OOFEM
2.4
OOFEM.org - Object Oriented Finite Element Solver
|
Class representing a linear line interpolation in 3D. More...
#include <fei3dlinelin.h>
Public Member Functions | |
FEI3dLineLin () | |
virtual integrationDomain | giveIntegrationDomain () const |
Returns the integration domain of the interpolator. More... | |
virtual Element_Geometry_Type | giveGeometryType () const |
Returns the geometry type fo the interpolator. More... | |
virtual integrationDomain | giveBoundaryIntegrationDomain (int ib) const |
Returns boundary integration domain. More... | |
virtual integrationDomain | giveBoundarySurfaceIntegrationDomain (int isurf) const |
Returns boundary integration domain. More... | |
virtual integrationDomain | giveBoundaryEdgeIntegrationDomain (int iedge) const |
Returns boundary integration domain. More... | |
virtual double | giveVolume (const FEICellGeometry &cellgeo) const |
Computes the exact volume. More... | |
virtual double | giveLength (const FEICellGeometry &cellgeo) const |
virtual void | evalN (FloatArray &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo) |
Evaluates the array of interpolation functions (shape functions) at given point. More... | |
virtual double | evaldNdx (FloatMatrix &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo) |
Evaluates the matrix of derivatives of interpolation functions (shape functions) at given point. More... | |
virtual void | evald2Ndx2 (FloatMatrix &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo) |
Evaluates the matrix of second derivatives of interpolation functions (shape functions) at given point. More... | |
virtual void | local2global (FloatArray &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo) |
Evaluates global coordinates from given local ones. More... | |
virtual int | global2local (FloatArray &answer, const FloatArray &gcoords, const FEICellGeometry &cellgeo) |
Evaluates local coordinates from given global ones. More... | |
virtual double | giveTransformationJacobian (const FloatArray &lcoords, const FEICellGeometry &cellgeo) |
Evaluates the determinant of the transformation. More... | |
virtual void | edgeEvalN (FloatArray &answer, int iedge, const FloatArray &lcoords, const FEICellGeometry &cellgeo) |
Evaluates the array of edge interpolation functions (shape functions) at given point. More... | |
virtual void | edgeEvaldNdx (FloatMatrix &answer, int iedge, const FloatArray &lcoords, const FEICellGeometry &cellgeo) |
Evaluates the matrix of derivatives of edge interpolation functions (shape functions) at given point. More... | |
virtual void | edgeLocal2global (FloatArray &answer, int iedge, const FloatArray &lcoords, const FEICellGeometry &cellgeo) |
Evaluates edge global coordinates from given local ones. More... | |
virtual double | edgeGiveTransformationJacobian (int iedge, const FloatArray &lcoords, const FEICellGeometry &cellgeo) |
Evaluates the edge jacobian of transformation between local and global coordinates. More... | |
virtual void | computeLocalEdgeMapping (IntArray &edgeNodes, int iedge) |
virtual void | surfaceEvalN (FloatArray &answer, int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo) |
Evaluates the array of edge interpolation functions (shape functions) at given point. More... | |
virtual double | surfaceEvalNormal (FloatArray &answer, int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo) |
Evaluates the normal out of the surface at given point. More... | |
virtual void | surfaceLocal2global (FloatArray &answer, int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo) |
Evaluates edge global coordinates from given local ones. More... | |
virtual double | surfaceGiveTransformationJacobian (int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo) |
Evaluates the edge jacobian of transformation between local and global coordinates. More... | |
virtual void | computeLocalSurfaceMapping (IntArray &surfNodes, int isurf) |
virtual void | giveJacobianMatrixAt (FloatMatrix &jacobianMatrix, const FloatArray &lcoords, const FEICellGeometry &cellgeo) |
Gives the jacobian matrix at the local coordinates. More... | |
virtual int | giveNumberOfNodes () const |
Returns the number of geometric nodes of the receiver. More... | |
virtual IntegrationRule * | giveIntegrationRule (int order) |
Sets up a suitable integration rule for numerical integrating over volume. More... | |
virtual IntegrationRule * | giveBoundaryIntegrationRule (int order, int boundary) |
Sets up a suitable integration rule for integrating over the requested boundary. More... | |
Public Member Functions inherited from oofem::FEInterpolation3d | |
FEInterpolation3d (int o) | |
virtual int | giveNsd () |
Returns number of spatial dimensions. More... | |
virtual void | boundaryEdgeGiveNodes (IntArray &answer, int boundary) |
Gives the boundary nodes for requested boundary number. More... | |
virtual void | boundaryEdgeEvalN (FloatArray &answer, int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo) |
Evaluates the basis functions on the requested boundary. More... | |
virtual double | boundaryEdgeGiveTransformationJacobian (int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo) |
Evaluates the determinant of the transformation Jacobian on the requested boundary. More... | |
virtual void | boundaryEdgeLocal2Global (FloatArray &answer, int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo) |
Maps the local boundary coordinates to global. More... | |
virtual void | boundarySurfaceEvalN (FloatArray &answer, int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo) |
Evaluates the array of edge interpolation functions (shape functions) at given point. More... | |
virtual void | boundarySurfaceEvaldNdx (FloatMatrix &answer, int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo) |
Evaluates the matrix of derivatives of edge interpolation functions (shape functions) at given point. More... | |
virtual double | boundarySurfaceEvalNormal (FloatArray &answer, int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo) |
Evaluates the normal out of the surface at given point. More... | |
virtual void | boundarySurfaceLocal2global (FloatArray &answer, int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo) |
Evaluates edge global coordinates from given local ones. More... | |
virtual double | boundarySurfaceGiveTransformationJacobian (int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo) |
Evaluates the edge jacobian of transformation between local and global coordinates. More... | |
virtual void | boundaryGiveNodes (IntArray &answer, int boundary) |
Gives the boundary nodes for requested boundary number. More... | |
virtual void | boundaryEvalN (FloatArray &answer, int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo) |
Evaluates the basis functions on the requested boundary. More... | |
virtual double | boundaryEvalNormal (FloatArray &answer, int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo) |
Evaluates the normal on the requested boundary. More... | |
virtual double | boundaryGiveTransformationJacobian (int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo) |
Evaluates the determinant of the transformation Jacobian on the requested boundary. More... | |
virtual void | boundaryLocal2Global (FloatArray &answer, int boundary, const FloatArray &lcoords, const FEICellGeometry &cellgeo) |
Maps the local boundary coordinates to global. More... | |
virtual IntegrationRule * | giveBoundaryEdgeIntegrationRule (int order, int boundary) |
Sets up a suitable integration rule for integrating over the requested boundary. More... | |
virtual void | boundarySurfaceGiveNodes (IntArray &answer, int boundary) |
Gives the boundary nodes for requested boundary number. More... | |
virtual void | edgeEvaldNdxi (FloatArray &answer, int iedge, const FloatArray &lcoords, const FEICellGeometry &cellgeo) |
Evaluates the matrix of derivatives of edge interpolation functions (shape functions) at given point. More... | |
void | computeEdgeMapping (IntArray &edgeNodes, IntArray &elemNodes, int iedge) |
virtual void | surfaceEvaldNdx (FloatMatrix &answer, int isurf, const FloatArray &lcoords, const FEICellGeometry &cellgeo) |
Evaluates the matrix of derivatives of edge interpolation functions (shape functions) at given point. More... | |
void | computeSurfaceMapping (IntArray &surfNodes, IntArray &elemNodes, int isurf) |
Public Member Functions inherited from oofem::FEInterpolation | |
FEInterpolation (int o) | |
virtual | ~FEInterpolation () |
virtual IRResultType | initializeFrom (InputRecord *ir) |
Initializes receiver according to object description stored in input record. More... | |
std::string | errorInfo (const char *func) const |
int | giveInterpolationOrder () |
Returns the interpolation order. More... | |
virtual void | evaldNdxi (FloatMatrix &answer, const FloatArray &lcoords, const FEICellGeometry &cellgeo) |
Evaluates the matrix of derivatives of interpolation functions (shape functions) at given point. More... | |
virtual void | giveLocalNodeCoords (FloatMatrix &answer) |
Returns a matrix containing the local coordinates for each node corresponding to the interpolation. More... | |
virtual IntegrationRule * | giveBoundarySurfaceIntegrationRule (int order, int boundary) |
Sets up a suitable integration rule for integrating over the requested boundary. More... | |
virtual double | evalNXIntegral (int boundary, const FEICellGeometry &cellgeo) |
Computes the integral . More... | |
virtual int | giveKnotSpanBasisFuncMask (const IntArray &knotSpan, IntArray &mask) |
Returns indices (zero based) of nonzero basis functions for given knot span. More... | |
virtual int | giveNumberOfKnotSpanBasisFunctions (const IntArray &knotSpan) |
Returns the number of nonzero basis functions at individual knot span,. More... | |
virtual bool | hasSubPatchFormulation () |
Returns true, if receiver is formulated on sub-patch basis. More... | |
virtual const double *const * | giveKnotVector () |
Returns the subdivision of patch parametric space. More... | |
virtual int | giveNumberOfKnotSpans (int dim) |
Returns the number of knot spans of the receiver. More... | |
virtual const FloatArray * | giveKnotValues (int dim) |
Returns the knot values of the receiver. More... | |
virtual const IntArray * | giveKnotMultiplicity (int dim) |
Returns the knot multiplicity of the receiver. More... | |
virtual int | giveNumberOfEdges () const |
Returns number of edges. More... | |
Additional Inherited Members | |
Protected Attributes inherited from oofem::FEInterpolation | |
int | order |
Class representing a linear line interpolation in 3D.
Definition at line 44 of file fei3dlinelin.h.
|
inline |
Definition at line 47 of file fei3dlinelin.h.
|
virtual |
Implements oofem::FEInterpolation3d.
Definition at line 151 of file fei3dlinelin.C.
References OOFEM_ERROR.
|
virtual |
Implements oofem::FEInterpolation3d.
Definition at line 188 of file fei3dlinelin.C.
References OOFEM_ERROR.
|
virtual |
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 125 of file fei3dlinelin.C.
References oofem::FloatMatrix::at(), giveLength(), and oofem::FloatMatrix::resize().
|
virtual |
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 119 of file fei3dlinelin.C.
References evalN().
|
virtual |
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 144 of file fei3dlinelin.C.
References giveTransformationJacobian().
|
virtual |
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 136 of file fei3dlinelin.C.
References local2global().
|
virtual |
Evaluates the matrix of second 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. |
Reimplemented from oofem::FEInterpolation.
Definition at line 80 of file fei3dlinelin.C.
References oofem::FloatMatrix::resize(), and oofem::FloatMatrix::zero().
|
virtual |
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 59 of file fei3dlinelin.C.
References oofem::FloatArray::at(), oofem::FloatMatrix::at(), oofem::FloatArray::beDifferenceOf(), oofem::FloatArray::computeSquaredNorm(), oofem::FEICellGeometry::giveVertexCoordinates(), and oofem::FloatMatrix::resize().
Referenced by oofem::Truss3d::computeBmatrixAt().
|
virtual |
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 49 of file fei3dlinelin.C.
References oofem::FloatArray::at(), and oofem::FloatArray::resize().
Referenced by oofem::LineDistributedSpring::computeBmatrixAt(), oofem::Truss3d::computeNmatrixAt(), and edgeEvalN().
|
inlinevirtual |
Returns boundary integration domain.
Implements oofem::FEInterpolation.
Definition at line 53 of file fei3dlinelin.h.
References oofem::_UnknownIntegrationDomain.
|
inlinevirtual |
Returns boundary integration domain.
Implements oofem::FEInterpolation.
Definition at line 51 of file fei3dlinelin.h.
References oofem::_Point.
|
virtual |
Sets up a suitable integration rule for integrating over the requested boundary.
The required polynomial order for the determinant of the jacobian is added automatically.
order | Polynomial order of the integrand (should NOT including determinant of jacobian). |
boundary | Boundary number. |
Reimplemented from oofem::FEInterpolation3d.
Definition at line 213 of file fei3dlinelin.C.
References OOFEM_ERROR.
|
inlinevirtual |
Returns boundary integration domain.
Implements oofem::FEInterpolation.
Definition at line 52 of file fei3dlinelin.h.
References oofem::_UnknownIntegrationDomain.
|
inlinevirtual |
Returns the geometry type fo the interpolator.
Implements oofem::FEInterpolation.
Definition at line 50 of file fei3dlinelin.h.
|
inlinevirtual |
Returns the integration domain of the interpolator.
Implements oofem::FEInterpolation.
Definition at line 49 of file fei3dlinelin.h.
References oofem::_Line.
|
virtual |
Sets up a suitable integration rule for numerical integrating over volume.
The required polynomial order for the determinant of the jacobian is added automatically.
order | Polynomial order of integrand (should NOT including determinant of jacobian). |
Reimplemented from oofem::FEInterpolation.
Definition at line 204 of file fei3dlinelin.C.
References oofem::_Line, oofem::IntegrationRule::getRequiredNumberOfIntegrationPoints(), and oofem::IntegrationRule::SetUpPointsOnLine().
|
virtual |
Gives the jacobian matrix at the local coordinates.
jacobianMatrix | The requested matrix. |
lcoords | Local coordinates. |
cellgeo | Element geometry. |
Reimplemented from oofem::FEInterpolation.
Definition at line 195 of file fei3dlinelin.C.
References oofem::FloatMatrix::at(), and oofem::FloatMatrix::resize().
|
virtual |
Definition at line 43 of file fei3dlinelin.C.
References oofem::FloatArray::distance(), and oofem::FEICellGeometry::giveVertexCoordinates().
Referenced by oofem::Truss3d::computeLength(), edgeEvaldNdx(), and giveTransformationJacobian().
|
inlinevirtual |
Returns the number of geometric nodes of the receiver.
Reimplemented from oofem::FEInterpolation.
Definition at line 80 of file fei3dlinelin.h.
|
virtual |
Evaluates the determinant of the transformation.
lcoords | Array containing (local) coordinates. |
cellgeo | Underlying cell geometry. |
Reimplemented from oofem::FEInterpolation.
Definition at line 112 of file fei3dlinelin.C.
References giveLength().
Referenced by oofem::Truss3d::computeEdgeVolumeAround(), oofem::Truss3d::computeVolumeAround(), oofem::LineDistributedSpring::computeVolumeAround(), and edgeGiveTransformationJacobian().
|
inlinevirtual |
Computes the exact volume.
cellgeo | Cell geometry for the element. |
Reimplemented from oofem::FEInterpolation3d.
Definition at line 56 of file fei3dlinelin.h.
|
virtual |
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 97 of file fei3dlinelin.C.
References oofem::FloatArray::at(), oofem::FloatArray::beDifferenceOf(), oofem::clamp(), oofem::FloatArray::computeSquaredNorm(), oofem::FloatArray::dotProduct(), and oofem::FEICellGeometry::giveVertexCoordinates().
|
virtual |
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 87 of file fei3dlinelin.C.
References oofem::FloatArray::add(), oofem::FloatArray::at(), oofem::FloatArray::beScaled(), and oofem::FEICellGeometry::giveVertexCoordinates().
Referenced by edgeLocal2global().
|
virtual |
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 160 of file fei3dlinelin.C.
References OOFEM_ERROR.
|
virtual |
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 166 of file fei3dlinelin.C.
References OOFEM_ERROR.
|
virtual |
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 180 of file fei3dlinelin.C.
References OOFEM_ERROR.
|
virtual |
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 173 of file fei3dlinelin.C.
References OOFEM_ERROR.