OOFEM 3.0
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oofem::FEI3dTrQuad Class Reference

#include <fei3dtrquad.h>

Inheritance diagram for oofem::FEI3dTrQuad:
Collaboration diagram for oofem::FEI3dTrQuad:

Public Member Functions

 FEI3dTrQuad ()
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 giveJacobianMatrixAt (FloatMatrix &jacobianMatrix, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
void evaldNdxi (FloatMatrix &answer, 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
void giveDerivativeXi (FloatArray &n, const FloatArray &lcoords) const
void giveDerivativeEta (FloatArray &n, const FloatArray &lcoords) const
void giveLocalNodeCoords (FloatMatrix &answer, const Element_Geometry_Type) const override
void surfaceEvaldNdxi (FloatMatrix &answer, const FloatArray &lcoords) const override
void edgeEvalN (FloatArray &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 edgeEvaldNdx (FloatMatrix &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
int giveNumberOfEdges (const Element_Geometry_Type) 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
double surfaceEvalNormal (FloatArray &answer, int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
void surfaceLocal2global (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 surfaceEvalBaseVectorsAt (FloatArray &G1, FloatArray &G2, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const
void surfaceGiveJacobianMatrixAt (FloatMatrix &jacobianMatrix, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const
std::unique_ptr< IntegrationRulegiveIntegrationRule (int order, const Element_Geometry_Type) const override
std::unique_ptr< IntegrationRulegiveBoundaryIntegrationRule (int order, int boundary, const Element_Geometry_Type) const override
double giveArea (const FEICellGeometry &cellgeo) const
int giveNumberOfNodes (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< IntegrationRulegiveBoundaryEdgeIntegrationRule (int order, int boundary, const Element_Geometry_Type) const override
std::unique_ptr< IntegrationRulegiveBoundaryIntegrationRule (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 giveCellDofMans (IntArray &nodes, IntArray &internalDofMans, Element *elem) const
 Returns list of element nodes (and list of internal dof managers) (including on edges and surfaces) defining the approximation.
virtual void evald2Ndx2 (FloatMatrix &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const
virtual double giveTransformationJacobian (const FloatArray &lcoords, const FEICellGeometry &cellgeo) const
virtual std::unique_ptr< IntegrationRulegiveBoundarySurfaceIntegrationRule (int order, int boundary, const Element_Geometry_Type) const
virtual double evalNXIntegral (int boundary, const FEICellGeometry &cellgeo) const
virtual int giveKnotSpanBasisFuncMask (const IntArray &knotSpan, IntArray &mask) const
virtual int giveNumberOfKnotSpanBasisFunctions (const IntArray &knotSpan) const
virtual bool hasSubPatchFormulation () const
virtual const FloatArraygiveKnotVector () const
virtual int giveNumberOfKnotSpans (int dim) const
virtual const FloatArraygiveKnotValues (int dim) const
virtual const IntArraygiveKnotMultiplicity (int dim) const
virtual void initializeCell (Element *e) const
std::string errorInfo (const char *func) const

Protected Member Functions

double edgeComputeLength (const IntArray &edgeNodes, const FEICellGeometry &cellgeo) const
double computeVolume (const FEICellGeometry &cellgeo) const

Additional Inherited Members

Protected Attributes inherited from oofem::FEInterpolation
int order = 0

Detailed Description

Second order triangular interpolation in 3D space (6 nodes).

Todo
This class is entirely unchecked.
Author
Jim Brouzoulis
Mikael Öhman

Definition at line 47 of file fei3dtrquad.h.

Constructor & Destructor Documentation

◆ FEI3dTrQuad()

oofem::FEI3dTrQuad::FEI3dTrQuad ( )
inline

Definition at line 50 of file fei3dtrquad.h.

References oofem::FEInterpolation3d::FEInterpolation3d().

Member Function Documentation

◆ computeLocalEdgeMapping()

IntArray oofem::FEI3dTrQuad::computeLocalEdgeMapping ( int iedge) const
overridevirtual

◆ computeLocalSurfaceMapping()

IntArray oofem::FEI3dTrQuad::computeLocalSurfaceMapping ( int iedge) const
overridevirtual
Todo
  • fix wrt xfem

Implements oofem::FEInterpolation3d.

Definition at line 377 of file fei3dtrquad.C.

References computeLocalEdgeMapping().

◆ computeVolume()

double oofem::FEI3dTrQuad::computeVolume ( const FEICellGeometry & cellgeo) const
protected

◆ edgeComputeLength()

double oofem::FEI3dTrQuad::edgeComputeLength ( const IntArray & edgeNodes,
const FEICellGeometry & cellgeo ) const
protected
Todo
Implement this

Definition at line 260 of file fei3dtrquad.C.

References OOFEM_ERROR.

◆ edgeEvaldNdx()

void oofem::FEI3dTrQuad::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
answerContains resulting matrix of derivatives, the member at i,j position contains value of dNj/dxi.
iedgeDetermines the edge number.
lcoordsArray containing (local) coordinates.
cellgeoUnderlying cell geometry.

Implements oofem::FEInterpolation3d.

Definition at line 200 of file fei3dtrquad.C.

References OOFEM_ERROR.

◆ edgeEvaldNdxi()

void oofem::FEI3dTrQuad::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
answerContains resulting matrix of derivatives, the member at i,j position contains value of dN_j/dxi_i.
iedgeDetermines the edge number.
lcoordsArray containing (local) coordinates.
cellgeoUnderlying cell geometry.

Reimplemented from oofem::FEInterpolation3d.

Definition at line 207 of file fei3dtrquad.C.

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

◆ edgeEvalN()

void oofem::FEI3dTrQuad::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
answerContains resulting array of evaluated interpolation functions.
iedgeEdge number.
lcoordsArray containing (local) coordinates.
cellgeoUnderlying cell geometry.

Implements oofem::FEInterpolation3d.

Definition at line 188 of file fei3dtrquad.C.

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

Referenced by edgeLocal2global().

◆ edgeGiveTransformationJacobian()

double oofem::FEI3dTrQuad::edgeGiveTransformationJacobian ( int iedge,
const FloatArray & lcoords,
const FEICellGeometry & cellgeo ) const
overridevirtual

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

Parameters
iedgeDetermines edge number.
lcoordsArray containing (local) coordinates.
cellgeoUnderlying cell geometry.
Returns
Determinant of the transformation.

Implements oofem::FEInterpolation3d.

Definition at line 232 of file fei3dtrquad.C.

References oofem::FloatArray::add(), oofem::FloatArray::at(), computeLocalEdgeMapping(), oofem::FloatArray::computeNorm(), and oofem::FEICellGeometry::giveVertexCoordinates().

◆ edgeLocal2global()

void oofem::FEI3dTrQuad::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
answerContains resulting global coordinates.
iedgeDetermines edge number.
lcoordsArray containing (local) coordinates.
cellgeoUnderlying cell geometry.

Implements oofem::FEInterpolation3d.

Definition at line 217 of file fei3dtrquad.C.

References oofem::FloatArray::add(), oofem::FloatArray::clear(), computeLocalEdgeMapping(), edgeEvalN(), oofem::FEICellGeometry::giveVertexCoordinates(), and N.

◆ evaldNdx()

double oofem::FEI3dTrQuad::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
answerContains resulting matrix of derivatives, the member at i,j position contains value of dNi/dxj.
lcoordsArray containing (local) coordinates.
cellgeoUnderlying cell geometry.
Returns
Determinant of the Jacobian.

Implements oofem::FEInterpolation.

Definition at line 50 of file fei3dtrquad.C.

References OOFEM_ERROR.

◆ evaldNdxi()

void oofem::FEI3dTrQuad::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
answerContains resulting matrix of derivatives, the member at i,j position contains value of dNi/dxij.
lcoordsArray containing (local) coordinates.
cellgeoUnderlying cell geometry.

Reimplemented from oofem::FEInterpolation.

Definition at line 58 of file fei3dtrquad.C.

References surfaceEvaldNdxi().

◆ evalN()

void oofem::FEI3dTrQuad::evalN ( FloatArray & answer,
const FloatArray & lcoords,
const FEICellGeometry & cellgeo ) const
overridevirtual

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

Parameters
answerContains resulting array of evaluated interpolation functions.
lcoordsArray containing (local) coordinates.
cellgeoUnderlying cell geometry.

Implements oofem::FEInterpolation.

Definition at line 44 of file fei3dtrquad.C.

References surfaceEvalN().

Referenced by local2global().

◆ giveArea()

double oofem::FEI3dTrQuad::giveArea ( const FEICellGeometry & cellgeo) const
Todo
this only correct for a planar triangle in the xy-plane

Definition at line 405 of file fei3dtrquad.C.

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

◆ giveBoundaryEdgeIntegrationDomain()

integrationDomain oofem::FEI3dTrQuad::giveBoundaryEdgeIntegrationDomain ( int boundary,
const Element_Geometry_Type  ) const
inlineoverridevirtual

Returns boundary integration domain.

Implements oofem::FEInterpolation.

Definition at line 59 of file fei3dtrquad.h.

References oofem::_Line.

◆ giveBoundaryGeometryType()

const Element_Geometry_Type oofem::FEI3dTrQuad::giveBoundaryGeometryType ( int boundary) const
inlineoverridevirtual

Returns boundary geometry type

Implements oofem::FEInterpolation.

Definition at line 54 of file fei3dtrquad.h.

◆ giveBoundaryIntegrationDomain()

integrationDomain oofem::FEI3dTrQuad::giveBoundaryIntegrationDomain ( int boundary,
const Element_Geometry_Type  ) const
inlineoverridevirtual

Returns boundary integration domain.

Implements oofem::FEInterpolation.

Definition at line 57 of file fei3dtrquad.h.

References oofem::_Triangle.

◆ giveBoundaryIntegrationRule()

std::unique_ptr< IntegrationRule > oofem::FEI3dTrQuad::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
orderPolynomial order of the integrand (should NOT including determinant of jacobian).
boundaryBoundary number.
Todo
Not sure about what defines boundaries on these elements. 2 surfaces + 3 edges? Ask Jim about this.

Reimplemented from oofem::FEInterpolation.

Definition at line 396 of file fei3dtrquad.C.

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

◆ giveBoundarySurfaceIntegrationDomain()

integrationDomain oofem::FEI3dTrQuad::giveBoundarySurfaceIntegrationDomain ( int boundary,
const Element_Geometry_Type  ) const
inlineoverridevirtual

Returns boundary integration domain.

Implements oofem::FEInterpolation.

Definition at line 58 of file fei3dtrquad.h.

References oofem::_Triangle.

◆ giveDerivativeEta()

void oofem::FEI3dTrQuad::giveDerivativeEta ( FloatArray & n,
const FloatArray & lcoords ) const

Definition at line 84 of file fei3dtrquad.C.

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

Referenced by surfaceEvaldNdxi().

◆ giveDerivativeXi()

void oofem::FEI3dTrQuad::giveDerivativeXi ( FloatArray & n,
const FloatArray & lcoords ) const

Definition at line 65 of file fei3dtrquad.C.

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

Referenced by surfaceEvaldNdxi().

◆ giveGeometryType()

const Element_Geometry_Type oofem::FEI3dTrQuad::giveGeometryType ( ) const
inlineoverridevirtual

Returns the geometry type fo the interpolator.

Implements oofem::FEInterpolation.

Definition at line 53 of file fei3dtrquad.h.

◆ giveIntegrationDomain()

integrationDomain oofem::FEI3dTrQuad::giveIntegrationDomain ( const Element_Geometry_Type ) const
inlineoverridevirtual

Returns the integration domain of the interpolator.

Implements oofem::FEInterpolation.

Definition at line 52 of file fei3dtrquad.h.

References oofem::_Triangle.

◆ giveIntegrationRule()

std::unique_ptr< IntegrationRule > oofem::FEI3dTrQuad::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
orderPolynomial order of integrand (should NOT including determinant of jacobian).

Reimplemented from oofem::FEInterpolation.

Definition at line 387 of file fei3dtrquad.C.

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

◆ giveJacobianMatrixAt()

void oofem::FEI3dTrQuad::giveJacobianMatrixAt ( FloatMatrix & jacobianMatrix,
const FloatArray & lcoords,
const FEICellGeometry & cellgeo ) const
overridevirtual

Gives the jacobian matrix at the local coordinates.

Parameters
jacobianMatrixThe requested matrix.
lcoordsLocal coordinates.
cellgeoElement geometry.

Reimplemented from oofem::FEInterpolation.

Definition at line 181 of file fei3dtrquad.C.

References OOFEM_ERROR.

◆ giveLocalNodeCoords()

void oofem::FEI3dTrQuad::giveLocalNodeCoords ( FloatMatrix & answer,
const Element_Geometry_Type  ) const
overridevirtual

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

Reimplemented from oofem::FEInterpolation.

Definition at line 104 of file fei3dtrquad.C.

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

◆ giveNumberOfEdges()

int oofem::FEI3dTrQuad::giveNumberOfEdges ( const Element_Geometry_Type ) const
inlineoverridevirtual

Returns number of edges.

Reimplemented from oofem::FEInterpolation.

Definition at line 83 of file fei3dtrquad.h.

◆ giveNumberOfNodes()

int oofem::FEI3dTrQuad::giveNumberOfNodes ( const Element_Geometry_Type ) const
inlineoverridevirtual

Returns the number of geometric nodes of the receiver.

Reimplemented from oofem::FEInterpolation.

Definition at line 99 of file fei3dtrquad.h.

◆ global2local()

int oofem::FEI3dTrQuad::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
answerContains evaluated local coordinates.
gcoordsArray containing global coordinates.
cellgeoUnderlying cell geometry.
Returns
Nonzero is returned if point is within the element geometry, zero otherwise.
Todo
this is for linear triangle

Implements oofem::FEInterpolation.

Definition at line 139 of file fei3dtrquad.C.

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

◆ local2global()

void oofem::FEI3dTrQuad::local2global ( FloatArray & answer,
const FloatArray & lcoords,
const FEICellGeometry & cellgeo ) const
overridevirtual

Evaluates global coordinates from given local ones.

Parameters
answerContains resulting global coordinates.
lcoordsArray containing (local) coordinates.
cellgeoUnderlying cell geometry.

Implements oofem::FEInterpolation.

Definition at line 127 of file fei3dtrquad.C.

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

◆ surfaceEvalBaseVectorsAt()

void oofem::FEI3dTrQuad::surfaceEvalBaseVectorsAt ( FloatArray & G1,
FloatArray & G2,
const FloatArray & lcoords,
const FEICellGeometry & cellgeo ) const

◆ surfaceEvaldNdx()

void oofem::FEI3dTrQuad::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
answerContains resulting matrix of derivatives, the member at i,j position contains value of dNj/dxi.
isurfDetermines the surface number.
lcoordsArray containing (local) coordinates.
cellgeoUnderlying cell geometry.
Todo
Implement this

Reimplemented from oofem::FEInterpolation3d.

Definition at line 316 of file fei3dtrquad.C.

References OOFEM_ERROR.

◆ surfaceEvaldNdxi()

void oofem::FEI3dTrQuad::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
answerContains resulting matrix of derivatives, the member at i,j position contains value of dNj/dxi.
lcoordsArray containing (local) coordinates.

Reimplemented from oofem::FEInterpolation.

Definition at line 285 of file fei3dtrquad.C.

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

Referenced by evaldNdxi(), and surfaceEvalBaseVectorsAt().

◆ surfaceEvalN()

void oofem::FEI3dTrQuad::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
answerContains resulting array of evaluated interpolation functions.
isurfSurface number.
lcoordsArray containing (local) coordinates.
cellgeoUnderlying cell geometry.

Implements oofem::FEInterpolation3d.

Definition at line 268 of file fei3dtrquad.C.

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

Referenced by evalN(), and surfaceLocal2global().

◆ surfaceEvalNormal()

double oofem::FEI3dTrQuad::surfaceEvalNormal ( FloatArray & answer,
int isurf,
const FloatArray & lcoords,
const FEICellGeometry & cellgeo ) const
overridevirtual

Evaluates the normal out of the surface at given point.

Parameters
answerContains resulting normal vector.
isurfDetermines the surface number.
lcoordsArray containing (local) coordinates.
cellgeoUnderlying cell geometry.
Returns
Surface mapping jacobian.

Reimplemented from oofem::FEInterpolation3d.

Definition at line 338 of file fei3dtrquad.C.

References oofem::FloatArray::beVectorProductOf(), oofem::FloatArray::computeNorm(), surfaceEvalBaseVectorsAt(), and oofem::FloatArray::times().

◆ surfaceGiveJacobianMatrixAt()

void oofem::FEI3dTrQuad::surfaceGiveJacobianMatrixAt ( FloatMatrix & jacobianMatrix,
const FloatArray & lcoords,
const FEICellGeometry & cellgeo ) const

◆ surfaceGiveTransformationJacobian()

double oofem::FEI3dTrQuad::surfaceGiveTransformationJacobian ( int isurf,
const FloatArray & lcoords,
const FEICellGeometry & cellgeo ) const
overridevirtual

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

Parameters
isurfDetermines the surface number.
lcoordsArray containing (local) coordinates.
cellgeoUnderlying cell geometry.
Returns
Determinant of the transformation.

Implements oofem::FEInterpolation3d.

Definition at line 370 of file fei3dtrquad.C.

References OOFEM_ERROR.

◆ surfaceLocal2global()

void oofem::FEI3dTrQuad::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
answerContains resulting global coordinates.
isurfDetermines the surface number.
lcoordsArray containing (local) coordinates.
cellgeoUnderlying cell geometry.

Implements oofem::FEInterpolation3d.

Definition at line 302 of file fei3dtrquad.C.

References oofem::FloatArray::add(), oofem::FloatArray::clear(), oofem::FEICellGeometry::giveVertexCoordinates(), N, and surfaceEvalN().


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

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