Driver for assembly of 1D Lagrange FE models. More...

#include <ASMs1DLag.h>

Inheritance diagram for ASMs1DLag:

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Collaboration diagram for ASMs1DLag:

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Public Member Functions
	ASMs1DLag (unsigned char n_s=1, unsigned char n_f=1)
	Default constructor.

	ASMs1DLag (const ASMs1DLag &patch, unsigned char n_f)
	Special copy constructor for sharing of FE data.

	ASMs1DLag (const ASMs1DLag &patch)
	Default copy constructor copying everything.

virtual	~ASMs1DLag ()
	Empty destructor.

virtual bool	write (std::ostream &os, int=0) const
	Writes the FEM basis to given stream.

virtual bool	generateOrientedFEModel (const Vec3 &Zaxis)
	Generates a beam finite element model for the patch. More...

virtual void	clear (bool retainGeometry=false)
	Clears the contents of the patch, making it empty. More...

virtual bool	getElementCoordinates (Matrix &X, int iel, bool=true) const
	Returns a matrix with nodal coordinates for an element. More...

virtual void	getNodalCoordinates (Matrix &X, bool=false) const
	Returns a matrix with all nodal coordinates within the patch. More...

virtual Vec3	getCoord (size_t inod) const
	Returns the global coordinates for the given node. More...

virtual Vec3	getElementCenter (int iel) const
	Returns the geometric center of an element.

virtual bool	updateCoords (const Vector &displ)
	Updates the nodal coordinates for this patch. More...

virtual bool	integrate (Integrand &integrand, GlobalIntegral &glbInt, const TimeDomain &time)
	Evaluates an integral over the interior patch domain. More...

virtual bool	integrate (Integrand &integrand, int lIndex, GlobalIntegral &glbInt, const TimeDomain &time)
	Evaluates a boundary integral over a patch end. More...

virtual int	evalPoint (const double xi, double param, Vec3 &X) const
	Evaluates the geometry at a specified point. More...

virtual bool	tesselate (ElementBlock &grid, const int *) const
	Creates a line element model of this patch for visualization. More...

virtual bool	evalSolution (Matrix &sField, const Vector &locSol, const int *, int, bool) const
	Evaluates the primary solution field at all visualization points. More...

virtual bool	evalSolution (Matrix &sField, const Vector &locSol, const RealArray *, bool, int, int) const
	Evaluates the primary solution field at the nodal points. More...

virtual bool	evalSolution (Matrix &sField, const IntegrandBase &integrand, const int *, char) const
	Evaluates the secondary solution field at all visualization points. More...

virtual bool	evalSolution (Matrix &sField, const IntegrandBase &integrand, const RealArray *, bool regular) const
	Evaluates the secondary solution field at the nodes/elements. More...

virtual int	getSize (int=0) const
	Returns the number of nodal points in the patch.

virtual IntMat	getElmNodes (int) const
	Returns the matrix of nodal point correspondance.

virtual bool	evalSolution (Matrix &sField, const Vector &locSol, const int *npe, int, bool) const
	Evaluates the primary solution field at all visualization points. More...

virtual bool	evalSolution (Matrix &sField, const Vector &locSol, const RealArray *gpar, bool=true, int deriv=0, int=0) const
	Evaluates the primary solution field at the given points. More...

virtual bool	evalSolution (Matrix &sField, const IntegrandBase &integrand, const int *npe=nullptr, char project=0) const
	Evaluates the secondary solution field at all visualization points. More...

virtual Go::GeomObject *	evalSolution (const IntegrandBase &integrand) const
	Projects the secondary solution field onto the primary basis. More...

virtual bool	evalSolution (Matrix &sField, const IntegrandBase &integrand, const RealArray *gpar, bool=true) const
	Evaluates the secondary solution field at the given points. More...

virtual int	getSize (int=0) const
	Returns the number of nodal points in the patch.

virtual bool	getSize (int &n1, int &n2, int &n3, int basis) const
	Returns the number of nodal points in each parameter direction. More...

Public Member Functions inherited from ASMs1D
	ASMs1D (unsigned char n_s=1, unsigned char n_f=1)
	Default constructor.

	ASMs1D (const ASMs1D &patch, unsigned char n_f=0)
	Copy constructor.

virtual	~ASMs1D ()
	Empty destructor.

Go::SplineCurve *	getCurve () const
	Returns the spline curve representing the geometry of this patch.

virtual bool	read (std::istream &)
	Creates an instance by reading the given input stream.

virtual bool	generateFEMTopology ()
	Generates the finite element topology data for the patch. More...

void	applyTwist (const RealFunc &twist)
	Applies a twist angle to the beam transformation matrices. More...

const Tensor &	getRotation (size_t inod) const
	Returns the current rotation tensor for the given node. More...

bool	updateRotations (const Vector &displ, bool reInit=false)
	Updates the nodal rotations for this patch. More...

void	updateRotations ()
	Updates the previous nodal rotations for this patch at convergence.

virtual void	getBoundaryNodes (int lIndex, IntVec &nodes, int, int thick, int, bool local) const
	Finds the global (or patch-local) node number on a patch end. More...

virtual int	getNodeSetIdx (const std::string &setName) const
	Returns (1-based) index of a predefined node set in the patch.

virtual const IntVec &	getNodeSet (int iset) const
	Returns an indexed pre-defined node set.

virtual bool	isInNodeSet (int iset, int inod) const
	Checks if node inod is within predefined node set iset. More...

virtual int	parseNodeSet (const std::string &setName, const char *cset)
	Defines a node set by parsing a list of node numbers.

virtual std::pair< size_t, double >	findClosestNode (const Vec3 &X) const
	Finds the node that is closest to the given point. More...

std::pair< int, double >	findElement (const Vec3 &X) const
	Finds the element that contains the given point. More...

virtual bool	refine (const LR::RefineData &prm, Vectors &)
	Refines the mesh adaptively. More...

virtual bool	refine (const RealArray &xi)
	Refines the parametrization by inserting extra knots. More...

virtual bool	uniformRefine (int nInsert)
	Refines the parametrization by inserting extra knots uniformly. More...

virtual bool	raiseOrder (int ru)
	Raises the order of the SplineCurve object for this patch. More...

virtual bool	createProjectionBasis (bool init)
	Creates a separate projection basis for this patch. More...

virtual int	constrainNode (double xi, int dof, int code)
	Constrains a node identified by a relative parameter value. More...

virtual size_t	constrainEndLocal (int dir, int dof, int code)
	Constrains all DOFs in local directions at a given end point. More...

virtual bool	connectPatch (int vertex, ASM1D &neighbor, int nvertex, int thick=1)
	Connects matching nodes on two adjacent vertices. More...

virtual void	closeBoundaries (int, int basis, int master)
	Makes the two end vertices of the curve periodic. More...

virtual int	findElementContaining (const double *param) const
	Returns the element that contains a specified spatial point. More...

virtual double	findPoint (Vec3 &X, double *param) const
	Searches for the specified Cartesian point in the patch. More...

virtual bool	getSolution (Matrix &sField, const Vector &locSol, const IntVec &nodes) const
	Extract the primary solution field at the specified nodes. More...

virtual bool	evalProjSolution (Matrix &sField, const Vector &locSol, const int *npe, int) const
	Evaluates the projected solution field at all visualization points. More...

virtual bool	evaluate (const FunctionBase *func, RealArray &vec, int, double time) const
	Evaluates and interpolates a function over a given geometry. More...

Go::SplineCurve *	projectSolution (const IntegrandBase &integrand) const
	Projects the secondary solution field onto the primary basis. More...

virtual Go::GeomObject *	evalSolution (const IntegrandBase &integrand) const
	Projects the secondary solution field onto the primary basis. More...

virtual Fields *	getProjectedFields (const Vector &coefs, size_t=0) const
	Returns a field using the projection basis. More...

virtual bool	getGridParameters (RealArray &prm, int nSegSpan) const
	Calculates parameter values for visualization nodal points. More...

virtual void	evaluateBasis (double u, double, double, Vector &N) const
	Evaluates the basis functions at the specified point. More...

void	extractBasis (double u, Vector &N) const
	Establishes the vector with basis function values. More...

void	extractBasis (double u, Vector &N, Matrix &dNdu) const
	Establishes matrices with basis functions and 1st derivatives. More...

void	extractBasis (double u, Vector &N, Matrix &dNdu, Matrix3D &d2Ndu2) const
	Establishes matrices with basis functions, 1st and 2nd derivatives. More...

void	extractBasis (double u, Vector &N, Matrix &dNdu, Matrix3D &d2Ndu2, Matrix4D &d3Ndu3) const
	Establishes matrices with basis functions, 1st, 2nd and 3rd derivatives. More...

virtual bool	getOrder (int &p1, int &p2, int &p3) const
	Returns the polynomial order in each parameter direction. More...

virtual bool	getSize (int &n1, int &n2, int &n3, int basis) const
	Returns the number of nodal points in each parameter direction. More...

virtual bool	getNoStructElms (int &n1, int &n2, int &n3) const
	Returns the number of elements in each parameter direction. More...

virtual size_t	getNoNodes (int basis=0) const
	Returns the total number of nodes in this patch.

virtual size_t	getNoProjectionNodes () const
	Returns the number of projection nodes for this patch.

virtual bool	getParameterDomain (Real2DMat &u, IntVec *corners) const
	Returns parameter values and node numbers of the domain corners. More...

virtual void	getElmConnectivities (IntMat &neigh, int basis=ASM::INTEGRATION_BASIS) const
	Calculates the matrix of element neighbour connectivities. More...

virtual bool	evaluate (const ASMbase *basis, const Vector &locVec, RealArray &vec, int basisNum=1) const
	Evaluates and interpolates a field over a given geometry. More...

virtual bool	evaluate (const Field *f, RealArray &vec, int basisNum=1) const
	Evaluates and interpolates a scalar field over a given geometry. More...

virtual bool	evaluate (const FunctionBase *f, RealArray &vec, int basisNum=1, double time=0.0) const
	Evaluates and interpolates a scalar function over a given geometry. More...

Public Member Functions inherited from ASMstruct
virtual	~ASMstruct ()
	The destructor frees the dynamically allocated spline objects.

virtual bool	empty () const
	Checks if the patch is empty.

virtual bool	diracPoint (Integrand &integr, GlobalIntegral &glInt, const double *u, const Vec3 &pval)
	Integrates a spatial dirac-delta function over a patch. More...

virtual bool	separateProjectionBasis () const
	Checks if a separate projection basis is used for this patch.

virtual void	swapProjectionBasis ()
	Swaps between the first and second projection basis.

virtual bool	evalSolution (Matrix &sField, const Vector &locSol, const int *npe, int n_f=0, bool piola=false) const
	Evaluates the primary solution field at all visualization points. More...

virtual bool	evalSolution (Matrix &sField, const Vector &locSol, const RealArray *gpar, bool regular=true, int deriv=0, int n_f=0) const
	Evaluates the primary solution field at the given points. More...

virtual bool	evalSolution (Matrix &sField, const IntegrandBase &integrand, const int *npe=nullptr, char project=0) const
	Evaluates the secondary solution field at all visualization points. More...

virtual bool	evalSolution (Matrix &sField, const IntegrandBase &integrand, const RealArray *gpar, bool regular=true) const
	Evaluates the secondary solution field at the given points. More...

virtual bool	evalSolution (Matrix &sField, const IntegrandBase &integrand, const IntVec &elements) const
	Evaluates the secondary solution field at element centers. More...

Public Member Functions inherited from ASMbase
virtual	~ASMbase ()
	The destructor frees the dynamically allocated data objects.

ASMbase *	cloneUnShared () const
	Returns a copy of this patch with identical FE discretization. More...

virtual bool	readBasis (std::istream &, size_t)
	Reads a basis from the given input stream.

virtual void	addHole (double, double, double)
	Adds a circular immersed boundary in the physical geometry.

virtual void	addHole (double, double, double, double, double)
	Adds an oval immersed boundary in the physical geometry.

virtual bool	setGeometry (RealFunc *, double, double)
	Defines the immersed geometry from a scalar function.

virtual bool	addXElms (short int dim, short int item, size_t nXn, IntVec &nodes)
	Adds extraordinary elements associated with a patch boundary. More...

bool	addLagrangeMultipliers (size_t iel, const IntVec &mGLag, unsigned char nnLag=1)
	Adds a set of Lagrange multipliers to the specified element. More...

bool	addGlobalLagrangeMultipliers (const IntVec &mGLag, unsigned char nnLag=1)
	Adds global Lagrange multipliers to the system. More...

virtual void	setGauss (int ng)
	Defines the numerical integration scheme nGauss in the patch.

void	setNoFields (unsigned char n)
	Defines the number of solution fields in the patch. More...

void	setElementActivator (IntFunc *efunc)
	Sets the element activation function.

const IntFunc *	getElementActivator () const
	Returns a pointer to the element activation function.

virtual void	setMinimumSize (double)
	Sets the minimum element size for adaptive refinement.

virtual double	getMinimumSize (int=0) const
	Defines the minimum element size for adaptive refinement.

virtual bool	checkElementSize (int, bool=true) const
	Checks if the specified element is larger than the minimum size.

unsigned char	getNoSpaceDim () const
	Returns the number of spatial dimensions.

unsigned char	getNoParamDim () const
	Returns the number of parameter dimensions.

virtual unsigned char	getNoFields (int b=0) const
	Returns the number of solution fields.

unsigned char	getNoLagPerNode () const
	Returns the number of Lagrange multipliers per node.

virtual size_t	getNodeIndex (int globalNum, bool=false) const
	Returns local 1-based index of the node with given global number. More...

virtual int	getNodeID (size_t inod, bool=false) const
	Returns the global node number for the given node. More...

size_t	getElmIndex (int globalNum) const
	Returns local 1-based index of element with given global number. More...

int	getElmID (size_t iel) const
	Returns the global element number for the given element. More...

virtual unsigned char	getNodalDOFs (size_t inod) const
	Returns the number of DOFs per node. More...

virtual char	getNodeType (size_t inod) const
	Returns the classification of a node. More...

bool	isLMn (size_t n) const
	Returns true if node n is a Lagrange multiplier node.

bool	isRMn (size_t n) const
	Returns true if node n is a master node of a rigid coupling.

char	getLMType (size_t inod) const
	Returns the type of a Lagrange multiplier node. More...

virtual void	getBoundary1Nodes (int lIndex, IntVec &nodes, int basis=0, int orient=-1, bool local=false, bool open=false) const
	Finds the global (or patch-local) node numbers on a patch boundary. More...

void	getBoundaryElms (int lIndex, IntVec &elms, int orient=-1, bool local=false) const
	Finds the global (or patch-local) element numbers on a boundary. More...

virtual int	parseNodeBox (const std::string &, const char *)
	Defines a node set by parsing a 3D bounding box.

virtual int	getElementSetIdx (const std::string &) const
	Returns (1-based) index of a predefined element set in the patch.

virtual const IntVec &	getElementSet (int) const
	Returns an indexed predefined element set.

virtual bool	getElementSet (int, std::string &) const
	Returns the name of an indexed predefined element set.

virtual bool	isInElementSet (int, int) const
	Checks if an element is within a predefined element set.

virtual int	parseElemSet (const std::string &, const char *)
	Defines an element set by parsing a list of element numbers.

virtual int	parseElemBox (const std::string &, const std::string &, const char *)
	Defines an element set by parsing a 3D bounding box.

void	printNodes (std::ostream &os) const
	Prints out the nodal coordinates of this patch to the given stream.

void	printElements (std::ostream &os) const
	Prints out element connections of this patch to the given stream.

virtual void	printElmInfo (int, const IntegrandBase *) const
	Prints out additional app-dependent element information.

virtual void	shiftGlobalNodeNums (int nshift)
	Increase all global node numbers by nshift.

void	setGlobalNodeNums (const IntVec &nodes)
	Sets the global node numbers for this patch.

const IntVec &	getMyNodeNums () const
	Returns the actual global node numbers of this patch.

const IntVec &	getGlobalNodeNums () const
	Returns the global node numbers of this patch.

virtual void	shiftGlobalElmNums (int eshift)
	Increase all global element numbers by eshift.

const IntVec &	getGlobalElementNums () const
	Returns the global element numbers of this patch.

void	setActiveElements (IntVec *active)
	Sets the list of active elements during assembly.

bool	isElementActive (int iel, double time=-1.0) const
	Returns true if element with 0-based index iel is active.

bool	inActive (double time) const
	Returns true if none of the elements in the patch are active.

double	getAge (int iel, double time) const
	Returns the age of the element with 0-based index iel.

bool	isElementInPartition (int iel) const
	Returns true if element is in process partition. More...

const IntVec &	getElementNodes (int iel) const
	Returns the nodal point correspondance array for an element. More...

virtual size_t	getNoBasis () const
	Returns number of bases of this patch.

size_t	getNoElms (bool includeZeroVolElms=false, bool includeXElms=false) const
	Returns the total number of elements in this patch. More...

int	getMaxElmNo () const
	Returns the highest external element number in this patch.

virtual size_t	getNoBoundaryElms (char, char) const
	Returns the number of elements on a boundary.

size_t	getNoMPCs () const
	Returns the total number of multi-point constraint equations.

virtual void	getNoIntPoints (size_t &nPt, size_t &nIPt)
	Computes the total number of integration points in this patch.

virtual void	getNoBouPoints (size_t &nPt, char ldim, char lindx)
	Computes the number of boundary integration points in this patch.

BCVec::const_iterator	begin_BC () const
	Returns the beginning of the BCode array.

BCVec::const_iterator	end_BC () const
	Returns the end of the BCode array.

IntMat::const_iterator	begin_elm () const
	Returns the beginning of the MNPC array.

IntMat::const_iterator	end_elm () const
	Returns the end of the MNPC array.

MPCIter	begin_MPC () const
	Returns the beginning of the mpcs set.

MPCIter	end_MPC () const
	Returns the end of the mpcs set.

MPC *	findMPC (int node, int dof) const
	Returns a pointer to the MPC object for a specified slave, if any. More...

bool	isShared () const
	Returns true if this patch shares FE data with another patch.

bool	hasXNodes () const
	Returns true if this patch has additional (extraordinary) nodes.

virtual void	copyParameterDomain (const ASMbase *)
	Copies the parameter domain from another patch.

bool	mergeNodes (size_t inod, int globalNum, bool verbose=true)
	Merges a given node in this patch with a given global node. More...

int	renumberNodes (std::map< int, int > &old2new, int &nNod)
	Renumbers the global node numbers in this patch. More...

bool	renumberNodes (const std::map< int, int > &old2new, const std::vector< int > &new2old={}, int renumGN=0, std::map< int, int > *degenElm=nullptr)
	Renumbers the global node numbers referred by this patch. More...

virtual bool	initConstraints ()
	Initializes the multi-point constraint coefficients.

virtual void	setNodeNumbers (const IntVec &nodes)
	Sets the global node numbers for this patch. More...

bool	hasTimeDependentDirichlet (const std::map< int, RealFunc * > &func, const std::map< int, VecFunc * > &vfunc)
	Checks for time-dependent in-homogeneous Dirichlet conditions. More...

virtual bool	updateDirichlet (const std::map< int, RealFunc * > &func, const std::map< int, VecFunc * > &vfunc, double time=0.0, const std::map< int, int > *g2l=nullptr)
	Updates the time-dependent in-homogeneous Dirichlet coefficients. More...

virtual bool	transform (const Matrix &)
	Applies a transformation matrix from local to global system.

virtual void	initMADOF (const int *)
	Initializes the patch level MADOF array for mixed problems.

virtual void	generateThreadGroups (const Integrand &, bool, bool)
	Generates element groups for multi-threading of interior integrals.

virtual void	generateThreadGroups (char, bool, bool)
	Generates element groups for multi-threading of boundary integrals.

virtual void	generateThreadGroupsFromElms (const IntVec &)
	Generates element groups for multi-threading based on a partition.

virtual void	generateProjThreadGroupsFromElms (const IntVec &)
	Generates element groups for multi-threading based on a partition.

virtual bool	validateThreadGroups (const SAM *) const
	Validates the threading groups based on the assembly data in SAM.

virtual void	changeNumThreads ()
	Hook for changing number of threads.

virtual bool	integrateEdge (Integrand &integrand, int lEdge, GlobalIntegral &glbInt, const TimeDomain &time)
	Evaluates a boundary integral over a patch edge. More...

virtual bool	integrate (Integrand &integrand, GlobalIntegral &glbInt, const TimeDomain &time, const ASM::InterfaceChecker &iChk)
	Evaluates an integral over element interfaces in the patch. More...

virtual ElementBlock *	immersedGeometry (char *) const
	Returns an additional geometry to visualize (immersed boundaries).

virtual ElementBlock *	extraGeometry (char *) const
	Returns an additional geometry to visualize (spiders, etc.).

virtual void	filterResults (Matrix &, const ElementBlock *) const
	Filters out result point values that are outside physical domain.

virtual bool	immersedSolution (Matrix &, const Vector &) const
	Evaluates the primary solution at the immersed geometry points.

virtual bool	extraSolution (Matrix &, const Vector &) const
	Evaluates the primary solution at the extra geometry points.

virtual bool	evalSolutionPiola (Matrix &sField, const Vector &locSol, const RealArray *gpar, bool regular) const
	Evaluates the primary solution field with Piola mapping. More...

virtual bool	evaluate (const ASMbase *basis, const Vector &locVec, RealArray &vec, int basisNum=1) const
	Evaluates and interpolates a field over a given geometry. More...

virtual bool	evaluate (const Field *f, RealArray &vec, int basisNum=1) const
	Evaluates and interpolates a scalar field over a given geometry. More...

virtual bool	evalSolution (Matrix &sField, const IntegrandBase &integrand, const IntVec &elements) const
	Evaluates the secondary solution field at element centers. More...

bool	globalL2projection (Matrix &sField, const L2Integrand &integrand, bool continuous=false, bool enforceEnds=false) const
	Projects the secondary solution using a (discrete) global L2-fit. More...

bool	L2projection (Matrix &sField, IntegrandBase *integrand, const TimeDomain &time)
	Projects the secondary solution using a continuous global L2-fit. More...

bool	L2projection (Matrix &fVals, FunctionBase *function, double t=0.0)
	Projects an explicit function using a continuous global L2-fit. More...

bool	L2projection (const std::vector< Matrix * > &fVals, const std::vector< FunctionBase * > &function, double t=0.0)
	Projects explicit functions using a continuous global L2-fit. More...

virtual size_t	getNoRefineNodes () const
	Returns the number of nodes on refinement basis for this patch.

virtual size_t	getNoRefineElms () const
	Returns the number of elements on refinement basis for this patch.

virtual Field *	getProjectedField (const Vector &) const
	Returns a field using the projection basis.

virtual void	extractElmRes (const Vector &globRes, Vector &elmRes, size_t internalFirst=0) const
	Extracts element results for this patch from a global vector. More...

virtual void	extractElmRes (const Matrix &globRes, Matrix &elmRes, size_t internalFirst=0) const
	Extracts element results for this patch from a global vector. More...

bool	extractNodalVec (const RealArray &globVec, RealArray &nodeVec, const int *madof, int ngnod=-1) const
	Extracts nodal results for this patch from the global vector. More...

virtual void	extractNodeVec (const RealArray &globVec, RealArray &nodeVec, unsigned char nndof=0, int basis=0) const
	Extracts nodal results for this patch from the global vector. More...

virtual bool	injectNodeVec (const RealArray &nodeVec, RealArray &globVec, unsigned char nndof=0, int basis=0) const
	Injects nodal results for this patch into the global vector. More...

bool	injectNodalVec (const RealArray &nodeVec, RealArray &globVec, const IntVec &madof, int basis=0) const
	Injects nodal results for this patch into the global vector. More...

bool	add2PC (int slave, int dir, int master, int code=0)
	Creates and adds a two-point constraint to this patch. More...

bool	addMPC (MPC *&mpc, int code=0, bool verbose=false, bool overrideD=false)
	Adds a general multi-point-constraint (MPC) equation to this patch. More...

virtual bool	addRigidCpl (int lindx, int ldim, int basis, int &gMaster, const Vec3 &Xmaster, bool extraPt=true)
	Adds MPC-equations representing a rigid coupling to this patch. More...

void	addRigidCouplings (int gMaster, const Vec3 &Xmaster, const IntVec &slaveNodes)
	Adds MPC-equations representing a rigid coupling to this patch. More...

void	constrainPatch (int dof, int code=0)
	Constrains all nodes in the patch. More...

void	constrainNodes (const IntVec &nodes, int dof, int code=0, bool overrideD=false)
	Constrains a list of nodes in the patch. More...

bool	constrainXnode (int node, int dof, int code=0)
	Constrains an extraordinary node in the patch. More...

int	prescribe (size_t inod, int dirs, int code, bool overrideD=false)
	Constrains DOFs in the given node to the given value. More...

int	fix (size_t inod, int dirs=123)
	Constrains DOFs in the given node to zero. More...

bool	isFixed (int node, int dof, bool all=false) const
	Checks if the given DOFs are fixed. More...

Public Member Functions inherited from ASMunstruct
virtual	~ASMunstruct ()
	Empty destructor.

virtual void	remapErrors (RealArray &errors, const RealArray &orig, bool=false) const
	Remaps element-wise errors from geometry mesh to refinement mesh. More...

virtual IntVec	getBoundaryCovered (const IntSet &) const
	Returns all boundary functions that are covered by the given nodes.

virtual void	extendRefinementDomain (IntSet &, const IntSet &) const
	Extends the refinement domain with information for neighbors.

virtual void	storeMesh (const std::string &fName, int fType=15) const
	Stores the mesh basis to encapsulated postscript files. More...

Public Member Functions inherited from ASM1D
virtual	~ASM1D ()
	Empty destructor.

ASMbase *	clone (unsigned char *nf=nullptr) const
	Returns a copy of this patch with identical FE discretization. More...

virtual bool	refine (const std::vector< double > &xi)=0
	Refines the parametrization by inserting extra knots. More...

virtual bool	getGridParameters (std::vector< double > &prm, int nSegSpan) const =0
	Calculates parameter values for visualization nodal points. More...

Protected Attributes
size_t	nx
	Number of nodes.

int	p1
	Polynomial order of the basis.

Protected Attributes inherited from ASMs1D
std::shared_ptr< Go::SplineCurve >	curv
	The actual spline curve object.

std::shared_ptr< Go::SplineCurve >	proj
	Spline curve for projection basis.

std::map< size_t, size_t >	xnMap
	Node index map used by getCoord()

std::map< size_t, size_t >	nxMap
	Node index map used by getNodeID()

IntMat	projMNPC
	Matrix of Nodal Point Correspondance for projection.

IntVec	projMLGE
	Matrix of Local to Global Element numbers for projection.

const TensorVec &	elmCS
	Element coordinate systems (for 3D beams)

const TensorVec &	nodalT
	Nodal rotation tensors (for 3D beams)

TensorVec	myCS
	The actual element coordinate systems.

TensorVec	myT
	The actual nodal rotation tensors.

TensorVec	prevT
	Nodal rotation tensors of last converged configuration.

std::vector< ASM::NodeSet >	nodeSets
	Node sets for Dirichlet BCs.

Protected Attributes inherited from ASMstruct
std::shared_ptr< Go::GeomObject >	geomB
	Pointer to spline object of the geometry basis.

std::shared_ptr< Go::GeomObject >	projB
	Pointer to spline object of the projection basis.

std::shared_ptr< Go::GeomObject >	projB2
	Pointer to spline object of the secondary projection basis.

ThreadGroups	projThreadGroups
	Element groups for multi-threaded assembly - projection basis.

ThreadGroups	proj2ThreadGroups
	Element groups for multi-threaded assembly - second projection basis.

Protected Attributes inherited from ASMbase
unsigned char	ndim
	Number of parametric dimensions (1, 2 or 3)

unsigned char	nsd
	Number of space dimensions (ndim <= nsd <= 3)

unsigned char	nf
	Number of primary solution fields (1 or larger)

unsigned char	nLag
	Number of Lagrange multipliers per node.

size_t	nel
	Number of regular elements in this patch.

size_t	nnod
	Number of regular nodes in this patch.

const IntVec &	MLGE
	Matrix of Local to Global Element numbers.

const IntVec &	MLGN
	Matrix of Local to Global Node numbers.

const IntMat &	MNPC
	Matrix of Nodal Point Correspondance.

const char	shareFE
	Flag telling whether this patch shares its data with another patch. More...

BCVec	BCode
	Array of Boundary Condition codes.

MPCMap	dCode
	Inhomogeneous Dirichlet condition codes for the MPCs.

MPCSet	mpcs
	All multi-point constraints with the slave in this patch.

IntVec	myMLGE
	The actual Matrix of Local to Global Element numbers.

IntVec	myMLGN
	The actual Matrix of Local to Global Node numbers.

IntMat	myMNPC
	The actual Matrix of Nodal Point Correspondance.

IntVec	myElms
	Elements on patch - used with partitioning.

int	nGauss
	Numerical integration scheme for this patch. More...

size_t	firstEl
	Global index to first element within this patch.

size_t	firstIp
	Global index to first interior integration point.

std::map< char, size_t >	firstBp
	Global indices to first integration point for the Neumann boundaries.

ASMVec	neighbors
	Patches having nodes in common with this one.

std::map< size_t, XYZ >	myRmaster
	Rigid master nodal points.

Protected Attributes inherited from ASMLagBase
const Vec3Vec &	coord
	Const reference to the nodal coordinate container.

Vec3Vec	myCoord
	Nodal coordinate container.

Static Private Member Functions
static void	createMNPC (size_t nel, int p1, IntMat &MNPC)
	Creates matrix of nodal point correspondance for a structured grid.

Additional Inherited Members
Public Types inherited from ASMbase
using	BCVec = std::vector< BC >
	Nodal boundary condition container.

Static Public Member Functions inherited from ASMs1D
static void	scatterInd (int p1, int start, IntVec &index)
	Auxilliary function for computation of basis function indices.

Static Public Member Functions inherited from ASMbase
static void	resetNumbering (int n=0)
	Resets the global element and node counters.

static int	renumberNodes (const ASMVec &model, std::map< int, int > &old2new)
	Renumbers all global node numbers in the entire model. More...

static void	mergeAndGetAllMPCs (const ASMVec &model, MPCSet &allMPCs)
	Computes the set of all MPC-equations over the whole model. More...

static void	resolveMPCchains (const MPCSet &allMPCs, const ASMVec &model, bool setPtrOnly=false)
	Resolves (possibly multi-level) chaining in MPC-equations. More...

Static Public Member Functions inherited from ASM1D
static ASMbase *	create (ASM::Discretization type, unsigned char nd, unsigned char nf)
	Creates a one-parametric patch of specified discretization type. More...

static ASMbase *	create (ASM::Discretization type, unsigned char nf=1)
	Creates a one-parametric patch of specified discretization type. More...

static double	getElementSize (const std::vector< Vec3 > &XC)
	Returns characteristic element size based on end point coordinates.

Public Attributes inherited from ASMbase
size_t	idx
	Index of this patch in the multi-patch model.

Static Public Attributes inherited from ASMbase
static bool	fixHomogeneousDirichlet = true
	If true, pre-eliminate fixed DOFs.

static int	dbgElm = 0
	One-based element index to print debugging info for.

static double	modelSize = 1.0
	Characteristic model size. More...

Protected Types inherited from ASMbase
using	XYZ = std::array< double, 3 >
	Convenience type definition.

Protected Member Functions inherited from ASMs1D
virtual void	findBoundaryElms (IntVec &elms, int lIndex, int=0) const
	Finds the path-local element numbers on a patch boundary. More...

virtual bool	assembleL2matrices (SystemMatrix &A, SystemVector &B, const L2Integrand &integrand, bool continuous) const
	Assembles L2-projection matrices for the secondary solution. More...

virtual bool	initLocalElementAxes (const Vec3 &Zaxis)
	Initializes the local element axes for a patch of beam elements. More...

bool	connectBasis (ASMs1D &neighbor, int slave, int master, int thick=1)
	Connects matching nodes on two adjacent vertices. More...

bool	getGrevilleParameters (RealArray &prm) const
	Calculates parameter values for the Greville points. More...

double	getKnotSpan (int i) const
	Returns the parametric length on the i'th knot-span.

virtual void	getElementBorders (int iel, double *u) const
	Computes the element border parameters. More...

double	getElementEnds (int i, std::vector< Vec3 > &XC) const
	Computes the element end coordinates. More...

bool	getElementNodalRotations (TensorVec &T, size_t iel) const
	Returns nodal rotation matrices for an element, if any. More...

Tensor	getLocal2Global (double u) const
	Returns the local-to-global transformation at a parametric point.

Protected Member Functions inherited from ASMstruct
	ASMstruct (unsigned char n_p, unsigned char n_s, unsigned char n_f)
	The constructor sets the number of space dimensions and fields. More...

	ASMstruct (const ASMstruct &patch, unsigned char n_f)
	Special copy constructor for sharing of FE data. More...

bool	addXNodes (unsigned short int dim, size_t nXn, IntVec &nodes)
	Adds extraordinary nodes associated with a patch boundary. More...

bool	checkThreadGroups (const std::vector< std::set< int >> &nodes, int group, bool ignoreGlobalLM)
	Performs a sanity check on the thread groups. More...

Protected Member Functions inherited from ASMbase
	ASMbase (unsigned char n_p, unsigned char n_s, unsigned char n_f)
	The constructor sets the number of space dimensions and fields. More...

	ASMbase (const ASMbase &patch, unsigned char n_f)
	Special copy constructor for sharing of FE data. More...

	ASMbase (const ASMbase &patch)
	Default copy constructor, copying everything except neighbors. More...

void	addLocal2GlobalCpl (int iSlave, int master, const Tensor &Tlg)
	Creates constraint equations coupling global DOFs to local DOFs. More...

bool	add3PC (int slave, int dir, int master1, int master2, int code=0)
	Creates and adds a three-point constraint to this patch. More...

bool	addPeriodicity (size_t master, size_t slave, int dir)
	Creates and adds a periodicity constraint to this patch. More...

void	makePeriodic (size_t master, size_t slave, int dirs=123)
	Creates periodicity constraints between two nodes in this patch. More...

void	addNeighbor (ASMbase *pch)
	Adds a patch to the list of neighbors of this patch. More...

bool	createRgdMasterNode (int &gMaster, const Vec3 &Xmaster)
	Creates an additional master node for a rigid coupling. More...

void	addRigidMPC (int gSlave, int gMaster, const Vec3 &dX)
	Adds MPC-equations representing a rigid arm to a 6-DOF node. More...

int	getNoGaussPt (int p, bool neumann=false) const
	Returns the number of Gauss points to use in one direction. More...

int	searchCtrlPt (RealArray::const_iterator cit, RealArray::const_iterator end, const Vec3 &X, int dimension, double tol=0.001) const
	Helper method used by evalPoint to search for a control point. More...

bool	allDofs (int dirs) const
	Returns true if dirs constains all local DOFs in the patch.

bool	writeLagBasis (std::ostream &os, const char *type) const
	Writes a Lagrangian basis to the given stream.

Protected Member Functions inherited from ASMunstruct
	ASMunstruct ()
	The constructor is protected to allow objects of sub-classes only.

Protected Member Functions inherited from ASM1D
	ASM1D ()
	The constructor is protected to allow objects of sub-classes only.

Protected Member Functions inherited from ASMLagBase
	ASMLagBase ()
	Default constructor.

	ASMLagBase (const ASMLagBase &patch, bool cpCoord=true)
	Copy constructor.

virtual	~ASMLagBase ()
	Empty destructor.

bool	nodalField (Matrix &field, const Vector &sol, size_t nno) const
	Direct nodal evaluation of a solution field.

Vec3	getGeometricCenter (const std::vector< int > &MNPC) const
	Returns the geometric center of an element.

bool	updateCoords (const Vector &displ, unsigned char nsd)
	Updates the nodal coordinates for this patch. More...

void	updateOrigin (const Vec3 &origin)
	Updates patch origin by adding a constant to all nodes. More...

Static Protected Member Functions inherited from ASMbase
static bool	deformedConfig (const Matrix &Xnod, Vectors &eVec, bool force2nd=false)
	Calculates the deformed configuration for current element. More...

static bool	collapseNodes (ASMbase &pch1, int node1, ASMbase &pch2, int node2)
	Collapses the given two nodes into one. More...

Static Protected Attributes inherited from ASMbase
static std::map< int, int >	xNode
	Auxilliary node number map used when establishing Dirichlet constraints.

static int	gEl = 0
	Global element counter.

static int	gNod = 0
	Global node counter.

Detailed Description

Driver for assembly of 1D Lagrange FE models.

This class contains methods for 1D Lagrange patches.

Member Function Documentation

◆ clear()

void ASMs1DLag::clear ( bool retainGeometry = false )

virtual

Clears the contents of the patch, making it empty.

Parameters

[in] retainGeometry If true, the spline geometry is not cleared. This is used to reinitialize the patch after it has been refined.

Reimplemented from ASMs1D.

References ASMs1D::clear(), ASMLagBase::myCoord, nx, and p1.

◆ evalPoint()

int ASMs1DLag::evalPoint	(	const double *	xi,
		double *	param,
		Vec3 &	X
	)		const

virtual

Evaluates the geometry at a specified point.

Parameters

[in]	xi	Dimensionless parameters in range [0.0,1.0] of the point
[out]	param	The parameters of the point in the knot-span domain
[out]	X	The Cartesian coordinates of the point

Returns: Local node number within the patch that is closest to the point

Reimplemented from ASMs1D.

References ASMLagBase::coord, ASMs1D::curv, utl::find_closest(), ASMs1D::getGridParameters(), and p1.

◆ evalSolution() [1/9]

Go::GeomObject * ASMs1D::evalSolution

Projects the secondary solution field onto the primary basis.

Parameters

[in] integrand Object with problem-specific data and methods

References ASMbase::MLGN, and ASMbase::nnod.

◆ evalSolution() [2/9]

bool ASMs1DLag::evalSolution	(	Matrix &	sField,
		const IntegrandBase &	integrand,
		const int *	,
		char
	)		const

virtual

Evaluates the secondary solution field at all visualization points.

Parameters

[out]	sField	Solution field
[in]	integrand	Object with problem-specific data and methods

The number of visualization points is the same as the order of the Lagrange elements by default.

Reimplemented from ASMs1D.

References evalSolution().

◆ evalSolution() [3/9]

bool ASMs1D::evalSolution

Evaluates the secondary solution field at all visualization points.

Parameters

[out]	sField	Solution field
[in]	integrand	Object with problem-specific data and methods
[in]	npe	Number of visualization nodes over each knot span
[in]	project	Flag indicating the projection method

The secondary solution is derived from the primary solution, which is assumed to be stored within the integrand for current patch. If npe is null, the solution is evaluated at the Greville points and then projected onto the spline basis to obtain the control point values, which then are returned through sField. If npe is not null and project is defined, the solution is also projected onto the spline basis, and then evaluated at the npe points.

References ASMbase::MLGN, and ASMbase::nnod.

◆ evalSolution() [4/9]

bool ASMs1DLag::evalSolution	(	Matrix &	sField,
		const IntegrandBase &	integrand,
		const RealArray *	,
		bool	regular
	)		const

virtual

Evaluates the secondary solution field at the nodes/elements.

Parameters

[out]	sField	Solution field
[in]	integrand	Object with problem-specific data and methods
[in]	regular	If true, evaluate at all element centers. Otherwise, evaluate at all nodal points.

Reimplemented from ASMs1D.

Reimplemented in ASMs1DSpec.

References FiniteElement::age, Vec4::assign(), Lagrange::computeBasis(), FiniteElement::detJxW, FiniteElement::dNdX, utl::matrixBase< T >::empty(), IntegrandBase::evalSol(), utl::matrix< T >::fillColumn(), ASMbase::firstEl, getElementCoordinates(), Integrand::getIntegrandType(), IntegrandBase::getTimeLevel(), ItgPoint::idx, ItgPoint::iel, utl::Jacobian(), ASMbase::MLGE, ASMbase::MNPC, FiniteElement::N, ASMbase::nel, ASMbase::nnod, Integrand::NO_DERIVATIVES, p1, utl::matrix< T >::resize(), utl::vector< T >::size(), Vec4::t, ItgPoint::xi, and FiniteElement::Xn.

◆ evalSolution() [5/9]

bool ASMs1D::evalSolution

Evaluates the secondary solution field at the given points.

Parameters

[out]	sField	Solution field
[in]	integrand	Object with problem-specific data and methods
[in]	gpar	Parameter values of the result sampling points

The secondary solution is derived from the primary solution, which is assumed to be stored within the integrand for current patch.

References ASMs1D::myCS, ASMs1D::myT, ASMbase::nel, and ASMbase::nnod.

◆ evalSolution() [6/9]

bool ASMs1DLag::evalSolution	(	Matrix &	sField,
		const Vector &	locSol,
		const int *	,
		int	,
		bool
	)		const

virtual

Evaluates the primary solution field at all visualization points.

Parameters

[out]	sField	Solution field
[in]	locSol	Solution vector in DOF-order

The number of visualization points is the same as the order of the Lagrange elements by default.

Reimplemented from ASMs1D.

References evalSolution().

◆ evalSolution() [7/9]

bool ASMs1D::evalSolution

Evaluates the primary solution field at all visualization points.

Parameters

[out]	sField	Solution field
[in]	locSol	Solution vector in DOF-order
[in]	npe	Number of visualization nodes over each knot span

Referenced by evalSolution().

◆ evalSolution() [8/9]

bool ASMs1DLag::evalSolution	(	Matrix &	sField,
		const Vector &	locSol,
		const RealArray *	,
		bool	,
		int	,
		int
	)		const

virtual

Evaluates the primary solution field at the nodal points.

Parameters

[out]	sField	Solution field
[in]	locSol	Solution vector local to current patch

Reimplemented from ASMs1D.

References ASMbase::nnod, and ASMLagBase::nodalField().

◆ evalSolution() [9/9]

bool ASMs1D::evalSolution

Evaluates the primary solution field at the given points.

Parameters

[out]	sField	Solution field
[in]	locSol	Solution vector local to current patch
[in]	gpar	Parameter values of the result sampling points
[in]	deriv	Derivative order to return

References ASMs1D::generateOrientedFEModel().

◆ generateOrientedFEModel()

bool ASMs1DLag::generateOrientedFEModel ( const Vec3 & Zaxis )

virtual

Generates a beam finite element model for the patch.

Parameters

[in] Zaxis Vector defining a point in the local XZ-plane

Reimplemented from ASMs1D.

Reimplemented in ASMu1DLag.

References ASMLagBase::coord, createMNPC(), ASMs1D::curv, ASMbase::firstEl, ASMbase::gEl, ASMs1D::getGridParameters(), ASMbase::gNod, ASMs1D::initLocalElementAxes(), ASMLagBase::myCoord, ASMs1D::myCS, ASMbase::myMLGE, ASMbase::myMLGN, ASMbase::myMNPC, ASMs1D::myT, ASMbase::nel, ASMbase::nf, ASMbase::nnod, ASMbase::nsd, nx, p1, and ASMs1D::proj.

◆ getCoord()

Vec3 ASMs1DLag::getCoord ( size_t inod ) const

virtual

Returns the global coordinates for the given node.

Parameters

[in] inod 1-based node index local to current patch

Reimplemented from ASMs1D.

References ASMLagBase::coord.

◆ getElementCoordinates()

bool ASMs1DLag::getElementCoordinates	(	Matrix &	X,
		int	iel,
		bool	= `true`
	)		const

virtual

Returns a matrix with nodal coordinates for an element.

Parameters

[out]	X	3 \(\times\)n-matrix, where n is the number of nodes in one element
[in]	iel	Element index

Reimplemented from ASMs1D.

References ASMLagBase::coord, utl::matrix< T >::fillColumn(), ASMbase::MNPC, ASMbase::nsd, p1, and utl::matrix< T >::resize().

Referenced by evalSolution(), ASMs1DSpec::evalSolution(), integrate(), and ASMs1DSpec::integrate().

◆ getNodalCoordinates()

void ASMs1DLag::getNodalCoordinates	(	Matrix &	X,
		bool	= `false`
	)		const

virtual

Returns a matrix with all nodal coordinates within the patch.

Parameters

[out] X 3 \(\times\)n-matrix, where n is the number of nodes in the patch

Reimplemented from ASMs1D.

References ASMLagBase::coord, utl::matrix< T >::fillColumn(), ASMbase::nsd, and utl::matrix< T >::resize().

◆ getSize()

bool ASMs1D::getSize

Returns the number of nodal points in each parameter direction.

Parameters

[out]	n1	Number of nodes in first (u) direction
[out]	n2	Number of nodes in second (v) direction (always zero)
[out]	n3	Number of nodes in third (w) direction (always zero)
[in]	basis	Which basis to return size parameters for (mixed methods)

References ASMs1D::nodeSets.

◆ integrate() [1/2]

bool ASMs1DLag::integrate	(	Integrand &	integrand,
		GlobalIntegral &	glbInt,
		const TimeDomain &	time
	)

virtual

Evaluates an integral over the interior patch domain.

Parameters

	integrand	Object with problem-specific data and methods
	glbInt	The integrated quantity
[in]	time	Parameters for nonlinear/time-dependent simulations

Reimplemented from ASMs1D.

Reimplemented in ASMs1DSpec.

References FiniteElement::age, GlobalIntegral::assemble(), Vec4::assign(), utl::matrix< T >::cols(), Lagrange::computeBasis(), LocalIntegral::destruct(), FiniteElement::detJxW, Tensor::diag(), FiniteElement::dNdX, Integrand::ELEMENT_CORNERS, ASMs1D::elmCS, ASMstruct::empty(), Integrand::evalInt(), Integrand::finalizeElement(), ASMbase::firstEl, ASMbase::firstIp, GaussQuadrature::getCoord(), getElementCoordinates(), ASMs1D::getElementNodalRotations(), getEndPoints(), ASMs1D::getGridParameters(), Integrand::getIntegrandType(), Integrand::getLocalIntegral(), ASMbase::getNoGaussPt(), Integrand::getReducedIntegration(), GaussQuadrature::getWeight(), FiniteElement::h, ItgPoint::idx, ItgPoint::iel, ItgPoint::iGP, Integrand::initElement(), utl::Jacobian(), ASMbase::MLGE, ASMbase::MNPC, FiniteElement::N, ASMbase::nel, Integrand::NO_DERIVATIVES, Integrand::NODAL_ROTATIONS, p1, Integrand::reducedInt(), LocalIntegral::ref(), TimeDomain::t, FiniteElement::Te, FiniteElement::Tn, ItgPoint::u, FiniteElement::XC, ItgPoint::xi, and FiniteElement::Xn.

◆ integrate() [2/2]

bool ASMs1DLag::integrate	(	Integrand &	integrand,
		int	lIndex,
		GlobalIntegral &	glbInt,
		const TimeDomain &	time
	)

virtual

Evaluates a boundary integral over a patch end.

Parameters

	integrand	Object with problem-specific data and methods
[in]	lIndex	Local index of the end point
	glbInt	The integrated quantity
[in]	time	Parameters for nonlinear/time-dependent simulations

Reimplemented from ASMs1D.

Reimplemented in ASMs1DSpec.

References FiniteElement::age, GlobalIntegral::assemble(), utl::matrix< T >::cols(), Lagrange::computeBasis(), ASMs1D::curv, LocalIntegral::destruct(), Tensor::diag(), FiniteElement::dNdX, Integrand::ELEMENT_CORNERS, ASMs1D::elmCS, ASMstruct::empty(), Integrand::evalBou(), ASMbase::firstBp, ASMbase::firstEl, getElementCoordinates(), ASMs1D::getElementNodalRotations(), getEndPoints(), Integrand::getIntegrandType(), Integrand::getLocalIntegral(), FiniteElement::h, ItgPoint::idx, ItgPoint::iel, ItgPoint::iGP, Integrand::initElementBou(), utl::Jacobian(), ASMbase::MLGE, ASMbase::MNPC, FiniteElement::N, ASMbase::nel, Integrand::NO_DERIVATIVES, Integrand::NODAL_ROTATIONS, p1, LocalIntegral::ref(), Integrand::setNeumannOrder(), TimeDomain::t, FiniteElement::Te, FiniteElement::Tn, ItgPoint::u, Vec3::x, FiniteElement::XC, ItgPoint::xi, and FiniteElement::Xn.

◆ tesselate()

bool ASMs1DLag::tesselate	(	ElementBlock &	grid,
		const int *
	)		const

virtual

Creates a line element model of this patch for visualization.

Parameters

[out] grid The generated line grid

Note: The number of element nodes must be set in grid on input.

Reimplemented from ASMs1D.

Reimplemented in ASMu1DLag.

References ASMLagBase::coord, ElementBlock::getNoNodes(), nx, p1, ElementBlock::resize(), ElementBlock::setCoor(), ElementBlock::setElmId(), and ElementBlock::setNode().

◆ updateCoords()

bool ASMs1DLag::updateCoords ( const Vector & displ )

virtual

Updates the nodal coordinates for this patch.

Parameters

[in] displ Incremental displacements to update the coordinates with

Reimplemented from ASMs1D.

References ASMbase::nsd, ASMbase::shareFE, and ASMLagBase::updateCoords().

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

src/ASM/ASMs1DLag.h
src/ASM/ASMs1DLag.C

Public Member Functions

Protected Attributes

Static Private Member Functions

Additional Inherited Members

Detailed Description

Member Function Documentation

◆ clear()

◆ evalPoint()

◆ evalSolution() [1/9]

◆ evalSolution() [2/9]

◆ evalSolution() [3/9]

◆ evalSolution() [4/9]

◆ evalSolution() [5/9]

◆ evalSolution() [6/9]

◆ evalSolution() [7/9]

◆ evalSolution() [8/9]

◆ evalSolution() [9/9]

◆ generateOrientedFEModel()

◆ getCoord()

◆ getElementCoordinates()

◆ getNodalCoordinates()

◆ getSize()

◆ integrate() [1/2]

◆ integrate() [2/2]

◆ tesselate()

◆ updateCoords()