaryCondition::giveExternalForcesVector(), oofem::PrescribedMean::giveInternalForcesVector(), and oofem::WeakPeriodicBoundaryCondition::giveInternalForcesVector().

virtual void oofem::FEInterpolation::boundaryLocal2Global	(	FloatArray &	answer,
		int	boundary,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo
	)

pure virtual

Maps the local boundary coordinates to global.

Boundaries are defined as the corner nodes for 1D geometries, edges for 2D geometries and surfaces for 3D geometries.

Parameters

answer	Global coordinates.
boundary	Boundary number.
lcoords	The local coordinates (on the boundary local coordinate system).
cellgeo	Underlying cell geometry.

Implemented in oofem::BSplineInterpolation, oofem::FEInterpolation2d, oofem::FEInterpolation3d, and oofem::FEInterpolation1d.

Referenced by oofem::WeakPeriodicBoundaryCondition::assemble(), oofem::TransportElement::computeBoundaryEdgeLoadVector(), oofem::TransportElement::computeBoundarySurfaceLoadVector(), oofem::StructuralElement::computeBoundarySurfaceLoadVector(), oofem::SolutionbasedShapeFunction::computeCorrectionFactors(), oofem::WeakPeriodicBoundaryCondition::computeElementTangent(), oofem::TransportGradientNeumann::computeEta(), oofem::SurfaceTensionBoundaryCondition::computeLoadVectorFromElement(), oofem::WeakPeriodicBoundaryCondition::computeProjectionCoefficient(), oofem::MixedGradientPressureWeakPeriodic::computeStress(), oofem::TransportElement::computeTangentFromEdgeLoad(), oofem::SurfaceTensionBoundaryCondition::computeTangentFromElement(), oofem::TransportElement::computeTangentFromSurfaceLoad(), oofem::WeakPeriodicBoundaryCondition::giveExternalForcesVector(), oofem::WeakPeriodicBoundaryCondition::giveInternalForcesVector(), oofem::PrescribedGradientBCNeumann::integrateTangent(), oofem::MixedGradientPressureWeakPeriodic::integrateTractionDev(), oofem::MixedGradientPressureWeakPeriodic::integrateTractionVelocityTangent(), and oofem::MixedGradientPressureWeakPeriodic::integrateTractionXTangent().

virtual void oofem::FEInterpolation::boundarySurfaceEvaldNdx	(	FloatMatrix &	answer,
		int	isurf,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo
	)

pure virtual

Evaluates the matrix of derivatives of edge interpolation functions (shape functions) at given point.

These derivatives are in global coordinate system (where the nodal coordinates are defined).

Parameters

answer	Contains resulting matrix of derivatives, the member at i,j position contains value of dNj/dxi.
isurf	Determines the surface number.
lcoords	Array containing (local) coordinates.
cellgeo	Underlying cell geometry.

Implemented in oofem::BSplineInterpolation, oofem::FEInterpolation2d, oofem::FEInterpolation3d, and oofem::FEInterpolation1d.

virtual void oofem::FEInterpolation::boundarySurfaceEvalN	(	FloatArray &	answer,
		int	isurf,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo
	)

pure virtual

Evaluates the array of edge interpolation functions (shape functions) at given point.

Parameters

answer	Contains resulting array of evaluated interpolation functions.
isurf	Surface number.
lcoords	Array containing (local) coordinates.
cellgeo	Underlying cell geometry.

Implemented in oofem::BSplineInterpolation, oofem::FEInterpolation2d, oofem::FEInterpolation3d, and oofem::FEInterpolation1d.

Referenced by oofem::QDKTPlate::computeSurfaceNMatrix(), oofem::MITC4Shell::computeSurfaceNMatrix(), and oofem::StructuralElement::computeSurfaceNMatrix().

virtual double oofem::FEInterpolation::boundarySurfaceEvalNormal	(	FloatArray &	answer,
		int	isurf,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo
	)

pure virtual

Evaluates the normal out of the surface at given point.

Parameters

answer	Contains resulting normal vector.
isurf	Determines the surface number.
lcoords	Array containing (local) coordinates.
cellgeo	Underlying cell geometry.

Returns: Surface mapping jacobian.

Implemented in oofem::BSplineInterpolation, oofem::FEInterpolation2d, oofem::FEInterpolation3d, and oofem::FEInterpolation1d.

virtual void oofem::FEInterpolation::boundarySurfaceGiveNodes	(	IntArray &	answer,
		int	boundary
	)

pure virtual

Gives the boundary nodes for requested boundary number.

Parameters

answer	Array to be filled with the boundary nodes.
boundary	Boundary number.

Implemented in oofem::FEInterpolation3d, oofem::BSplineInterpolation, oofem::FEInterpolation2d, and oofem::FEInterpolation1d.

Referenced by oofem::Element::giveBoundarySurfaceNodes(), and oofem::Set::giveNodeList().

virtual double oofem::FEInterpolation::boundarySurfaceGiveTransformationJacobian	(	int	isurf,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo
	)

pure virtual

Evaluates the edge jacobian of transformation between local and global coordinates.

Parameters

isurf	Determines the surface number.
lcoords	Array containing (local) coordinates.
cellgeo	Underlying cell geometry.

Returns: Determinant of the transformation.

Implemented in oofem::BSplineInterpolation, oofem::FEInterpolation2d, oofem::FEInterpolation3d, and oofem::FEInterpolation1d.

Referenced by oofem::StructuralElement::computeSurfaceVolumeAround().

virtual void oofem::FEInterpolation::boundarySurfaceLocal2global	(	FloatArray &	answer,
		int	isurf,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo
	)

pure virtual

Evaluates edge global coordinates from given local ones.

These derivatives are in global coordinate system (where the nodal coordinates are defined).

Parameters

answer	Contains resulting global coordinates.
isurf	Determines the surface number.
lcoords	Array containing (local) coordinates.
cellgeo	Underlying cell geometry.

Implemented in oofem::BSplineInterpolation, oofem::FEInterpolation2d, oofem::FEInterpolation3d, and oofem::FEInterpolation1d.

Referenced by oofem::TransportElement::computeSurfaceBCSubVectorAt().

std :: string oofem::FEInterpolation::errorInfo ( const char * func ) const

inline

Definition at line 490 of file feinterpol.h.

virtual void oofem::FEInterpolation::evald2Ndx2	(	FloatMatrix &	answer,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo
	)

inlinevirtual

Evaluates the matrix of second derivatives of interpolation functions (shape functions) at given point.

These derivatives are in global coordinate system (where the nodal coordinates are defined)

Parameters

answer	Contains resulting matrix of derivatives, the member at i,j position contains value of dNi/dxj.
lcoords	Array containing (local) coordinates.
cellgeo	Underlying cell geometry.

Reimplemented in oofem::FEI1dHermite, oofem::FEI3dLineLin, and oofem::FEI2dTrQuad.

Definition at line 183 of file feinterpol.h.

References OOFEM_ERROR.

virtual double oofem::FEInterpolation::evaldNdx	(	FloatMatrix &	answer,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo
	)

pure virtual

Evaluates the matrix of derivatives of interpolation functions (shape functions) at given point.

These derivatives are in global coordinate system (where the nodal coordinates are defined)

Parameters

answer	Contains resulting matrix of derivatives, the member at i,j position contains value of dNi/dxj.
lcoords	Array containing (local) coordinates.
cellgeo	Underlying cell geometry.

Returns: Determinant of the Jacobian.

Implemented in oofem::BSplineInterpolation, oofem::FEI3dHexaQuad, oofem::TSplineInterpolation, oofem::FEI2dLineQuad, oofem::FEI2dLineHermite, oofem::FEI2dLineLin, oofem::FEI2dQuadQuad, oofem::FEI3dWedgeLin, oofem::FEI1dLin, oofem::FEI1dQuad, oofem::FEI3dWedgeQuad, oofem::FEI3dTrQuad, oofem::FEI1dHermite, oofem::FEI3dTetQuad, oofem::FEI3dTrLin, oofem::FEI2dQuadLin, oofem::FEI3dLineLin, oofem::FEI2dTrLin, oofem::FEI2dTrQuad, oofem::FEI2dQuadConst, oofem::FEI2dTrConst, oofem::FEI3dHexaLin, oofem::FEI3dTetLin, and oofem::NURBSInterpolation.

virtual void oofem::FEInterpolation::evaldNdxi	(	FloatMatrix &	answer,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo
	)

inlinevirtual

Evaluates the matrix of derivatives of interpolation functions (shape functions) at given point.

These derivatives are wrt local (parent) coordinate system

Parameters

answer	Contains resulting matrix of derivatives, the member at i,j position contains value of dNi/dxij.
lcoords	Array containing (local) coordinates.
cellgeo	Underlying cell geometry.

Reimplemented in oofem::FEI2dQuadQuad, oofem::FEI2dQuadLin, oofem::FEI2dTrQuad, oofem::FEI2dLineQuad, oofem::FEI3dTrQuad, oofem::FEI2dLineLin, oofem::FEI3dTrLin, and oofem::FEI3dTetQuad.

Definition at line 193 of file feinterpol.h.

References OOFEM_ERROR.

Referenced by oofem::StructuralInterfaceElementPhF::computeBd_matrixAt(), oofem::IntElLine1PF::computeBd_vectorAt(), oofem::Shell7Base::computeBmatrixAt(), oofem::IntElLine1IntPen::computeCovarBaseVectorAt(), oofem::IntElLine2IntPen::computeCovarBaseVectorAt(), oofem::IntElLine1PF::computeCovarBaseVectorAt(), oofem::IntElLine1PhF::computeCovarBaseVectorAt(), oofem::IntElLine1::computeCovarBaseVectorAt(), oofem::Shell7BaseXFEM::computeEnrichedBmatrixAt(), oofem::Shell7Base::computeThicknessMappingCoeff(), oofem::Shell7Base::evalInitialCovarBaseVectorsAt(), oofem::FEInterpolation2d::giveJacobianMatrixAt(), and oofem::Shell7Base::setupInitialNodeDirectors().

virtual void oofem::FEInterpolation::evalN	(	FloatArray &	answer,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo
	)

pure virtual

Evaluates the array of interpolation functions (shape functions) at given point.

Parameters

answer	Contains resulting array of evaluated interpolation functions.
lcoords	Array containing (local) coordinates.
cellgeo	Underlying cell geometry.

Implemented in oofem::BSplineInterpolation, oofem::FEI3dHexaQuad, oofem::TSplineInterpolation, oofem::FEI2dLineQuad, oofem::FEI2dLineHermite, oofem::FEI2dLineLin, oofem::FEI2dQuadQuad, oofem::FEI3dWedgeLin, oofem::FEI1dLin, oofem::FEI1dQuad, oofem::FEI3dWedgeQuad, oofem::FEI2dQuadBiQuad, oofem::FEI3dTrQuad, oofem::FEI1dHermite, oofem::FEI3dTetQuad, oofem::FEI3dTrLin, oofem::FEI2dQuadLin, oofem::FEI3dLineLin, oofem::FEI2dTrLin, oofem::FEI2dTrQuad, oofem::FEI3dHexaTriQuad, oofem::FEI2dQuadConst, oofem::FEI2dTrConst, oofem::FEI3dHexaLin, oofem::FEI3dTetLin, and oofem::NURBSInterpolation.

virtual double oofem::FEInterpolation::evalNXIntegral	(	int	boundary,
		const FEICellGeometry &	cellgeo
	)

inlinevirtual

Computes the integral $\int_S n \cdot x \mathrm{d}s$ .

Parameters

boundary	Boundary number.
cellgeo	Underlying cell geometry.

Returns: Evaluated integral.

Reimplemented in oofem::FEI3dHexaQuad, oofem::FEI3dTetQuad, oofem::FEI2dQuadQuad, oofem::FEI3dTetLin, oofem::FEI2dLineLin, oofem::FEI3dHexaLin, oofem::FEI2dLineQuad, oofem::FEI2dTrLin, oofem::FEI2dQuadLin, oofem::FEI2dTrQuad, and oofem::FEI3dHexaTriQuad.

Definition at line 420 of file feinterpol.h.

References OOFEM_ERROR.

Referenced by oofem::PrescribedGradientHomogenization::domainSize(), oofem::TransportGradientNeumann::domainSize(), oofem::TransportGradientPeriodic::domainSize(), oofem::MixedGradientPressureBC::domainSize(), oofem::TransportGradientDirichlet::domainSize(), oofem::PrescribedGenStrainShell7::domainSize(), and oofem::PrescribedGenStrainShell7::updateCoefficientMatrix().

virtual integrationDomain oofem::FEInterpolation::giveBoundaryEdgeIntegrationDomain ( int boundary ) const

pure virtual

IntegrationRule * oofem::FEInterpolation::giveBoundaryEdgeIntegrationRule	(	int	order,
		int	boundary
	)

virtual

Sets up a suitable integration rule for integrating over the requested boundary.

The required polynomial order for the determinant of the jacobian is added automatically.

Parameters

order	Polynomial order of the integrand (should NOT including determinant of jacobian).
boundary	Boundary number.

Reimplemented in oofem::BSplineInterpolation, oofem::FEInterpolation3d, and oofem::FEInterpolation1d.

Definition at line 74 of file feinterpol.C.

References oofem::IntegrationRule::getRequiredNumberOfIntegrationPoints(), and oofem::IntegrationRule::setUpIntegrationPoints().

Referenced by oofem::QuadAxisym1_ht::giveBoundaryEdgeIntegrationRule(), and oofem::Element::giveBoundaryEdgeIntegrationRule().

virtual integrationDomain oofem::FEInterpolation::giveBoundaryIntegrationDomain ( int boundary ) const

pure virtual

IntegrationRule * oofem::FEInterpolation::giveBoundaryIntegrationRule	(	int	order,
		int	boundary
	)

virtual

Sets up a suitable integration rule for integrating over the requested boundary.

The required polynomial order for the determinant of the jacobian is added automatically.

Parameters

order	Polynomial order of the integrand (should NOT including determinant of jacobian).
boundary	Boundary number.

Reimplemented in oofem::BSplineInterpolation, oofem::FEInterpolation3d, oofem::FEI3dHexaQuad, oofem::FEI3dTrQuad, oofem::FEI3dTetQuad, oofem::FEI3dTrLin, oofem::FEI3dWedgeLin, oofem::FEI3dWedgeQuad, oofem::FEInterpolation1d, oofem::FEI3dTetLin, oofem::FEI3dHexaLin, oofem::FEI3dLineLin, and oofem::FEI3dHexaTriQuad.

Definition at line 63 of file feinterpol.C.

References oofem::IntegrationRule::getRequiredNumberOfIntegrationPoints(), and oofem::IntegrationRule::setUpIntegrationPoints().

Referenced by oofem::PrescribedMean::assemble(), oofem::WeakPeriodicBoundaryCondition::assemble(), oofem::tet21ghostsolid::computeBoundarySurfaceLoadVector(), oofem::SolutionbasedShapeFunction::computeCorrectionFactors(), oofem::PrescribedMean::computeDomainSize(), oofem::WeakPeriodicBoundaryCondition::computeElementTangent(), oofem::TransportGradientNeumann::computeEta(), oofem::SurfaceTensionBoundaryCondition::computeLoadVectorFromElement(), oofem::WeakPeriodicBoundaryCondition::computeProjectionCoefficient(), oofem::MixedGradientPressureWeakPeriodic::computeStress(), oofem::SurfaceTensionBoundaryCondition::computeTangentFromElement(), oofem::WeakPeriodicBoundaryCondition::giveExternalForcesVector(), oofem::PrescribedMean::giveInternalForcesVector(), oofem::WeakPeriodicBoundaryCondition::giveInternalForcesVector(), oofem::MixedGradientPressureNeumann::integrateDevTangent(), oofem::PrescribedGradientBCNeumann::integrateTangent(), oofem::TransportGradientNeumann::integrateTangent(), oofem::MixedGradientPressureWeakPeriodic::integrateTractionDev(), oofem::MixedGradientPressureWeakPeriodic::integrateTractionVelocityTangent(), oofem::MixedGradientPressureWeakPeriodic::integrateTractionXTangent(), and oofem::MixedGradientPressureNeumann::integrateVolTangent().

virtual integrationDomain oofem::FEInterpolation::giveBoundarySurfaceIntegrationDomain ( int boundary ) const

pure virtual

IntegrationRule * oofem::FEInterpolation::giveBoundarySurfaceIntegrationRule	(	int	order,
		int	boundary
	)

virtual

Sets up a suitable integration rule for integrating over the requested boundary.

The required polynomial order for the determinant of the jacobian is added automatically.

Parameters

order	Polynomial order of the integrand (should NOT including determinant of jacobian).
boundary	Boundary number.

Definition at line 85 of file feinterpol.C.

References oofem::IntegrationRule::getRequiredNumberOfIntegrationPoints(), and oofem::IntegrationRule::setUpIntegrationPoints().

Referenced by oofem::QuadAxisym1_ht::giveBoundarySurfaceIntegrationRule(), and oofem::Element::giveBoundarySurfaceIntegrationRule().

virtual Element_Geometry_Type oofem::FEInterpolation::giveGeometryType ( ) const

pure virtual

Returns the geometry type fo the interpolator.

Implemented in oofem::BSplineInterpolation, oofem::FEI3dHexaQuad, oofem::FEI2dQuadQuad, oofem::FEI1dHermite, oofem::FEI3dWedgeLin, oofem::FEI3dWedgeQuad, oofem::FEI1dLin, oofem::FEI1dQuad, oofem::FEI2dTrLin, oofem::FEI2dLineHermite, oofem::FEI2dTrConst, oofem::FEI3dTrQuad, oofem::FEI2dLineLin, oofem::FEI2dLineQuad, oofem::FEI3dTetQuad, oofem::FEI3dTrLin, oofem::FEI2dQuadLin, oofem::FEI3dHexaTriQuad, oofem::FEI2dQuadConst, oofem::FEI2dTrQuad, oofem::FEI3dHexaLin, oofem::FEI3dLineLin, and oofem::FEI3dTetLin.

Referenced by oofem::Element::giveGeometryType().

virtual integrationDomain oofem::FEInterpolation::giveIntegrationDomain ( ) const

pure virtual

Returns the integration domain of the interpolator.

Implemented in oofem::BSplineInterpolation, oofem::FEI3dHexaQuad, oofem::FEI2dQuadQuad, oofem::FEI1dHermite, oofem::FEI3dWedgeLin, oofem::FEI3dWedgeQuad, oofem::FEI1dLin, oofem::FEI1dQuad, oofem::FEI2dLineHermite, oofem::FEI2dTrConst, oofem::FEI3dTrQuad, oofem::FEI2dLineLin, oofem::FEI2dLineQuad, oofem::FEI3dTetQuad, oofem::FEI3dTrLin, oofem::FEI2dQuadLin, oofem::FEI3dHexaTriQuad, oofem::FEI2dQuadConst, oofem::FEI2dTrLin, oofem::FEI2dTrQuad, oofem::FEI3dHexaLin, oofem::FEI3dLineLin, and oofem::FEI3dTetLin.

Referenced by oofem::Element::giveIntegrationDomain().

IntegrationRule * oofem::FEInterpolation::giveIntegrationRule ( int order )

virtual

Sets up a suitable integration rule for numerical integrating over volume.

The required polynomial order for the determinant of the jacobian is added automatically.

Parameters

order Polynomial order of integrand (should NOT including determinant of jacobian).

Reimplemented in oofem::BSplineInterpolation, oofem::FEI3dHexaQuad, oofem::FEI3dTrQuad, oofem::FEI3dTetQuad, oofem::FEI3dTrLin, oofem::FEI3dWedgeLin, oofem::FEI3dWedgeQuad, oofem::FEInterpolation1d, oofem::FEI2dQuadQuad, oofem::FEI2dLineHermite, oofem::FEI2dLineLin, oofem::FEI3dTetLin, oofem::FEI2dLineQuad, oofem::FEI3dHexaLin, oofem::FEI3dLineLin, oofem::FEI2dTrLin, oofem::FEI2dQuadLin, oofem::FEI2dTrQuad, oofem::FEI2dQuadConst, oofem::FEI2dTrConst, oofem::FEI3dHexaTriQuad, and oofem::FEI2dQuadBiQuad.

Definition at line 52 of file feinterpol.C.

References oofem::IntegrationRule::getRequiredNumberOfIntegrationPoints(), and oofem::IntegrationRule::SetUpPointsOnLine().

Referenced by oofem::PrescribedMean::assemble(), oofem::PrescribedMean::computeDomainSize(), oofem::TransportElement::computeLoadVector(), oofem::NeumannMomentLoad::computeXbar(), and oofem::PrescribedMean::giveInternalForcesVector().

int oofem::FEInterpolation::giveInterpolationOrder ( )

inline

Returns the interpolation order.

Definition at line 159 of file feinterpol.h.

Referenced by oofem::TransportElement::computeBoundaryEdgeLoadVector(), oofem::TrPlanestressRotAllman::computeBoundaryEdgeLoadVector(), oofem::TransportElement::computeBoundarySurfaceLoadVector(), oofem::Shell7BaseXFEM::computeEnrTractionForce(), oofem::TransportGradientNeumann::computeEta(), oofem::TransportElement::computeLoadVector(), oofem::SurfaceTensionBoundaryCondition::computeLoadVectorFromElement(), oofem::MixedGradientPressureWeakPeriodic::computeStress(), oofem::TransportElement::computeTangentFromEdgeLoad(), oofem::SurfaceTensionBoundaryCondition::computeTangentFromElement(), oofem::TransportElement::computeTangentFromSurfaceLoad(), oofem::Shell7Base::computeTractionForce(), oofem::TransportGradientDirichlet::computeXi(), oofem::HuertaRemeshingCriteria::estimateMeshDensities(), oofem::TransportElement::giveApproxOrder(), oofem::StructuralElement::giveNumberOfIPForMassMtrxIntegration(), oofem::MixedGradientPressureNeumann::integrateDevTangent(), oofem::PrescribedGradientBCNeumann::integrateTangent(), oofem::TransportGradientNeumann::integrateTangent(), oofem::MixedGradientPressureWeakPeriodic::integrateTractionDev(), oofem::MixedGradientPressureWeakPeriodic::integrateTractionVelocityTangent(), oofem::MixedGradientPressureWeakPeriodic::integrateTractionXTangent(), and oofem::MixedGradientPressureNeumann::integrateVolTangent().

virtual void oofem::FEInterpolation::giveJacobianMatrixAt	(	FloatMatrix &	jacobianMatrix,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo
	)

inlinevirtual

Gives the jacobian matrix at the local coordinates.

Parameters

jacobianMatrix	The requested matrix.
lcoords	Local coordinates.
cellgeo	Element geometry.

Reimplemented in oofem::BSplineInterpolation, oofem::FEI3dHexaQuad, oofem::FEI3dTrQuad, oofem::FEI3dTetQuad, oofem::FEI3dTrLin, oofem::FEI2dLineQuad, oofem::FEI3dWedgeQuad, oofem::TSplineInterpolation, oofem::FEI3dHexaLin, oofem::FEI3dLineLin, oofem::FEInterpolation2d, oofem::FEI3dWedgeLin, and oofem::NURBSInterpolation.

Definition at line 232 of file feinterpol.h.

References OOFEM_ERROR.

Referenced by oofem::SolidShell::computeEASBmatrixAt(), oofem::MeshQualityErrorEstimator::computeJacobianError(), oofem::Structural3DElement::giveMaterialOrientationAt(), and oofem::Structural2DElement::giveMaterialOrientationAt().

virtual const IntArray* oofem::FEInterpolation::giveKnotMultiplicity ( int dim )

inlinevirtual

Returns the knot multiplicity of the receiver.

Reimplemented in oofem::BSplineInterpolation.

Definition at line 471 of file feinterpol.h.

Referenced by oofem::IGAElement::initializeFrom(), and oofem::IGATSplineElement::initializeFrom().

virtual int oofem::FEInterpolation::giveKnotSpanBasisFuncMask	(	const IntArray &	knotSpan,
		IntArray &	mask
	)

inlinevirtual

Returns indices (zero based) of nonzero basis functions for given knot span.

The knot span identifies the sub-region of the finite element.

Returns: Nonzero if mask is provided, zero otherwise meaning that all basis functions are generally nonzero.

Reimplemented in oofem::BSplineInterpolation, and oofem::TSplineInterpolation.

Definition at line 444 of file feinterpol.h.

Referenced by oofem::StructuralElementEvaluator::giveIntegrationElementLocalCodeNumbers().

virtual const FloatArray* oofem::FEInterpolation::giveKnotValues ( int dim )

inlinevirtual

Returns the knot values of the receiver.

Reimplemented in oofem::BSplineInterpolation.

Definition at line 467 of file feinterpol.h.

Referenced by oofem::IGAElement::initializeFrom(), and oofem::IGATSplineElement::initializeFrom().

virtual const double* const* oofem::FEInterpolation::giveKnotVector ( )

inlinevirtual

Returns the subdivision of patch parametric space.

Reimplemented in oofem::BSplineInterpolation.

Definition at line 457 of file feinterpol.h.

Referenced by oofem::drawIGAPatchDeformedGeometry(), oofem::IGAElement::drawRawGeometry(), oofem::BsplinePlaneStressElement::drawScalar(), oofem::NURBSPlaneStressElement::drawScalar(), oofem::TSplinePlaneStressElement::drawScalar(), and oofem::NURBSSpace3dElement::drawScalar().

virtual void oofem::FEInterpolation::giveLocalNodeCoords ( FloatMatrix & answer )

inlinevirtual

Returns a matrix containing the local coordinates for each node corresponding to the interpolation.

Reimplemented in oofem::FEI3dWedgeQuad, and oofem::FEI3dTrQuad.

Definition at line 199 of file feinterpol.h.

References OOFEM_ERROR.

Referenced by oofem::Shell7Base::setupInitialNodeDirectors().

virtual int oofem::FEInterpolation::giveNsd ( )

pure virtual

Returns number of spatial dimensions.

Implemented in oofem::BSplineInterpolation, oofem::FEInterpolation2d, oofem::FEInterpolation1d, and oofem::FEInterpolation3d.

Referenced by oofem::tet21ghostsolid::computeBoundarySurfaceLoadVector(), oofem::drawIGAPatchDeformedGeometry(), and oofem::StructuralElementEvaluator::giveIntegrationElementLocalCodeNumbers().

virtual int oofem::FEInterpolation::giveNumberOfEdges ( ) const

inlinevirtual

Returns number of edges.

Reimplemented in oofem::FEI3dTrQuad, oofem::FEI3dTrLin, oofem::FEI2dTrLin, oofem::FEI2dQuadLin, oofem::FEI2dTrQuad, oofem::FEI2dLineQuad, and oofem::FEI2dLineLin.

Definition at line 479 of file feinterpol.h.

References OOFEM_ERROR.

Referenced by oofem::GeometryBasedEI::computeIntersectionPoints(), oofem::Line::computeNumberOfIntersectionPoints(), oofem::GeometryBasedEI::updateNodeEnrMarker(), and oofem::XfemElementInterface::XfemElementInterface_prepareNodesForDelaunay().

virtual int oofem::FEInterpolation::giveNumberOfKnotSpanBasisFunctions ( const IntArray & knotSpan )

inlinevirtual

Returns the number of nonzero basis functions at individual knot span,.

Returns: Zero in case of all basis functions generally nonzero, answer otherwise.

Reimplemented in oofem::BSplineInterpolation, and oofem::TSplineInterpolation.

Definition at line 449 of file feinterpol.h.

virtual int oofem::FEInterpolation::giveNumberOfKnotSpans ( int dim )

inlinevirtual

Returns the number of knot spans of the receiver.

Reimplemented in oofem::BSplineInterpolation.

Definition at line 463 of file feinterpol.h.

Referenced by oofem::IGAElement::initializeFrom(), and oofem::IGATSplineElement::initializeFrom().

virtual int oofem::FEInterpolation::giveNumberOfNodes ( ) const

inlinevirtual

Returns the number of geometric nodes of the receiver.

Reimplemented in oofem::FEI3dTrQuad, oofem::FEI3dTetQuad, oofem::FEI3dTrLin, oofem::FEI3dWedgeLin, oofem::FEI3dWedgeQuad, oofem::FEI3dHexaQuad, oofem::FEI2dLineHermite, oofem::FEI2dLineLin, oofem::FEI2dLineQuad, oofem::FEI3dLineLin, oofem::FEI2dQuadConst, oofem::FEI2dTrConst, oofem::FEI1dLin, oofem::FEI1dQuad, oofem::FEI2dQuadQuad, oofem::FEI1dHermite, oofem::FEI2dQuadBiQuad, oofem::FEI2dTrLin, oofem::FEI2dQuadLin, oofem::FEI2dTrQuad, oofem::FEI3dTetLin, oofem::FEI3dHexaLin, and oofem::FEI3dHexaTriQuad.

Definition at line 486 of file feinterpol.h.

References OOFEM_ERROR.

Referenced by oofem::FEInterpolation2d::boundarySurfaceGiveNodes(), oofem::Structural3DElement::computeNumberOfDofs(), oofem::Structural2DElement::computeNumberOfDofs(), and oofem::Structural2DElement::giveNumberOfNodes().

double oofem::FEInterpolation::giveTransformationJacobian	(	const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo
	)

virtual

Evaluates the determinant of the transformation.

Parameters

lcoords	Array containing (local) coordinates.
cellgeo	Underlying cell geometry.

Returns: Determinant of the transformation.

Reimplemented in oofem::FEI2dQuadQuadAxi, oofem::FEI2dQuadLinAxi, oofem::FEI2dTrLinAxi, oofem::FEI2dLineQuad, oofem::FEI2dLineLin, oofem::FEI3dWedgeLin, oofem::FEI2dLineHermite, oofem::FEI1dLin, oofem::FEI1dQuad, oofem::FEI3dWedgeQuad, oofem::FEI1dHermite, oofem::FEI3dLineLin, oofem::FEI2dTrLin, oofem::FEI2dTrConst, and oofem::FEI3dTetLin.

Definition at line 43 of file feinterpol.C.

References oofem::FloatMatrix::giveDeterminant().

virtual int oofem::FEInterpolation::global2local	(	FloatArray &	answer,
		const FloatArray &	gcoords,
		const FEICellGeometry &	cellgeo
	)

pure virtual

Evaluates local coordinates from given global ones.

If local coordinates cannot be found (generate elements, or point far outside geometry, then the center coordinate will be used as a last resort, and the return value will be zero.

Parameters