oofem::FEInterpolation1d Class Reference

#include <feinterpol1d.h>

Inheritance diagram for oofem::FEInterpolation1d:

Collaboration diagram for oofem::FEInterpolation1d:

Public Member Functions
	FEInterpolation1d (int o)
int	giveNsd (const Element_Geometry_Type) const override
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
const Element_Geometry_Type	giveBoundaryGeometryType (int boundary) const override
Surface interpolation services
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
IntArray	boundarySurfaceGiveNodes (int boundary, const Element_Geometry_Type, bool includeHierarchical=false) const override
Edge interpolation services
void	boundaryEdgeEvalN (FloatArray &answer, int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const override
double	boundaryEdgeEvalNormal (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
virtual double	giveLength (const FEICellGeometry &cellgeo) const
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
std::unique_ptr< IntegrationRule >	giveBoundaryEdgeIntegrationRule (int order, int boundary, const Element_Geometry_Type) 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)
virtual integrationDomain	giveIntegrationDomain (const Element_Geometry_Type) const =0
virtual const Element_Geometry_Type	giveGeometryType () const =0
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	evalN (FloatArray &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const =0
virtual double	evaldNdx (FloatMatrix &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const =0
virtual void	evald2Ndx2 (FloatMatrix &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const
virtual void	evaldNdxi (FloatMatrix &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const
virtual void	giveLocalNodeCoords (FloatMatrix &answer, const Element_Geometry_Type) const
virtual void	local2global (FloatArray &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const =0
virtual int	global2local (FloatArray &answer, const FloatArray &gcoords, const FEICellGeometry &cellgeo) const =0
virtual double	giveTransformationJacobian (const FloatArray &lcoords, const FEICellGeometry &cellgeo) const
virtual void	giveJacobianMatrixAt (FloatMatrix &jacobianMatrix, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const
virtual integrationDomain	giveBoundaryEdgeIntegrationDomain (int boundary, const Element_Geometry_Type) const =0
	Returns boundary integration domain.
virtual IntArray	boundaryEdgeGiveNodes (int boundary, const Element_Geometry_Type, bool includeHierarchical=false) const =0
virtual integrationDomain	giveBoundarySurfaceIntegrationDomain (int boundary, const Element_Geometry_Type) const =0
	Returns boundary integration domain.
virtual std::unique_ptr< IntegrationRule >	giveBoundarySurfaceIntegrationRule (int order, int boundary, const Element_Geometry_Type) const
virtual double	evalNXIntegral (int boundary, const FEICellGeometry &cellgeo) const
virtual integrationDomain	giveBoundaryIntegrationDomain (int boundary, const Element_Geometry_Type) const =0
	Returns boundary integration domain.
virtual void	surfaceEvaldNdxi (FloatMatrix &answer, const FloatArray &lcoords) const
virtual void	surfaceEvald2Ndxi2 (FloatMatrix &answer, const FloatArray &lcoords) 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 int	giveNumberOfNodes (const Element_Geometry_Type) const
virtual void	initializeCell (Element *e) const
std::string	errorInfo (const char *func) const

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

Detailed Description

Class representing a general abstraction for finite element interpolation class.

Definition at line 45 of file feinterpol1d.h.

Constructor & Destructor Documentation

FEInterpolation1d()

oofem::FEInterpolation1d::FEInterpolation1d ( int o )

inline

Definition at line 48 of file feinterpol1d.h.

References oofem::FEInterpolation::FEInterpolation().

Referenced by oofem::FEI1dHermite::FEI1dHermite(), oofem::FEI1dLin::FEI1dLin(), and oofem::FEI1dQuad::FEI1dQuad().

Member Function Documentation

boundaryEdgeEvalN()

void oofem::FEInterpolation1d::boundaryEdgeEvalN ( FloatArray & answer, int boundary, const FloatArray & lcoords, const FEICellGeometry & cellgeo ) const

inlineoverridevirtual

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

Implements oofem::FEInterpolation.

Definition at line 77 of file feinterpol1d.h.

References OOFEM_ERROR.

boundaryEdgeEvalNormal()

double oofem::FEInterpolation1d::boundaryEdgeEvalNormal ( FloatArray & answer, int boundary, const FloatArray & lcoords, const FEICellGeometry & cellgeo ) const

inlineoverridevirtual

Evaluates the normal out of the edge 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.

Implements oofem::FEInterpolation.

Definition at line 79 of file feinterpol1d.h.

References OOFEM_ERROR.

boundaryEdgeGiveTransformationJacobian()

double oofem::FEInterpolation1d::boundaryEdgeGiveTransformationJacobian ( int boundary, const FloatArray & lcoords, const FEICellGeometry & cellgeo ) const

inlineoverridevirtual

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.

Implements oofem::FEInterpolation.

Definition at line 81 of file feinterpol1d.h.

References OOFEM_ERROR.

boundaryEdgeLocal2Global()

void oofem::FEInterpolation1d::boundaryEdgeLocal2Global ( FloatArray & answer, int boundary, const FloatArray & lcoords, const FEICellGeometry & cellgeo ) const

inlineoverridevirtual

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.

Implements oofem::FEInterpolation.

Definition at line 83 of file feinterpol1d.h.

References OOFEM_ERROR.

boundaryEvalN()

void oofem::FEInterpolation1d::boundaryEvalN ( FloatArray & answer, int boundary, const FloatArray & lcoords, const FEICellGeometry & cellgeo ) const

overridevirtual

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.

Implements oofem::FEInterpolation.

Definition at line 43 of file feinterpol1d.C.

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

boundaryEvalNormal()

double oofem::FEInterpolation1d::boundaryEvalNormal ( FloatArray & answer, int boundary, const FloatArray & lcoords, const FEICellGeometry & cellgeo ) const

overridevirtual

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.

Implements oofem::FEInterpolation.

Definition at line 54 of file feinterpol1d.C.

References OOFEM_ERROR.

boundaryGiveNodes()

IntArray oofem::FEInterpolation1d::boundaryGiveNodes ( int boundary, const Element_Geometry_Type  ) const

overridevirtual

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.

Implements oofem::FEInterpolation.

Definition at line 49 of file feinterpol1d.C.

boundaryGiveTransformationJacobian()

double oofem::FEInterpolation1d::boundaryGiveTransformationJacobian ( int boundary, const FloatArray & lcoords, const FEICellGeometry & cellgeo ) const

overridevirtual

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.

Implements oofem::FEInterpolation.

Definition at line 59 of file feinterpol1d.C.

boundaryLocal2Global()

void oofem::FEInterpolation1d::boundaryLocal2Global ( FloatArray & answer, int boundary, const FloatArray & lcoords, const FEICellGeometry & cellgeo ) const

overridevirtual

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.

Implements oofem::FEInterpolation.

Definition at line 64 of file feinterpol1d.C.

References oofem::FEICellGeometry::giveVertexCoordinates().

boundarySurfaceEvaldNdx()

void oofem::FEInterpolation1d::boundarySurfaceEvaldNdx ( FloatMatrix & answer, int isurf, const FloatArray & lcoords, const FEICellGeometry & cellgeo ) const

inlineoverridevirtual

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.

Implements oofem::FEInterpolation.

Definition at line 64 of file feinterpol1d.h.

References OOFEM_ERROR.

boundarySurfaceEvalN()

void oofem::FEInterpolation1d::boundarySurfaceEvalN ( FloatArray & answer, int isurf, const FloatArray & lcoords, const FEICellGeometry & cellgeo ) const

inlineoverridevirtual

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::FEInterpolation.

Definition at line 62 of file feinterpol1d.h.

References OOFEM_ERROR.

boundarySurfaceEvalNormal()

double oofem::FEInterpolation1d::boundarySurfaceEvalNormal ( FloatArray & answer, int isurf, const FloatArray & lcoords, const FEICellGeometry & cellgeo ) const

inlineoverridevirtual

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.

Implements oofem::FEInterpolation.

Definition at line 66 of file feinterpol1d.h.

References OOFEM_ERROR.

boundarySurfaceGiveNodes()

IntArray oofem::FEInterpolation1d::boundarySurfaceGiveNodes ( int boundary, const Element_Geometry_Type , bool includeHierarchical = false ) const

inlineoverridevirtual

Gives the boundary nodes for requested boundary number.

Parameters

answer	Array to be filled with the boundary nodes.
boundary	Boundary number.
includeHierarchical	If true, include hierarchical nodes, introduced by interpolations on universal cells (mpm)

Implements oofem::FEInterpolation.

Definition at line 72 of file feinterpol1d.h.

boundarySurfaceGiveTransformationJacobian()

double oofem::FEInterpolation1d::boundarySurfaceGiveTransformationJacobian ( int isurf, const FloatArray & lcoords, const FEICellGeometry & cellgeo ) const

inlineoverridevirtual

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::FEInterpolation.

Definition at line 70 of file feinterpol1d.h.

References OOFEM_ERROR.

boundarySurfaceLocal2global()

void oofem::FEInterpolation1d::boundarySurfaceLocal2global ( FloatArray & answer, int isurf, const FloatArray & lcoords, const FEICellGeometry & cellgeo ) const

inlineoverridevirtual

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::FEInterpolation.

Definition at line 68 of file feinterpol1d.h.

References OOFEM_ERROR.

giveBoundaryEdgeIntegrationRule()

std::unique_ptr< IntegrationRule > oofem::FEInterpolation1d::giveBoundaryEdgeIntegrationRule ( 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 84 of file feinterpol1d.C.

References giveIntegrationRule(), and oofem::FEInterpolation::order.

giveBoundaryGeometryType()

const Element_Geometry_Type oofem::FEInterpolation1d::giveBoundaryGeometryType ( int boundary ) const

inlineoverridevirtual

Returns boundary geometry type

Implements oofem::FEInterpolation.

Definition at line 58 of file feinterpol1d.h.

giveBoundaryIntegrationRule()

std::unique_ptr< IntegrationRule > oofem::FEInterpolation1d::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 77 of file feinterpol1d.C.

References oofem::FEInterpolation::order.

giveIntegrationRule()

std::unique_ptr< IntegrationRule > oofem::FEInterpolation1d::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 69 of file feinterpol1d.C.

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

Referenced by giveBoundaryEdgeIntegrationRule().

giveLength()

virtual double oofem::FEInterpolation1d::giveLength ( const FEICellGeometry & cellgeo ) const

inlinevirtual

Computes the exact length.

Parameters

cellgeo

Cell geometry for the element.

Returns

Length of geometry.

Reimplemented in oofem::FEI1dHermite, oofem::FEI1dLin, and oofem::FEI1dQuad.

Definition at line 92 of file feinterpol1d.h.

References OOFEM_ERROR.

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

giveNsd()

int oofem::FEInterpolation1d::giveNsd ( const Element_Geometry_Type ) const

inlineoverridevirtual

Returns number of spatial dimensions.

Implements oofem::FEInterpolation.

Definition at line 49 of file feinterpol1d.h.

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

• feinterpol1d.h
• feinterpol1d.C