Class representing implementation of tri-quadratic hexahedra interpolation class. More...

#include <fei3dhexatriquad.h>

Inheritance diagram for oofem::FEI3dHexaTriQuad:

Collaboration diagram for oofem::FEI3dHexaTriQuad:

Public Member Functions
	FEI3dHexaTriQuad ()

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

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

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

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

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

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

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

virtual void	surfaceEvalN (FloatArray &answer, int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo)
	Evaluates the array of edge interpolation functions (shape functions) at given point. More...

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

virtual void	computeLocalSurfaceMapping (IntArray &nodes, int iSurf)

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

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

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

Public Member Functions inherited from oofem::FEI3dHexaQuad
	FEI3dHexaQuad ()

virtual double	giveCharacteristicLength (const FEICellGeometry &cellgeo) const

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

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

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

virtual void	edgeEvalN (FloatArray &answer, int iedge, const FloatArray &lcoords, const FEICellGeometry &cellgeo)
	Evaluates the array of edge interpolation functions (shape functions) at given point. More...

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

virtual void	edgeLocal2global (FloatArray &answer, int iedge, const FloatArray &lcoords, const FEICellGeometry &cellgeo)
	Evaluates edge global coordinates from given local ones. More...

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

virtual void	computeLocalEdgeMapping (IntArray &edgeNodes, int iedge)

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

virtual void	surfaceLocal2global (FloatArray &answer, int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo)
	Evaluates edge global coordinates from given local ones. More...

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

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

Public Member Functions inherited from oofem::FEInterpolation3d
	FEInterpolation3d (int o)

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

virtual double	giveVolume (const FEICellGeometry &cellgeo) const
	Computes the exact volume. More...

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

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

virtual double	boundaryEdgeGiveTransformationJacobian (int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo)
	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)
	Maps the local boundary coordinates to global. More...

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

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

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

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

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

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

virtual double	boundaryGiveTransformationJacobian (int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo)
	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)
	Maps the local boundary coordinates to global. More...

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

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

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

void	computeEdgeMapping (IntArray &edgeNodes, IntArray &elemNodes, int iedge)

void	computeSurfaceMapping (IntArray &surfNodes, IntArray &elemNodes, int isurf)

Public Member Functions inherited from oofem::FEInterpolation
	FEInterpolation (int o)

virtual	~FEInterpolation ()

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

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

int	giveInterpolationOrder ()
	Returns the interpolation order. 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 double	giveTransformationJacobian (const FloatArray &lcoords, const FEICellGeometry &cellgeo)
	Evaluates the determinant of the transformation. More...

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

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

Protected Member Functions
virtual void	giveLocalDerivative (FloatMatrix &dN, const FloatArray &lcoords)

Additional Inherited Members
Protected Attributes inherited from oofem::FEInterpolation
int	order

Detailed Description

Class representing implementation of tri-quadratic hexahedra interpolation class.

Author: Mikael Öhman

Definition at line 45 of file fei3dhexatriquad.h.

Constructor & Destructor Documentation

oofem::FEI3dHexaTriQuad::FEI3dHexaTriQuad ( )

inline

Definition at line 48 of file fei3dhexatriquad.h.

Member Function Documentation

void oofem::FEI3dHexaTriQuad::computeLocalSurfaceMapping	(	IntArray &	nodes,
		int	iSurf
	)

virtual

Reimplemented from oofem::FEI3dHexaQuad.

Definition at line 188 of file fei3dhexatriquad.C.

References OOFEM_ERROR.

Referenced by evalNXIntegral(), oofem::Hexa21Stokes::NodalAveragingRecoveryMI_computeNodalValue(), and surfaceEvalNormal().

void oofem::FEI3dHexaTriQuad::evalN	(	FloatArray &	answer,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo
	)

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.

Reimplemented from oofem::FEI3dHexaQuad.

Definition at line 43 of file fei3dhexatriquad.C.

References oofem::FloatArray::at(), and oofem::FloatArray::resize().

Referenced by oofem::Hexa21Stokes::computeField(), and oofem::Hexa21Stokes::computeLoadVector().

double oofem::FEI3dHexaTriQuad::evalNXIntegral	(	int	boundary,
		const FEICellGeometry &	cellgeo
	)

virtual

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

Parameters

boundary	Boundary number.
cellgeo	Underlying cell geometry.

Returns: Evaluated integral.

Reimplemented from oofem::FEI3dHexaQuad.

Definition at line 354 of file fei3dhexatriquad.C.

References oofem::IntArray::at(), computeLocalSurfaceMapping(), and oofem::FEICellGeometry::giveVertexCoordinates().

virtual integrationDomain oofem::FEI3dHexaTriQuad::giveBoundaryEdgeIntegrationDomain ( int boundary ) const

inlinevirtual

Returns boundary integration domain.

Reimplemented from oofem::FEI3dHexaQuad.

Definition at line 54 of file fei3dhexatriquad.h.

References oofem::_Line.

virtual integrationDomain oofem::FEI3dHexaTriQuad::giveBoundaryIntegrationDomain ( int boundary ) const

inlinevirtual

Returns boundary integration domain.

Reimplemented from oofem::FEI3dHexaQuad.

Definition at line 52 of file fei3dhexatriquad.h.

References oofem::_Square.

IntegrationRule * oofem::FEI3dHexaTriQuad::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.

Todo:: Verify: Is +6 correct for dealing with "detJ" on this surface?

Reimplemented from oofem::FEI3dHexaQuad.

Definition at line 474 of file fei3dhexatriquad.C.

References oofem::_Square, oofem::IntegrationRule::getRequiredNumberOfIntegrationPoints(), and oofem::IntegrationRule::SetUpPointsOnSquare().

virtual integrationDomain oofem::FEI3dHexaTriQuad::giveBoundarySurfaceIntegrationDomain ( int boundary ) const

inlinevirtual

Returns boundary integration domain.

Reimplemented from oofem::FEI3dHexaQuad.

Definition at line 53 of file fei3dhexatriquad.h.

References oofem::_Square.

virtual Element_Geometry_Type oofem::FEI3dHexaTriQuad::giveGeometryType ( ) const

inlinevirtual

Returns the geometry type fo the interpolator.

Reimplemented from oofem::FEI3dHexaQuad.

Definition at line 51 of file fei3dhexatriquad.h.

virtual integrationDomain oofem::FEI3dHexaTriQuad::giveIntegrationDomain ( ) const

inlinevirtual

Returns the integration domain of the interpolator.

Reimplemented from oofem::FEI3dHexaQuad.

Definition at line 50 of file fei3dhexatriquad.h.

References oofem::_Cube.

IntegrationRule * oofem::FEI3dHexaTriQuad::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).

Todo:: Verify: Is +15 correct for dealing with "detJ"? If it is, perhaps we shouldn't go for exact integration since it is likely overkill.

Reimplemented from oofem::FEI3dHexaQuad.

Definition at line 464 of file fei3dhexatriquad.C.

References oofem::_Cube, oofem::IntegrationRule::getRequiredNumberOfIntegrationPoints(), and oofem::IntegrationRule::SetUpPointsOnCube().

void oofem::FEI3dHexaTriQuad::giveLocalDerivative	(	FloatMatrix &	dN,
		const FloatArray &	lcoords
	)

protectedvirtual

Reimplemented from oofem::FEI3dHexaQuad.

Definition at line 209 of file fei3dhexatriquad.C.

References oofem::FloatArray::at(), oofem::FloatMatrix::at(), and oofem::FloatMatrix::resize().

virtual int oofem::FEI3dHexaTriQuad::giveNumberOfNodes ( ) const

inlinevirtual

Returns the number of geometric nodes of the receiver.

Reimplemented from oofem::FEI3dHexaQuad.

Definition at line 58 of file fei3dhexatriquad.h.

void oofem::FEI3dHexaTriQuad::surfaceEvalN	(	FloatArray &	answer,
		int	isurf,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo
	)

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.

Reimplemented from oofem::FEI3dHexaQuad.

Definition at line 100 of file fei3dhexatriquad.C.

References oofem::FloatArray::at(), and oofem::FloatArray::resize().

Referenced by oofem::Hexa21Stokes::computeBoundarySurfaceLoadVector().

double oofem::FEI3dHexaTriQuad::surfaceEvalNormal	(	FloatArray &	answer,
		int	isurf,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo
	)

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.

Reimplemented from oofem::FEI3dHexaQuad.

Definition at line 129 of file fei3dhexatriquad.C.

References oofem::FloatArray::add(), oofem::IntArray::at(), oofem::FloatArray::at(), oofem::FloatArray::beVectorProductOf(), computeLocalSurfaceMapping(), oofem::FEICellGeometry::giveVertexCoordinates(), and oofem::FloatArray::normalize().

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

Public Member Functions

Protected Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation