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OOFEM 3.0
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#include <fei3dhexaconst.h>
Public Member Functions | |
| FEI3dHexaConst () | |
| 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 | 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 | 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 |
| 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 | evaldNdxi (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 void | giveJacobianMatrixAt (FloatMatrix &jacobianMatrix, const FloatArray &lcoords, const FEICellGeometry &cellgeo) const |
| 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 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 |
Protected Member Functions | |
| double | edgeComputeLength (const IntArray &edgeNodes, const FEICellGeometry &cellgeo) const |
Additional Inherited Members | |
| Protected Attributes inherited from oofem::FEInterpolation | |
| int | order = 0 |
Class representing implementation of hexahedra constant interpolation class.
Definition at line 45 of file fei3dhexaconst.h.
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inline |
Definition at line 48 of file fei3dhexaconst.h.
References oofem::FEInterpolation3d::FEInterpolation3d().
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overridevirtual |
Implements oofem::FEInterpolation3d.
Definition at line 245 of file fei3dhexaconst.C.
Referenced by edgeGiveTransformationJacobian().
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overridevirtual |
Implements oofem::FEInterpolation3d.
Definition at line 317 of file fei3dhexaconst.C.
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protected |
Definition at line 278 of file fei3dhexaconst.C.
References oofem::IntArray::at(), oofem::distance(), and oofem::FEICellGeometry::giveVertexCoordinates().
Referenced by edgeGiveTransformationJacobian().
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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)
| 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 211 of file fei3dhexaconst.C.
References oofem::FloatMatrix::resize(), and oofem::FloatMatrix::zero().
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overridevirtual |
Evaluates the matrix of derivatives of edge interpolation functions (shape functions) at given point. These derivatives are in local (parent) coordinate system
| 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 220 of file fei3dhexaconst.C.
References oofem::FloatArray::resize().
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overridevirtual |
Evaluates the array of edge interpolation functions (shape functions) at given point.
| 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 205 of file fei3dhexaconst.C.
References oofem::Vec1().
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overridevirtual |
Evaluates the edge jacobian of transformation between local and global coordinates.
| iedge | Determines edge number. |
| lcoords | Array containing (local) coordinates. |
| cellgeo | Underlying cell geometry. |
Implements oofem::FEInterpolation3d.
Definition at line 237 of file fei3dhexaconst.C.
References computeLocalEdgeMapping(), and edgeComputeLength().
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overridevirtual |
Evaluates edge global coordinates from given local ones. These derivatives are in global coordinate system (where the nodal coordinates are defined).
| answer | Contains resulting global coordinates. |
| iedge | Determines edge number. |
| lcoords | Array containing (local) coordinates. |
| cellgeo | Underlying cell geometry. |
Implements oofem::FEInterpolation3d.
Definition at line 229 of file fei3dhexaconst.C.
References OOFEM_ERROR.
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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)
| 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. |
Implements oofem::FEInterpolation.
Definition at line 55 of file fei3dhexaconst.C.
References oofem::FloatMatrix::resize(), and oofem::FloatMatrix::zero().
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overridevirtual |
Evaluates the array of interpolation functions (shape functions) at given point.
| answer | Contains resulting array of evaluated interpolation functions. |
| lcoords | Array containing (local) coordinates. |
| cellgeo | Underlying cell geometry. |
Implements oofem::FEInterpolation.
Definition at line 48 of file fei3dhexaconst.C.
References oofem::Vec1().
Referenced by local2global().
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inlineoverridevirtual |
Returns boundary integration domain.
Implements oofem::FEInterpolation.
Definition at line 56 of file fei3dhexaconst.h.
References oofem::_Line.
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inlineoverridevirtual |
Returns boundary geometry type
Implements oofem::FEInterpolation.
Definition at line 52 of file fei3dhexaconst.h.
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inlineoverridevirtual |
Returns boundary integration domain.
Implements oofem::FEInterpolation.
Definition at line 54 of file fei3dhexaconst.h.
References oofem::_Square.
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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.
| order | Polynomial order of the integrand (should NOT including determinant of jacobian). |
| boundary | Boundary number. |
Reimplemented from oofem::FEInterpolation.
Definition at line 346 of file fei3dhexaconst.C.
References oofem::_Square, and oofem::FEInterpolation::order.
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inlineoverridevirtual |
Returns boundary integration domain.
Implements oofem::FEInterpolation.
Definition at line 55 of file fei3dhexaconst.h.
References oofem::_Square.
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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.
Reimplemented from oofem::FEInterpolation.
Definition at line 64 of file fei3dhexaconst.h.
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inlineoverridevirtual |
Returns the geometry type fo the interpolator.
Implements oofem::FEInterpolation.
Definition at line 51 of file fei3dhexaconst.h.
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inlineoverridevirtual |
Returns the integration domain of the interpolator.
Implements oofem::FEInterpolation.
Definition at line 50 of file fei3dhexaconst.h.
References oofem::_Cube.
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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.
| order | Polynomial order of integrand (should NOT including determinant of jacobian). |
Reimplemented from oofem::FEInterpolation.
Definition at line 337 of file fei3dhexaconst.C.
References oofem::_Cube, and oofem::FEInterpolation::order.
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inlineoverridevirtual |
Returns the number of geometric nodes of the receiver.
Reimplemented from oofem::FEInterpolation.
Definition at line 63 of file fei3dhexaconst.h.
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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.
| answer | Contains evaluated local coordinates. |
| gcoords | Array containing global coordinates. |
| cellgeo | Underlying cell geometry. |
Implements oofem::FEInterpolation.
Definition at line 77 of file fei3dhexaconst.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().
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overridevirtual |
Evaluates global coordinates from given local ones.
| answer | Contains resulting global coordinates. |
| lcoords | Array containing (local) coordinates. |
| cellgeo | Underlying cell geometry. |
Implements oofem::FEInterpolation.
Definition at line 63 of file fei3dhexaconst.C.
References oofem::FloatArray::add(), oofem::FloatArray::at(), oofem::FloatArray::clear(), evalN(), and oofem::FEICellGeometry::giveVertexCoordinates().
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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).
| 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. |
Reimplemented from oofem::FEInterpolation3d.
Definition at line 290 of file fei3dhexaconst.C.
References oofem::FloatMatrix::resize(), and oofem::FloatMatrix::zero().
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overridevirtual |
Evaluates the array of edge interpolation functions (shape functions) at given point.
| 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 284 of file fei3dhexaconst.C.
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overridevirtual |
Evaluates the normal out of the surface at given point.
| answer | Contains resulting normal vector. |
| isurf | Determines the surface number. |
| lcoords | Array containing (local) coordinates. |
| cellgeo | Underlying cell geometry. |
Reimplemented from oofem::FEInterpolation3d.
Definition at line 304 of file fei3dhexaconst.C.
References OOFEM_ERROR.
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overridevirtual |
Evaluates the edge jacobian of transformation between local and global coordinates.
| isurf | Determines the surface number. |
| lcoords | Array containing (local) coordinates. |
| cellgeo | Underlying cell geometry. |
Implements oofem::FEInterpolation3d.
Definition at line 310 of file fei3dhexaconst.C.
References OOFEM_ERROR.
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overridevirtual |
Evaluates edge global coordinates from given local ones. These derivatives are in global coordinate system (where the nodal coordinates are defined).
| 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 297 of file fei3dhexaconst.C.
References OOFEM_ERROR.