#include <fei3dhexalin.h>

Inheritance diagram for oofem::FEI3dHexaLin:

Collaboration diagram for oofem::FEI3dHexaLin:

Public Member Functions
	FEI3dHexaLin ()
integrationDomain	giveIntegrationDomain (const Element_Geometry_Type) const override
const Element_Geometry_Type	giveGeometryType () const override
const Element_Geometry_Type	giveBoundaryGeometryType (int boundary) const override
integrationDomain	giveBoundaryIntegrationDomain (int ib, const Element_Geometry_Type) const override
	Returns boundary integration domain.
integrationDomain	giveBoundarySurfaceIntegrationDomain (int isurf, const Element_Geometry_Type) const override
	Returns boundary integration domain.
integrationDomain	giveBoundaryEdgeIntegrationDomain (int iedge, const Element_Geometry_Type) const override
	Returns boundary integration domain.
void	evalN (FloatArray &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
double	evaldNdx (FloatMatrix &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
void	evaldNdxi (FloatMatrix &dN, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
void	local2global (FloatArray &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
int	global2local (FloatArray &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
int	giveNumberOfNodes (const Element_Geometry_Type) const override
void	giveCellDofMans (IntArray &nodes, IntArray &internalDofMans, Element *elem) const override
	Returns list of element nodes (and list of internal dof managers) (including on edges and surfaces) defining the approximation.
void	edgeEvalN (FloatArray &answer, int iedge, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
void	edgeEvaldNdx (FloatMatrix &answer, int iedge, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
void	edgeEvaldNdxi (FloatArray &answer, int iedge, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
void	edgeLocal2global (FloatArray &answer, int iedge, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
double	edgeGiveTransformationJacobian (int iedge, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
IntArray	computeLocalEdgeMapping (int iedge) const override
void	surfaceEvalN (FloatArray &answer, int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
void	surfaceEvaldNdx (FloatMatrix &answer, int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
void	surfaceEvaldNdxi (FloatMatrix &answer, const FloatArray &lcoords) const override
void	surfaceLocal2global (FloatArray &answer, int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
double	surfaceEvalNormal (FloatArray &answer, int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
double	surfaceGiveTransformationJacobian (int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
IntArray	computeLocalSurfaceMapping (int iedge) const override
void	giveJacobianMatrixAt (FloatMatrix &jacobianMatrix, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
double	evalNXIntegral (int iEdge, const FEICellGeometry &cellgeo) const override
std::unique_ptr< IntegrationRule >	giveIntegrationRule (int order, const Element_Geometry_Type) const override
std::unique_ptr< IntegrationRule >	giveBoundaryIntegrationRule (int order, int boundary, const Element_Geometry_Type) const override
Public Member Functions inherited from oofem::FEInterpolation3d
	FEInterpolation3d (int o)
int	giveNsd (const Element_Geometry_Type) const override
virtual double	giveVolume (const FEICellGeometry &cellgeo) const
IntArray	boundaryEdgeGiveNodes (int boundary, const Element_Geometry_Type, bool includeHierarchical=false) const override
void	boundaryEdgeEvalN (FloatArray &answer, int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
double	boundaryEdgeGiveTransformationJacobian (int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
void	boundaryEdgeLocal2Global (FloatArray &answer, int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
double	boundaryEdgeEvalNormal (FloatArray &answer, int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
void	boundarySurfaceEvalN (FloatArray &answer, int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
void	boundarySurfaceEvaldNdx (FloatMatrix &answer, int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
double	boundarySurfaceEvalNormal (FloatArray &answer, int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
void	boundarySurfaceLocal2global (FloatArray &answer, int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
double	boundarySurfaceGiveTransformationJacobian (int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
FloatMatrixF< 3, 3 >	surfaceGiveJacobianMatrixAt (int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const
IntArray	boundaryGiveNodes (int boundary, const Element_Geometry_Type) const override
void	boundaryEvalN (FloatArray &answer, int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
double	boundaryEvalNormal (FloatArray &answer, int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
double	boundaryGiveTransformationJacobian (int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
void	boundaryLocal2Global (FloatArray &answer, int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
virtual double	edgeEvalNormal (FloatArray &answer, int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const
IntArray	computeEdgeMapping (const IntArray &elemNodes, int iedge) const
void	surfaceEvaldNdxi (FloatMatrix &answer, const FloatArray &lcoords) const override
void	surfaceEvald2Ndxi2 (FloatMatrix &answer, const FloatArray &lcoords) const override
virtual std::tuple< FloatArrayF< 3 >, FloatArrayF< 3 > >	surfaceEvalBaseVectorsAt (int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const
virtual std::tuple< double, FloatArrayF< 3 > >	surfaceEvalUnitNormal (int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const
IntArray	computeSurfaceMapping (const IntArray &elemNodes, int isurf) const
std::unique_ptr< IntegrationRule >	giveBoundaryEdgeIntegrationRule (int order, int boundary, const Element_Geometry_Type) const override
std::unique_ptr< IntegrationRule >	giveBoundaryIntegrationRule (int _order, int boundary, const Element_Geometry_Type) const override
IntArray	boundarySurfaceGiveNodes (int boundary, Element_Geometry_Type, bool includeHierarchical=false) const override
Public Member Functions inherited from oofem::FEInterpolation
	FEInterpolation (int o)
virtual	~FEInterpolation ()=default
virtual void	initializeFrom (InputRecord &ir, ParameterManager &pm, int elnum, int priority)
	Initializes receiver according to object description stored in input record.
virtual void	postInitialize (ParameterManager &pm, int elnum)
int	giveInterpolationOrder () const
virtual void	evald2Ndx2 (FloatMatrix &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const
virtual void	giveLocalNodeCoords (FloatMatrix &answer, const Element_Geometry_Type) const
virtual double	giveTransformationJacobian (const FloatArray &lcoords, const FEICellGeometry &cellgeo) const
virtual std::unique_ptr< IntegrationRule >	giveBoundarySurfaceIntegrationRule (int order, int boundary, const Element_Geometry_Type) const
virtual int	giveKnotSpanBasisFuncMask (const IntArray &knotSpan, IntArray &mask) const
virtual int	giveNumberOfKnotSpanBasisFunctions (const IntArray &knotSpan) const
virtual bool	hasSubPatchFormulation () const
virtual const FloatArray *	giveKnotVector () const
virtual int	giveNumberOfKnotSpans (int dim) const
virtual const FloatArray *	giveKnotValues (int dim) const
virtual const IntArray *	giveKnotMultiplicity (int dim) const
virtual int	giveNumberOfEdges (const Element_Geometry_Type) const
virtual void	initializeCell (Element *e) const
std::string	errorInfo (const char *func) const

Static Public Member Functions
static FloatArrayF< 8 >	evalN (const FloatArrayF< 3 > &lcoords)
static std::pair< double, FloatMatrixF< 3, 8 > >	evaldNdx (const FloatArrayF< 3 > &lcoords, const FEICellGeometry &cellgeo)
static FloatMatrixF< 3, 8 >	evaldNdxi (const FloatArrayF< 3 > &lcoords)

Protected Member Functions
double	edgeComputeLength (const IntArray &edgeNodes, const FEICellGeometry &cellgeo) const

Additional Inherited Members
Protected Attributes inherited from oofem::FEInterpolation
int	order = 0

Detailed Description

Class representing implementation of linear hexahedra interpolation class.

Definition at line 45 of file fei3dhexalin.h.

Constructor & Destructor Documentation

◆ FEI3dHexaLin()

oofem::FEI3dHexaLin::FEI3dHexaLin ( )

inline

Definition at line 48 of file fei3dhexalin.h.

References oofem::FEInterpolation3d::FEInterpolation3d().

Member Function Documentation

◆ computeLocalEdgeMapping()

IntArray oofem::FEI3dHexaLin::computeLocalEdgeMapping ( int iedge ) const

overridevirtual

Implements oofem::FEInterpolation3d.

Definition at line 408 of file fei3dhexalin.C.

Referenced by edgeEvaldNdx(), edgeGiveTransformationJacobian(), and edgeLocal2global().

◆ computeLocalSurfaceMapping()

IntArray oofem::FEI3dHexaLin::computeLocalSurfaceMapping ( int iedge ) const

overridevirtual

Implements oofem::FEInterpolation3d.

Definition at line 594 of file fei3dhexalin.C.

Referenced by evalNXIntegral(), surfaceEvaldNdx(), surfaceEvalNormal(), and surfaceLocal2global().

◆ edgeComputeLength()

double oofem::FEI3dHexaLin::edgeComputeLength	(	const IntArray &	edgeNodes,
		const FEICellGeometry &	cellgeo ) const

protected

Definition at line 441 of file fei3dhexalin.C.

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

Referenced by edgeEvaldNdx(), and edgeGiveTransformationJacobian().

◆ edgeEvaldNdx()

void oofem::FEI3dHexaLin::edgeEvaldNdx	(	FloatMatrix &	answer,
		int	iedge,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

overridevirtual

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.
iedge	Determines the edge number.
lcoords	Array containing (local) coordinates.
cellgeo	Underlying cell geometry.

Implements oofem::FEInterpolation3d.

Definition at line 360 of file fei3dhexalin.C.

References oofem::FloatMatrix::at(), computeLocalEdgeMapping(), edgeComputeLength(), and oofem::FloatMatrix::resize().

◆ edgeEvaldNdxi()

void oofem::FEI3dHexaLin::edgeEvaldNdxi	(	FloatArray &	answer,
		int	iedge,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

overridevirtual

Evaluates the matrix of derivatives of edge interpolation functions (shape functions) at given point. These derivatives are in local (parent) coordinate system

Parameters

answer	Contains resulting matrix of derivatives, the member at i,j position contains value of dN_j/dxi_i.
iedge	Determines the edge number.
lcoords	Array containing (local) coordinates.
cellgeo	Underlying cell geometry.

Reimplemented from oofem::FEInterpolation3d.

Definition at line 373 of file fei3dhexalin.C.

References oofem::FloatArray::resize().

◆ edgeEvalN()

void oofem::FEI3dHexaLin::edgeEvalN	(	FloatArray &	answer,
		int	iedge,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

overridevirtual

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

Parameters

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

Implements oofem::FEInterpolation3d.

Definition at line 350 of file fei3dhexalin.C.

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

Referenced by edgeLocal2global().

◆ edgeGiveTransformationJacobian()

double oofem::FEI3dHexaLin::edgeGiveTransformationJacobian	(	int	iedge,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

overridevirtual

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

Parameters

iedge	Determines edge number.
lcoords	Array containing (local) coordinates.
cellgeo	Underlying cell geometry.

Returns: Determinant of the transformation.

Implements oofem::FEInterpolation3d.

Definition at line 400 of file fei3dhexalin.C.

References computeLocalEdgeMapping(), and edgeComputeLength().

◆ edgeLocal2global()

void oofem::FEI3dHexaLin::edgeLocal2global	(	FloatArray &	answer,
		int	iedge,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

overridevirtual

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.
iedge	Determines edge number.
lcoords	Array containing (local) coordinates.
cellgeo	Underlying cell geometry.

Implements oofem::FEInterpolation3d.

Definition at line 382 of file fei3dhexalin.C.

References oofem::FloatArray::at(), computeLocalEdgeMapping(), edgeEvalN(), oofem::FEICellGeometry::giveVertexCoordinates(), and oofem::FloatArray::resize().

◆ evaldNdx() [1/2]

std::pair< double, FloatMatrixF< 3, 8 > > oofem::FEI3dHexaLin::evaldNdx	(	const FloatArrayF< 3 > &	lcoords,
		const FEICellGeometry &	cellgeo )

static

Todo: cellgeo should give a FloatArrayF<3>, this will add a "costly" construction now:

Definition at line 170 of file fei3dhexalin.C.

References oofem::det(), oofem::dot(), oofem::dotT(), evaldNdxi(), oofem::FEICellGeometry::giveVertexCoordinates(), oofem::inv(), and oofem::FloatMatrixF< N, M >::setColumn().

Referenced by evaldNdx(), and surfaceEvaldNdx().

◆ evaldNdx() [2/2]

double oofem::FEI3dHexaLin::evaldNdx	(	FloatMatrix &	answer,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

overridevirtual

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.

Implements oofem::FEInterpolation.

Definition at line 184 of file fei3dhexalin.C.

References oofem::FloatMatrix::beProductOf(), evaldNdx(), evaldNdxi(), oofem::FloatMatrix::giveDeterminant(), oofem::FEICellGeometry::giveVertexCoordinates(), oofem::inv(), oofem::FloatMatrix::resize(), and oofem::FloatMatrix::setColumn().

◆ evaldNdxi() [1/2]

FloatMatrixF< 3, 8 > oofem::FEI3dHexaLin::evaldNdxi ( const FloatArrayF< 3 > & lcoords )

static

Definition at line 91 of file fei3dhexalin.C.

References oofem::FloatArrayF< N >::at().

Referenced by evaldNdx(), evaldNdx(), evaldNdxi(), and giveJacobianMatrixAt().

◆ evaldNdxi() [2/2]

void oofem::FEI3dHexaLin::evaldNdxi	(	FloatMatrix &	answer,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

overridevirtual

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 from oofem::FEInterpolation.

Definition at line 127 of file fei3dhexalin.C.

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

◆ evalN() [1/2]

FloatArrayF< 8 > oofem::FEI3dHexaLin::evalN ( const FloatArrayF< 3 > & lcoords )

static

auto [x, y, z] = lcoords; // structured bindings C++17 would be nice.

Definition at line 46 of file fei3dhexalin.C.

Referenced by evalN(), and local2global().

◆ evalN() [2/2]

void oofem::FEI3dHexaLin::evalN	(	FloatArray &	answer,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

overridevirtual

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.

Implements oofem::FEInterpolation.

Definition at line 67 of file fei3dhexalin.C.

References evalN(), and oofem::Vec8().

◆ evalNXIntegral()

double oofem::FEI3dHexaLin::evalNXIntegral	(	int	boundary,
		const FEICellGeometry &	cellgeo ) const

overridevirtual

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::FEInterpolation.

Definition at line 628 of file fei3dhexalin.C.

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

◆ giveBoundaryEdgeIntegrationDomain()

integrationDomain oofem::FEI3dHexaLin::giveBoundaryEdgeIntegrationDomain	(	int	boundary,
		const Element_Geometry_Type	) const

inlineoverridevirtual

Returns boundary integration domain.

Implements oofem::FEInterpolation.

Definition at line 56 of file fei3dhexalin.h.

References oofem::_Line.

◆ giveBoundaryGeometryType()

const Element_Geometry_Type oofem::FEI3dHexaLin::giveBoundaryGeometryType ( int boundary ) const

inlineoverridevirtual

Returns boundary geometry type

Implements oofem::FEInterpolation.

Definition at line 52 of file fei3dhexalin.h.

◆ giveBoundaryIntegrationDomain()

integrationDomain oofem::FEI3dHexaLin::giveBoundaryIntegrationDomain	(	int	boundary,
		const Element_Geometry_Type	) const

inlineoverridevirtual

Returns boundary integration domain.

Implements oofem::FEInterpolation.

Definition at line 54 of file fei3dhexalin.h.

References oofem::_Square.

◆ giveBoundaryIntegrationRule()

std::unique_ptr< IntegrationRule > oofem::FEI3dHexaLin::giveBoundaryIntegrationRule	(	int	order,
		int	boundary,
		const Element_Geometry_Type	egt ) const

overridevirtual

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 from oofem::FEInterpolation.

Definition at line 654 of file fei3dhexalin.C.

References oofem::_Square, and oofem::FEInterpolation::order.

◆ giveBoundarySurfaceIntegrationDomain()

integrationDomain oofem::FEI3dHexaLin::giveBoundarySurfaceIntegrationDomain	(	int	boundary,
		const Element_Geometry_Type	) const

inlineoverridevirtual

Returns boundary integration domain.

Implements oofem::FEInterpolation.

Definition at line 55 of file fei3dhexalin.h.

References oofem::_Square.

◆ giveCellDofMans()

void oofem::FEI3dHexaLin::giveCellDofMans	(	IntArray &	nodes,
		IntArray &	internalDofMans,
		Element *	elem ) const

inlineoverridevirtual

Returns list of element nodes (and list of internal dof managers) (including on edges and surfaces) defining the approximation.

Returns local element node numbers defining the approximation. Typically this corresponds to all element nodes. But for elements with mixed interpolation, we need to select subset of nodes (quadratic triangle with linear interpolation). This method can query element geometry type (from given element) and compile the nodal set.

Note: Required by mpm module

Reimplemented from oofem::FEInterpolation.

Definition at line 69 of file fei3dhexalin.h.

◆ giveGeometryType()

const Element_Geometry_Type oofem::FEI3dHexaLin::giveGeometryType ( ) const

inlineoverridevirtual

Returns the geometry type fo the interpolator.

Implements oofem::FEInterpolation.

Definition at line 51 of file fei3dhexalin.h.

◆ giveIntegrationDomain()

integrationDomain oofem::FEI3dHexaLin::giveIntegrationDomain ( const Element_Geometry_Type ) const

inlineoverridevirtual

Returns the integration domain of the interpolator.

Implements oofem::FEInterpolation.

Definition at line 50 of file fei3dhexalin.h.

References oofem::_Cube.

◆ giveIntegrationRule()

std::unique_ptr< IntegrationRule > oofem::FEI3dHexaLin::giveIntegrationRule	(	int	order,
		const Element_Geometry_Type	egt ) const

overridevirtual

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 from oofem::FEInterpolation.

Definition at line 645 of file fei3dhexalin.C.

References oofem::_Cube, and oofem::FEInterpolation::order.

◆ giveJacobianMatrixAt()

void oofem::FEI3dHexaLin::giveJacobianMatrixAt	(	FloatMatrix &	jacobianMatrix,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

overridevirtual

Gives the jacobian matrix at the local coordinates.

Parameters

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

Reimplemented from oofem::FEInterpolation.

Definition at line 614 of file fei3dhexalin.C.

References evaldNdxi(), oofem::FloatMatrix::resize(), and oofem::FloatMatrix::setColumn().

◆ giveNumberOfNodes()

int oofem::FEI3dHexaLin::giveNumberOfNodes ( const Element_Geometry_Type ) const

inlineoverridevirtual

Returns the number of geometric nodes of the receiver.

Reimplemented from oofem::FEInterpolation.

Definition at line 68 of file fei3dhexalin.h.

◆ global2local()

int oofem::FEI3dHexaLin::global2local	(	FloatArray &	answer,
		const FloatArray &	gcoords,
		const FEICellGeometry &	cellgeo ) const

overridevirtual

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

answer	Contains evaluated local coordinates.
gcoords	Array containing global coordinates.
cellgeo	Underlying cell geometry.

Returns: Nonzero is returned if point is within the element geometry, zero otherwise.

Implements oofem::FEInterpolation.

Definition at line 222 of file fei3dhexalin.C.

References oofem::FloatArray::at(), oofem::FloatMatrix::at(), oofem::FEICellGeometry::giveVertexCoordinates(), POINT_TOL, oofem::FloatArray::resize(), oofem::FloatMatrix::solveForRhs(), oofem::FloatArray::subtract(), and oofem::FloatArray::zero().

◆ local2global()

void oofem::FEI3dHexaLin::local2global	(	FloatArray &	answer,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

overridevirtual

Evaluates global coordinates from given local ones.

Parameters

answer	Contains resulting global coordinates.
lcoords	Array containing (local) coordinates.
cellgeo	Underlying cell geometry.

Implements oofem::FEInterpolation.

Definition at line 208 of file fei3dhexalin.C.

References oofem::FloatArray::add(), oofem::FloatArray::at(), oofem::FloatArray::clear(), evalN(), and oofem::FEICellGeometry::giveVertexCoordinates().

◆ surfaceEvaldNdx()

void oofem::FEI3dHexaLin::surfaceEvaldNdx	(	FloatMatrix &	answer,
		int	isurf,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

overridevirtual

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.

Note: Nodal, surface, edge ordering on this class is a mess. No consistency or rules. Have to convert surface->volume coords manually:

Reimplemented from oofem::FEInterpolation3d.

Definition at line 460 of file fei3dhexalin.C.

References oofem::FloatArray::at(), oofem::FloatMatrix::at(), computeLocalSurfaceMapping(), evaldNdx(), OOFEM_ERROR, oofem::FloatMatrix::resize(), and oofem::Vec3().

◆ surfaceEvaldNdxi()

void oofem::FEI3dHexaLin::surfaceEvaldNdxi	(	FloatMatrix &	answer,
		const FloatArray &	lcoords ) const

overridevirtual

Evaluates the matrix of derivatives of surface interpolation functions (shape functions) wrt parametric coordinates at given point.

Parameters

answer	Contains resulting matrix of derivatives, the member at i,j position contains value of dNj/dxi.
lcoords	Array containing (local) coordinates.

Reimplemented from oofem::FEInterpolation.

Definition at line 569 of file fei3dhexalin.C.

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

◆ surfaceEvalN()

void oofem::FEI3dHexaLin::surfaceEvalN	(	FloatArray &	answer,
		int	isurf,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

overridevirtual

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.

Implements oofem::FEInterpolation3d.

Definition at line 447 of file fei3dhexalin.C.

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

Referenced by surfaceLocal2global().

◆ surfaceEvalNormal()

double oofem::FEI3dHexaLin::surfaceEvalNormal	(	FloatArray &	answer,
		int	isurf,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

overridevirtual

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::FEInterpolation3d.

Definition at line 532 of file fei3dhexalin.C.

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

Referenced by surfaceGiveTransformationJacobian().

◆ surfaceGiveTransformationJacobian()

double oofem::FEI3dHexaLin::surfaceGiveTransformationJacobian	(	int	isurf,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

overridevirtual

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.

Implements oofem::FEInterpolation3d.

Definition at line 561 of file fei3dhexalin.C.

References surfaceEvalNormal().

◆ surfaceLocal2global()

void oofem::FEI3dHexaLin::surfaceLocal2global	(	FloatArray &	answer,
		int	isurf,
		const FloatArray &	lcoords,
		const FEICellGeometry &	cellgeo ) const

overridevirtual

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.

Implements oofem::FEInterpolation3d.

Definition at line 514 of file fei3dhexalin.C.

References oofem::FloatArray::at(), computeLocalSurfaceMapping(), oofem::FEICellGeometry::giveVertexCoordinates(), oofem::FloatArray::resize(), and surfaceEvalN().

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

Public Member Functions

Static Public Member Functions

Protected Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ FEI3dHexaLin()

Member Function Documentation

◆ computeLocalEdgeMapping()

◆ computeLocalSurfaceMapping()

◆ edgeComputeLength()

◆ edgeEvaldNdx()

◆ edgeEvaldNdxi()

◆ edgeEvalN()

◆ edgeGiveTransformationJacobian()

◆ edgeLocal2global()

◆ evaldNdx() [1/2]

◆ evaldNdx() [2/2]

◆ evaldNdxi() [1/2]

◆ evaldNdxi() [2/2]

◆ evalN() [1/2]

◆ evalN() [2/2]

◆ evalNXIntegral()

◆ giveBoundaryEdgeIntegrationDomain()

◆ giveBoundaryGeometryType()

◆ giveBoundaryIntegrationDomain()

◆ giveBoundaryIntegrationRule()

◆ giveBoundarySurfaceIntegrationDomain()

◆ giveCellDofMans()

◆ giveGeometryType()

◆ giveIntegrationDomain()

◆ giveIntegrationRule()

◆ giveJacobianMatrixAt()

◆ giveNumberOfNodes()

◆ global2local()

◆ local2global()

◆ surfaceEvaldNdx()

◆ surfaceEvaldNdxi()

◆ surfaceEvalN()

◆ surfaceEvalNormal()

◆ surfaceGiveTransformationJacobian()

◆ surfaceLocal2global()