Implements the interfaces for TPZCompElDisc, TPZInterfaceElement and TPZInterpolatedElement. Computational element. More...

#include <pzinterpolationspace.h>

Inheritance diagram for TPZInterpolationSpace:

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Collaboration diagram for TPZInterpolationSpace:

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Public Member Functions
virtual int	ClassId () const override
	Define the class id associated with the class. More...

	TPZInterpolationSpace ()
	Default constructor. More...

virtual	~TPZInterpolationSpace ()
	Default destructor. More...

	TPZInterpolationSpace (TPZCompMesh &mesh, const TPZInterpolationSpace &copy)
	Puts a copy of the element in the referred mesh. More...

	TPZInterpolationSpace (TPZCompMesh &mesh, const TPZInterpolationSpace &copy, std::map< int64_t, int64_t > &gl2lcElMap)
	Puts a copy of the element in the patch mesh. More...

	TPZInterpolationSpace (TPZCompMesh &mesh, const TPZInterpolationSpace &copy, int64_t &index)
	Copy of the element in the new mesh whit alocated index. More...

	TPZInterpolationSpace (TPZCompMesh &mesh, TPZGeoEl *gel, int64_t &index)
	Create a computational element within mesh. More...

virtual void	ComputeShape (TPZVec< REAL > &intpoint, TPZMaterialData &data)
	Compute shape functions based on master element in the classical FEM manne. More...

virtual void	InitMaterialData (TPZMaterialData &data)
	Initialize a material data and its attributes based on element dimension, number of state variables and material definitions. More...

virtual void	ComputeRequiredData (TPZMaterialData &data, TPZVec< REAL > &qsi)
	Compute and fill data with requested attributes. More...

virtual void	ComputeRequiredData (TPZVec< REAL > &intpointtemp, TPZVec< TPZTransform< REAL > > &trvec, TPZVec< TPZMaterialData > &datavec)
	Compute and fill data with requested attributes for each of the compels in fElementVec. More...

virtual void	ComputeNormal (TPZMaterialData &data)
	Computes the proper normal vector towards the neighbour element. More...

void	VectorialProd (TPZVec< REAL > &ivec, TPZVec< REAL > &jvec, TPZVec< REAL > &kvec, bool unitary=false)
	Computes the vectorial product of two vectors and normalize the result if unitary is set to true. More...

virtual void	CalcStiff (TPZElementMatrix &ek, TPZElementMatrix &ef) override
	Computes the element stiffness matrix and right hand side. More...

virtual void	CalcResidual (TPZElementMatrix &ef) override
	Only computes the element residual. More...

virtual void	InitializeElementMatrix (TPZElementMatrix &ek, TPZElementMatrix &ef)
	Initialize element matrix in which is computed CalcStiff. More...

virtual void	InitializeElementMatrix (TPZElementMatrix &ef)
	Initialize element matrix in which is computed in CalcResidual. More...

void	MinMaxSolutionValues (TPZVec< STATE > &min, TPZVec< STATE > &max)
	Returns minimum and maximum values for each state variable. More...

virtual const TPZIntPoints &	GetIntegrationRule () const override=0
	Returns a reference to an integration rule suitable for integrating the interior of the element. More...

virtual TPZIntPoints &	GetIntegrationRule ()=0
	Returns a reference to an integration rule suitable for integrating the interior of the element. More...

virtual REAL	InnerRadius ()
	Returns the inner radius value. More...

virtual void	Solution (TPZVec< REAL > &qsi, int var, TPZVec< STATE > &sol) override
	Post processing method which computes the solution for the var post processed variable. More...

void	InterpolateSolution (TPZInterpolationSpace &coarsel)
	Interpolates the solution into the degrees of freedom nodes from the degrees of freedom nodes from the coarse element. More...

void	CreateInterfaces (bool BetweenContinuous=false)
	Create interfaces between this and its neighbours. More...

TPZInterfaceElement *	CreateInterface (int side, bool BetweenContinuous=false)
	Create an interface between this and the neighbour by side side. More...

int	ExistsInterface (TPZGeoElSide geosd)
	Verify existence of interface. More...

void	RemoveInterfaces ()
	Remove interfaces connected to this element. More...

void	RemoveInterface (int side)
	Remove interface which is neighbour from side side. More...

virtual void	EvaluateError (std::function< void(const TPZVec< REAL > &loc, TPZVec< STATE > &val, TPZFMatrix< STATE > &deriv)> func, TPZVec< REAL > &errors, bool store_error) override
	Performs an error estimate on the elemen. More...

virtual void	ComputeError (int errorid, TPZVec< REAL > &error) override
	Computes the element error estimator. More...

virtual TPZVec< STATE >	IntegrateSolution (int variable) const override
	Integrate a variable over the element. More...

virtual void	Integrate (int variable, TPZVec< STATE > &value) override
	Integrates a variable over the element. More...

void	ProjectFlux (TPZElementMatrix &ek, TPZElementMatrix &ef) override
	Integrate the solution over the element. More...

virtual void	SetPreferredOrder (int order)=0
	Defines the desired order for entire element. More...

virtual int	GetPreferredOrder ()
	Returns the prefered order for the element. More...

virtual void	PRefine (int order)=0
	Change the preferred order for the element and proceed the adjust of the aproximation space taking in acount the type of formulation and the neighbours of the element. More...

virtual int	GetSideOrient (int side)
	It returns the normal orientation of the reference element by the side. Only side that has dimension larger than zero and smaller than me. More...

virtual void	SetSideOrient (int side, int sideorient)
	It set the normal orientation of the element by the side. Only side that has dimension equal to my dimension minus one. More...

virtual void	Write (TPZStream &buf, int withclassid) const override
	Saves the element data to a stream. More...

virtual void	Read (TPZStream &buf, void *context) override
	Reads the element data from a stream. More...

void	BuildTransferMatrix (TPZInterpolationSpace &coarsel, TPZTransform<> &t, TPZTransfer< STATE > &transfer)
	Accumulates the transfer coefficients between the current element and the coarse element into the transfer matrix, using the transformation t. More...

data access methods
Methods which allow to access the internal data structure of the element
virtual void	Print (std::ostream &out=std::cout) const override
	Prints the relevant data of the element to the output stream. More...

int	NSideShapeF (int side) const
	Returns the number of shape functions on a side. More...

virtual int	NSideConnects (int iside) const =0
	Returns the number of dof nodes along side iside. More...

virtual int	SideConnectLocId (int icon, int is) const =0
	Returns the local node number of icon along is. More...

int64_t	SideConnectIndex (int icon, int is) const
	Returns the index of the c th connect object along side is. More...

TPZConnect &	SideConnect (int icon, int is) const
	Returns a pointer to the icon th connect object along side is. More...

virtual int	NShapeF () const =0
	It returns the shapes number of the element. More...

virtual int	NConnectShapeF (int icon, int order) const =0
	Returns the number of shapefunctions associated with a connect. More...

virtual int	MaxOrder ()
	Returns the max order of interpolation. More...

virtual void	AdjustIntegrationRule ()
	Adjust the integration rule according to the polynomial order of shape functions. More...

virtual int	ComputeIntegrationOrder () const override
	Compute integration order according to ... . More...

virtual void	SetIntegrationRule (int order) override

virtual void	Shape (TPZVec< REAL > &qsi, TPZFMatrix< REAL > &phi, TPZFMatrix< REAL > &dphidxi)=0
	Computes the shape function set at the point x. More...

Public Member Functions inherited from TPZCompEl
	TPZCompEl ()
	Simple Constructor. More...

virtual	~TPZCompEl ()
	Simple destructor. More...

virtual TPZCompEl *	Clone (TPZCompMesh &mesh) const =0
	Method for creating a copy of the element. More...

virtual TPZCompEl *	ClonePatchEl (TPZCompMesh &mesh, std::map< int64_t, int64_t > &gl2lcConMap, std::map< int64_t, int64_t > &gl2lcElMap) const =0
	Method for creating a copy of the element in a patch mesh. More...

	TPZCompEl (TPZCompMesh &mesh, const TPZCompEl &copy)
	Put a copy of the element in the referred mesh. More...

	TPZCompEl (TPZCompMesh &mesh, const TPZCompEl &copy, std::map< int64_t, int64_t > &gl2lcElMap)
	Put a copy of the element in the patch mesh. More...

	TPZCompEl (TPZCompMesh &mesh, const TPZCompEl &copy, int64_t &index)
	Copy of the element in the new mesh returning allocated index. More...

	TPZCompEl (TPZCompMesh &mesh, TPZGeoEl *gel, int64_t &index)
	Creates a computational element within mesh. Inserts the element within the data structure of the mesh. More...

virtual void	SetCreateFunctions (TPZCompMesh *mesh)
	Sets create function in TPZCompMesh to create elements of this type. More...

virtual REAL	VolumeOfEl ()
	Returns the volume of the geometric element associated. More...

virtual void	LoadElementReference ()
	Loads the geometric element reference. More...

virtual REAL	CompareElement (int var, char *matname)
	This method computes the norm of the difference of a post processed variable with @ the same post processed variable of the element pointed to by the geometric element. More...

virtual void	Assemble ()
	Computes the element stifness matrix and right hand side in an internal data structure. Used for initializing condensed element data structures. More...

virtual bool	HasMaterial (const std::set< int > &materialids) const
	Verifies if the material associated with the element is contained in the set. More...

virtual void	Divide (int64_t index, TPZVec< int64_t > &subindex, int interpolate=0)
	Divide the computational element. If interpolate = 1, the solution is interpolated to the sub elements. More...

virtual void	CreateGraphicalElement (TPZGraphMesh &graphmesh, int dimension)
	Creates corresponding graphical element(s) if the dimension matches graphical elements are used to generate output files. More...

virtual void	GetMemoryIndices (TPZVec< int64_t > &indices) const
	Get the indices of the vector of element memory associated with the integration points. More...

virtual void	SetMemoryIndices (TPZVec< int64_t > &indices)
	Set the indices of the vector of element memory associated with the integration points. More...

virtual void	PrepareIntPtIndices ()
	Prepare the vector of the material withmem with the correct integration point indexes. More...

virtual void	ForcePrepareIntPtIndices ()
	PrepareIntPtIndices initializes the material damage varibles memory in the proper material class. More...

virtual void	SetFreeIntPtIndices ()
	Frees the material damage varibles memory in the proper material class. More...

virtual int	NumberOfCompElementsInsideThisCompEl ()
	Return the size of the elementvec in multiphysics, if it is not multiphysics, just return 1. More...

virtual void	TransferMultiphysicsElementSolution ()

virtual void	SetMultiphysicsElementSolution ()

virtual void	AddShapeRestraint (TPZOneShapeRestraint restraint)
	Add a shape restraint (meant to fit the pyramid to restraint. More...

virtual std::list< TPZOneShapeRestraint >	GetShapeRestraints () const
	Return a list with the shape restraints. More...

virtual void	ResetShapeRestraints ()
	Return a list with the shape restraints. More...

virtual TPZVec< STATE >	IntegrateSolution (const std::string &varname, const std::set< int > &matids)
	Compute the integral of a variable defined by the string if the material id is included in matids. More...

virtual void	ComputeSolution (TPZVec< REAL > &qsi, TPZMaterialData &data)

virtual void	ComputeSolution (TPZVec< REAL > &qsi, TPZSolVec &sol, TPZGradSolVec &dsol, TPZFMatrix< REAL > &axes)
	Computes solution and its derivatives in the local coordinate qsi. More...

virtual void	ComputeSolution (TPZVec< REAL > &qsi, TPZVec< REAL > &normal, TPZSolVec &leftsol, TPZGradSolVec &dleftsol, TPZFMatrix< REAL > &leftaxes, TPZSolVec &rightsol, TPZGradSolVec &drightsol, TPZFMatrix< REAL > &rightaxes)
	Computes solution and its derivatives in the local coordinate qsi. This method will function for both volumetric and interface elements. More...

virtual void	ComputeSolution (TPZVec< REAL > &qsi, TPZFMatrix< REAL > &phi, TPZFMatrix< REAL > &dphix, const TPZFMatrix< REAL > &axes, TPZSolVec &sol, TPZGradSolVec &dsol)
	Computes solution and its derivatives in local coordinate qsi. More...

virtual void	BuildCornerConnectList (std::set< int64_t > &connectindexes) const =0
	adds the connect indexes associated with base shape functions to the set More...

virtual void	BuildConnectList (std::set< int64_t > &indepconnectlist, std::set< int64_t > &depconnectlist)
	Builds the list of all connectivities related to the element including the connects pointed to by dependent connects. More...

virtual void	BuildConnectList (TPZStack< int64_t > &connectlist) const
	Builds the list of all connectivities related to the element including the connects pointed to by dependent connects. More...

virtual void	BuildConnectList (std::set< int64_t > &connectlist)
	Builds the list of all connectivities related to the element including the connects pointed to by dependent connects. More...

virtual int	HasDependency ()
	Returns 1 if the element has at least one dependent node. Returns 0 otherwise. More...

virtual int	PressureConnectIndex () const
	Returns the index of the pressure connect. More...

virtual void	ReduceInternalNodes ()
	Domain Decomposition. This method will eliminate the nodes which are internal to the element from the datastructure of the grid After calling this method, the superelement will statically condense the internal equations. More...

virtual void	SetConnectIndex (int inode, int64_t index)=0
	Set the index i to node inode. More...

virtual void	CalcBlockDiagonal (TPZStack< int64_t > &connectlist, TPZBlockDiagonal< STATE > &block)
	Calculates the diagonal block. More...

REAL	MaximumRadiusOfEl ()
	Will return the maximum distance between the nodes of the reference element. More...

REAL	LesserEdgeOfEl ()
	Will return the smallest distance between two nodes of the reference element. More...

virtual void	InitializeIntegrationRule ()

virtual void	SetIntegrationRule (TPZIntPoints *intrule)
	Method to set a dynamically allocated integration rule. More...

virtual MElementType	Type ()
	Return the type of the element. More...

virtual int	IsInterface ()

TPZGeoEl *	Reference () const
	Return a pointer to the corresponding geometric element if such exists, return 0 otherwise. More...

void	SetReference (int64_t referenceindex)

virtual bool	NeedsComputing (const std::set< int > &materialids)
	return true if the element has a variational statement associated with the material ids More...

virtual int	NConnects () const =0
	Returns the number of nodes of the element. More...

virtual int	NEquations ()
	Returns the number of equations of the element. More...

int64_t	Index () const
	Returns element index of the mesh fELementVec list. More...

void	SetIndex (int64_t index)
	Sets element index of the mesh fELementVec list. More...

virtual int64_t	ConnectIndex (int i) const =0
	Returns the index of the ith connectivity of the element. More...

virtual TPZConnect &	Connect (int i) const
	Returns a pointer to the ith node. More...

virtual int	Dimension () const =0
	Dimension of the element. More...

virtual TPZMaterial *	Material () const
	Identify the material object associated with the element. More...

TPZGeoEl *	GetRefElPatch ()
	Returns the reference geometric element patch. Look for a geometric element which refers to a computational element and is neighbour of the current element AND is larger than the current element. More...

virtual void	LoadSolution ()
	Loads the solution within the internal data structure of the element. More...

void	SetMesh (TPZCompMesh *mesh)
	Sets the grid of the element. More...

TPZCompMesh *	Mesh () const
	Return a pointer to the grid of the element. More...

virtual void	PrintSolution (TPZVec< REAL > &point, const char *VarName, std::ostream &out)
	Prints the solution - sol - for the variable "VarName" at point specified in terms of the master element coordinates. More...

virtual void	PrintCoordinate (TPZVec< REAL > &point, int CoordinateIndex, std::ostream &out)
	Prints one coordinate index corresponding to the point to the output stream. More...

virtual void	PrintTitle (const char *VarName, std::ostream &out)
	Prints the variables names associated with the element material. More...

Public Member Functions inherited from TPZSavable
	TPZSavable ()

virtual	~TPZSavable ()

virtual std::list< std::map< std::string, uint64_t > >	VersionHistory () const

virtual std::pair< std::string, uint64_t >	Version () const

virtual bool	Compare (TPZSavable *copy, bool override=false)
	Compares the object for identity with the object pointed to, eventually copy the object. More...

virtual bool	Compare (TPZSavable *copy, bool override=false) const
	Compares the object for identity with the object pointed to, eventually copy the object. More...

Public Member Functions inherited from TPZRegisterClassId
template<typename T >
	TPZRegisterClassId (int(T::*)() const)

	TPZRegisterClassId ()=default

Protected Member Functions
void	ExpandShapeFunctions (TPZVec< int64_t > &connectlist, TPZVec< int > &dependencyorder, TPZVec< int > &blocksizes, TPZFMatrix< REAL > &phi, TPZFMatrix< REAL > &dphi)
	Auxiliary method to expand a vector of shapefunctions and their derivatives to acount for constraints. More...

Protected Attributes
int	fPreferredOrder
	Preferred polynomial order. More...

Protected Attributes inherited from TPZCompEl
TPZCompMesh *	fMesh
	Computational mesh to which the element belongs. More...

int64_t	fIndex
	Element index into mesh element vector. More...

TPZIntPoints *	fIntegrationRule
	Integration rule established by the user. More...

Computational methods
Methods used to perform computations on the interpolated element
virtual void	ComputeShape (TPZVec< REAL > &intpoint, TPZVec< REAL > &X, TPZFMatrix< REAL > &jacobian, TPZFMatrix< REAL > &axes, REAL &detjac, TPZFMatrix< REAL > &jacinv, TPZFMatrix< REAL > &phi, TPZFMatrix< REAL > &dphi, TPZFMatrix< REAL > &dphidx)
	Compute shape functions based on master element in the classical FEM manner. More...

virtual void	SideShapeFunction (int side, TPZVec< REAL > &point, TPZFMatrix< REAL > &phi, TPZFMatrix< REAL > &dphi)
	Compute the values of the shape function along the side. More...

static void	Convert2Axes (const TPZFMatrix< REAL > &dphi, const TPZFMatrix< REAL > &jacinv, TPZFMatrix< REAL > &dphidx)
	convert a shapefunction derivative in xi-eta to a function derivative in axes More...

Additional Inherited Members
Static Public Member Functions inherited from TPZCompEl
static int	StaticClassId ()

static void	SetgOrder (int order)
	Sets the value of the default interpolation order. More...

static int	GetgOrder ()
	Set the default value of the interpolation order. More...

static void	SetOrthogonalFunction (void(*orthogonal)(REAL x, int num, TPZFMatrix< REAL > &phi, TPZFMatrix< REAL > &dphi))
	Sets the orthogonal function which will be used throughout the program by default this function is the Chebyshev function. More...

static void	Chebyshev (REAL x, int num, TPZFMatrix< REAL > &phi, TPZFMatrix< REAL > &dphi)
	Implements of the orthogonal Chebyshev functions. More...

Static Public Member Functions inherited from TPZSavable
static std::set< TPZRestoreClassBase * > &	RestoreClassSet ()
	This static function guarantees that the gMap object is available when needed. More...

static std::map< int, TPZRestore_t > &	ClassIdMap ()
	This static function guarantees that the gMap object is available when needed. More...

static std::pair< std::string, uint64_t >	NeoPZVersion ()

static void	Register (TPZRestoreClassBase *restore)

static void	RegisterClassId (int classid, TPZRestore_t fun)

static TPZSavable *	CreateInstance (const int &classId)

Detailed Description

Implements the interfaces for TPZCompElDisc, TPZInterfaceElement and TPZInterpolatedElement. Computational element.

Since: April 11, 2007

Definition at line 17 of file pzinterpolationspace.h.

Constructor & Destructor Documentation

◆ TPZInterpolationSpace() [1/5]

TPZInterpolationSpace::TPZInterpolationSpace ( )

Default constructor.

Definition at line 22 of file pzinterpolationspace.cpp.

References fPreferredOrder.

◆ ~TPZInterpolationSpace()

TPZInterpolationSpace::~TPZInterpolationSpace ( )

virtual

Default destructor.

Definition at line 52 of file pzinterpolationspace.cpp.

◆ TPZInterpolationSpace() [2/5]

TPZInterpolationSpace::TPZInterpolationSpace	(	TPZCompMesh &	mesh,
		const TPZInterpolationSpace &	copy
	)

Puts a copy of the element in the referred mesh.

Definition at line 28 of file pzinterpolationspace.cpp.

References fPreferredOrder.

◆ TPZInterpolationSpace() [3/5]

TPZInterpolationSpace::TPZInterpolationSpace	(	TPZCompMesh &	mesh,
		const TPZInterpolationSpace &	copy,
		std::map< int64_t, int64_t > &	gl2lcElMap
	)

Puts a copy of the element in the patch mesh.

Definition at line 34 of file pzinterpolationspace.cpp.

References fPreferredOrder.

◆ TPZInterpolationSpace() [4/5]

TPZInterpolationSpace::TPZInterpolationSpace	(	TPZCompMesh &	mesh,
		const TPZInterpolationSpace &	copy,
		int64_t &	index
	)

Copy of the element in the new mesh whit alocated index.

Definition at line 40 of file pzinterpolationspace.cpp.

References fPreferredOrder.

◆ TPZInterpolationSpace() [5/5]

TPZInterpolationSpace::TPZInterpolationSpace	(	TPZCompMesh &	mesh,
		TPZGeoEl *	gel,
		int64_t &	index
	)

Create a computational element within mesh.

Parameters

mesh	mesh wher will be created the element
gel	geometrical element to insert
index	new elemen indexInserts the element within the data structure of the mesh

Definition at line 46 of file pzinterpolationspace.cpp.

References fPreferredOrder, and TPZCompMesh::GetDefaultOrder().

Member Function Documentation

◆ AdjustIntegrationRule()

void TPZInterpolationSpace::AdjustIntegrationRule ( )

virtual

Adjust the integration rule according to the polynomial order of shape functions.

Definition at line 71 of file pzinterpolationspace.cpp.

References TPZMaterial::IntegrationRuleOrder(), TPZCompEl::Material(), MaxOrder(), and SetIntegrationRule().

Referenced by TPZIntelGen< TSHAPE >::SetSideOrder(), SideConnect(), and TPZIntelGen< TSHAPE >::TPZIntelGen().

◆ BuildTransferMatrix()

void TPZInterpolationSpace::BuildTransferMatrix	(	TPZInterpolationSpace &	coarsel,
		TPZTransform<> &	t,
		TPZTransfer< STATE > &	transfer
	)

Accumulates the transfer coefficients between the current element and the coarse element
into the transfer matrix, using the transformation t.

Parameters

coarsel	larger element with respect to which the transfer matrix is computed
t	transformation which maps the master element space of the current element into the master element space of the coarse element
transfer	transfer matrix mapping the solution of the coarse mesh into the fine mesh This method forms the basis for the multigrid method

Definition at line 1444 of file pzinterpolationspace.cpp.

References TPZTransfer< TVar >::AddBlockNumbers(), TPZTransform< T >::Apply(), TPZCompEl::BuildConnectList(), TPZConnect::BuildDependencyOrder(), TPZIntPoints::Clone(), TPZCompEl::Connect(), TPZCompEl::ConnectIndex(), TPZCompMesh::ConnectVec(), DebugStop, dimension, TPZCompEl::Dimension(), ELDLt, ExpandShapeFunctions(), GetIntegrationRule(), TPZIntPoints::GetOrder(), TPZMatrix< TVar >::GetSub(), TPZConnect::HasDependency(), TPZCompEl::HasDependency(), TPZTransfer< TVar >::HasRowDefinition(), TPZGeoEl::Jacobian(), LOGPZ_DEBUG, LOGPZ_ERROR, TPZCompEl::Material(), MaxOrder(), TPZCompEl::Mesh(), TPZCompEl::NConnects(), NConnectShapeF(), TPZVec< T >::NElements(), Norm(), TPZIntPoints::NPoints(), TPZConnect::NShape(), NShapeF(), TPZMaterial::NStateVariables(), TPZConnect::Order(), TPZIntPoints::Point(), TPZBlock< TVar >::Position(), Print(), TPZConnect::Print(), TPZMatrix< TVar >::Print(), TPZStack< T, NumExtAlloc >::Push(), TPZCompEl::Reference(), TPZBlock< TVar >::Resequence(), TPZManVector< T, NumExtAlloc >::Resize(), TPZConnect::SequenceNumber(), TPZBlock< TVar >::Set(), TPZTransfer< TVar >::SetBlockMatrix(), TPZIntPoints::SetOrder(), Shape(), TPZBlock< TVar >::Size(), TPZMatrix< TVar >::SolveDirect(), pzgeom::tol, TPZGeoEl::X(), and TPZFMatrix< TVar >::Zero().

Referenced by TPZCompMesh::BuildTransferMatrix(), and GetPreferredOrder().

◆ CalcResidual()

void TPZInterpolationSpace::CalcResidual ( TPZElementMatrix & ef )

overridevirtual

Only computes the element residual.

Parameters

ef	element residual

Reimplemented from TPZCompEl.

Reimplemented in TPZAgglomerateElement.

Definition at line 377 of file pzinterpolationspace.cpp.

References TPZIntPoints::Clone(), ComputeRequiredData(), TPZMaterial::Contribute(), TPZMaterialData::detjac, TPZCompEl::Dimension(), fabs, TPZElementMatrix::fMat, GetIntegrationRule(), InitializeElementMatrix(), InitMaterialData(), TPZMaterialData::intLocPtIndex, TPZCompEl::Material(), MaxOrder(), TPZCompEl::NConnects(), TPZIntPoints::NPoints(), TPZMaterialData::p, TPZIntPoints::Point(), PZError, and TPZElementMatrix::Reset().

Referenced by ComputeRequiredData().

◆ CalcStiff()

void TPZInterpolationSpace::CalcStiff	(	TPZElementMatrix &	ek,
		TPZElementMatrix &	ef
	)

overridevirtual

Computes the element stiffness matrix and right hand side.

Parameters

ek	element matrix
ef	element right hand side

Reimplemented from TPZCompEl.

Reimplemented in TPZAgglomerateElement.

Definition at line 306 of file pzinterpolationspace.cpp.

References TPZIntPoints::Clone(), ComputeRequiredData(), TPZMaterial::Contribute(), TPZMaterialData::detjac, TPZCompEl::Dimension(), fabs, TPZElementMatrix::fMat, GetIntegrationRule(), TPZMaterial::Id(), InitializeElementMatrix(), InitMaterialData(), TPZMaterialData::intLocPtIndex, LOGPZ_DEBUG, TPZCompEl::Material(), TPZGeoEl::MaterialId(), MaxOrder(), TPZCompEl::NConnects(), TPZIntPoints::NPoints(), TPZMaterialData::p, TPZIntPoints::Point(), PZError, TPZCompEl::Reference(), and TPZElementMatrix::Reset().

Referenced by TPZAgglomerateElement::CalcStiff(), and ComputeRequiredData().

◆ ClassId()

int TPZInterpolationSpace::ClassId ( ) const

overridevirtual

Define the class id associated with the class.

This id has to be unique for all classes A non unique id is flagged at the startup of the program

Reimplemented from TPZCompEl.

Reimplemented in TPZCompElDisc, TPZCompElHDiv< TSHAPE >, TPZAgglomerateElement, TPZReducedSpace, TPZCompElHDivBound2< TSHAPE >, TPZCompElHDivPressure< TSHAPE >, TPZIntelGen< TSHAPE >, TPZCompElHDivPressureBound< TSHAPE >, and TPZInterpolatedElement.

Definition at line 1774 of file pzinterpolationspace.cpp.

References TPZCompEl::ClassId(), and Hash().

Referenced by TPZInterpolatedElement::ClassId(), TPZReducedSpace::ClassId(), and TPZCompElDisc::ClassId().

◆ ComputeError()

void TPZInterpolationSpace::ComputeError	(	int	errorid,
		TPZVec< REAL > &	error
	)

overridevirtual

Computes the element error estimator.

Reimplemented from TPZCompEl.

Definition at line 1180 of file pzinterpolationspace.cpp.

References TPZMaterialData::axes, TPZIntPoints::Clone(), ComputeShape(), TPZCompEl::ComputeSolution(), TPZMaterial::ContributeErrors(), TPZMaterialData::detjac, TPZCompEl::Dimension(), TPZMaterialData::dphix, TPZMaterialData::dsol, fabs, TPZVec< T >::Fill(), GetIntegrationRule(), TPZIntPoints::GetOrder(), TPZMaterialData::HSize, InitMaterialData(), InnerRadius(), TPZMaterialData::jacinv, TPZMaterialData::jacobian, TPZCompEl::Material(), MaxOrder(), TPZIntPoints::NPoints(), TPZMaterialData::p, TPZMaterialData::phi, TPZIntPoints::Point(), TPZIntPoints::SetOrder(), TPZMaterialData::sol, and TPZMaterialData::x.

Referenced by ComputeRequiredData().

◆ ComputeIntegrationOrder()

int TPZInterpolationSpace::ComputeIntegrationOrder ( ) const

overridevirtual

Compute integration order according to ... .

Reimplemented from TPZCompEl.

Definition at line 85 of file pzinterpolationspace.cpp.

References DebugStop.

Referenced by SideConnect().

◆ ComputeNormal()

void TPZInterpolationSpace::ComputeNormal ( TPZMaterialData & data )

virtual

Computes the proper normal vector towards the neighbour element.

Definition at line 203 of file pzinterpolationspace.cpp.

References TPZMaterialData::axes, TPZGeoEl::CenterPoint(), TPZGeoEl::Dimension(), TPZGeoElSide::Element(), TPZCompMesh::FindMaterial(), TPZGeoEl::MaterialId(), TPZCompEl::Mesh(), TPZGeoElSide::Neighbour(), TPZGeoEl::Neighbour(), TPZMaterialData::normal, TPZGeoEl::NSides(), PZError, TPZCompEl::Reference(), TPZManVector< T, NumExtAlloc >::Resize(), VectorialProd(), and TPZGeoEl::X().

Referenced by TPZReducedSpace::ComputeRequiredData(), and ComputeRequiredData().

◆ ComputeRequiredData() [1/2]

void TPZInterpolationSpace::ComputeRequiredData	(	TPZMaterialData &	data,
		TPZVec< REAL > &	qsi
	)

virtual

Compute and fill data with requested attributes.

Reimplemented in TPZCompElHDiv< TSHAPE >, and TPZReducedSpace.

Definition at line 158 of file pzinterpolationspace.cpp.

References TPZMaterialData::axes, ComputeNormal(), ComputeShape(), TPZCompEl::ComputeSolution(), TPZCompEl::Dimension(), TPZGeoEl::Dimension(), TPZMaterialData::dsol, EQuadrilateral, ETriangle, TPZMaterialData::fNeedsHSize, TPZMaterialData::fNeedsNormal, TPZMaterialData::fNeedsSol, TPZMaterialData::HSize, InnerRadius(), TPZMaterialData::intGlobPtIndex, TPZMaterialData::phi, TPZCompEl::Reference(), TPZManVector< T, NumExtAlloc >::Resize(), TPZMatrix< TVar >::Rows(), TPZMaterialData::sol, TPZCompEl::Type(), TPZMaterialData::x, TPZGeoEl::X(), TPZMaterialData::XCenter, and TPZMaterialData::xParametric.

Referenced by TPZCompElPostProc< TCOMPEL >::CalcResidual(), CalcResidual(), CalcStiff(), TPZSBFemVolume::ComputeKMatrices(), TPZMultiphysicsElement::ComputeRequiredData(), TPZMultiphysicsCompEl< TGeometry >::ComputeRequiredData(), TPZCompElHDiv< TSHAPE >::ComputeRequiredData(), TPZSBFemVolume::ComputeSolution(), EvaluateError(), IntegrateSolution(), TPZSBFemVolume::Shape(), SideShapeFunction(), and TPZMultiphysicsCompEl< TGeometry >::Solution().

◆ ComputeRequiredData() [2/2]

virtual void TPZInterpolationSpace::ComputeRequiredData	(	TPZVec< REAL > &	intpointtemp,
		TPZVec< TPZTransform< REAL > > &	trvec,
		TPZVec< TPZMaterialData > &	datavec
	)

inlinevirtual

Compute and fill data with requested attributes for each of the compels in fElementVec.

Definition at line 173 of file pzinterpolationspace.h.

References CalcResidual(), CalcStiff(), ComputeError(), ComputeNormal(), CreateInterface(), CreateInterfaces(), DebugStop, error(), EvaluateError(), ExistsInterface(), GetIntegrationRule(), InitializeElementMatrix(), InnerRadius(), Integrate(), IntegrateSolution(), InterpolateSolution(), MinMaxSolutionValues(), ProjectFlux(), PZError, RemoveInterface(), RemoveInterfaces(), Solution(), val(), and VectorialProd().

◆ ComputeShape() [1/2]

void TPZInterpolationSpace::ComputeShape	(	TPZVec< REAL > &	intpoint,
		TPZVec< REAL > &	X,
		TPZFMatrix< REAL > &	jacobian,
		TPZFMatrix< REAL > &	axes,
		REAL &	detjac,
		TPZFMatrix< REAL > &	jacinv,
		TPZFMatrix< REAL > &	phi,
		TPZFMatrix< REAL > &	dphi,
		TPZFMatrix< REAL > &	dphidx
	)

virtual

Compute shape functions based on master element in the classical FEM manner.

Reimplemented in TPZSBFemVolume, TPZCompElDisc, and TPZCompElHDivBound2< TSHAPE >.

Definition at line 96 of file pzinterpolationspace.cpp.

References Convert2Axes(), TPZGeoEl::Jacobian(), PZError, TPZCompEl::Reference(), and Shape().

Referenced by TPZInterpolatedElement::AdjustPreferredSideOrder(), TPZCompElPostProc< TCOMPEL >::CalcResidual(), ComputeError(), TPZInterfaceElement::ComputeRequiredData(), ComputeRequiredData(), ComputeShape(), TPZCompElHDivPressure< TSHAPE >::ComputeSolution(), TPZCompElHDiv< TSHAPE >::ComputeSolutionHDiv(), TPZCompElHDivPressure< TSHAPE >::ComputeSolutionPressureHDiv(), EvaluateError(), InterpolateSolution(), ProjectFlux(), SetIntegrationRule(), SideShapeFunction(), TPZCompElHDivPressure< TSHAPE >::Solution(), TPZMultiphysicsCompEl< TGeometry >::Solution(), and Solution().

◆ ComputeShape() [2/2]

void TPZInterpolationSpace::ComputeShape	(	TPZVec< REAL > &	intpoint,
		TPZMaterialData &	data
	)

virtual

Compute shape functions based on master element in the classical FEM manne.

Parameters

[in]	intpoint	point in master element coordinates
[in]	data	stores all input data

Reimplemented in TPZCompElDisc, TPZCompElHDivBound2< TSHAPE >, and TPZReducedSpace.

Definition at line 112 of file pzinterpolationspace.cpp.

References TPZMaterialData::axes, ComputeShape(), TPZMaterialData::detjac, TPZMaterialData::dphi, TPZMaterialData::dphix, TPZMaterialData::jacinv, TPZMaterialData::jacobian, TPZMaterialData::phi, and TPZMaterialData::x.

◆ Convert2Axes()

void TPZInterpolationSpace::Convert2Axes	(	const TPZFMatrix< REAL > &	dphi,
		const TPZFMatrix< REAL > &	jacinv,
		TPZFMatrix< REAL > &	dphidx
	)

static

convert a shapefunction derivative in xi-eta to a function derivative in axes

convert a shapefunction derivative in xi-eta to a function derivative in x,y,z

Definition at line 1731 of file pzinterpolationspace.cpp.

References TPZMatrix< TVar >::Cols(), TPZFMatrix< TVar >::GetVal(), PZError, TPZFMatrix< TVar >::Resize(), and TPZMatrix< TVar >::Rows().

Referenced by ComputeShape(), TPZCompElDisc::ComputeShape(), TPZSBFemVolume::ExtendShapeFunctions(), and SetIntegrationRule().

◆ CreateInterface()

TPZInterfaceElement * TPZInterpolationSpace::CreateInterface	(	int	side,
		bool	BetweenContinuous = `false`
	)

Create an interface between this and the neighbour by side side.

Parameters

side	: side where interface must be created
BetweenContinuous	allows to create interface between two elements that are not TPZCompElDisc. If param is false, it is necessary to have at least one TPZCompElDisc. Returns the interface created.

GeoBlend verifications

faces internas

GeoBlend verifications

Definition at line 710 of file pzinterpolationspace.cpp.

References TPZGeoEl::CreateBCGeoEl(), DebugStop, TPZCompEl::Dimension(), TPZCompElSide::Element(), TPZCompElSide::EqualLevelElementList(), TPZCompElSide::Exists(), TPZCompEl::fMesh, TPZMaterial::Id(), TPZGeoMesh::InterfaceMaterial(), TPZGeoEl::IsGeoBlendEl(), TPZGeoEl::IsLinearMapping(), TPZInterfaceElement::LeftElement(), LOGPZ_DEBUG, LOGPZ_ERROR, LOGPZ_WARN, TPZCompElSide::LowerLevelElementList(), TPZCompEl::Material(), TPZCompEl::Mesh(), TPZVec< T >::NElements(), TPZCompEl::Print(), TPZGeoEl::Print(), TPZCompEl::Reference(), TPZCompMesh::Reference(), TPZManVector< T, NumExtAlloc >::Resize(), TPZInterfaceElement::RightElement(), and TPZCompElSide::Side().

Referenced by ComputeRequiredData(), and CreateInterfaces().

◆ CreateInterfaces()

void TPZInterpolationSpace::CreateInterfaces ( bool BetweenContinuous = false )

Create interfaces between this and its neighbours.

Parameters

BetweenContinuous allows to create interface between two elements that are not TPZCompElDisc.If param is false, it is necessary to have at least one TPZCompElDisc.

Definition at line 658 of file pzinterpolationspace.cpp.

References CreateInterface(), TPZMaterial::Dimension(), ExistsInterface(), TPZCompElSide::HigherLevelElementList(), TPZCompEl::Material(), TPZVec< T >::NElements(), TPZGeoEl::NSides(), PZError, TPZCompEl::Reference(), TPZCompElSide::Reference(), and TPZGeoEl::SideDimension().

Referenced by ComputeRequiredData(), TPZCreateApproximationSpace::CreateInterfaceElements(), TPZCreateApproximationSpace::CreateInterfaces(), TPZCompMesh::Discontinuous2Continuous(), and TPZCompMesh::RemakeAllInterfaceElements().

◆ EvaluateError()

void TPZInterpolationSpace::EvaluateError	(	std::function< void(const TPZVec< REAL > &loc, TPZVec< STATE > &val, TPZFMatrix< STATE > &deriv)>	func,
		TPZVec< REAL > &	errors,
		bool	store_error
	)

overridevirtual

Performs an error estimate on the elemen.

Parameters

fp	function pointer which computes the exact solution
errors	(output) the L2 norm or true error of the error of the solution
flux	(input) value of the interpolated flux values

Reimplemented from TPZCompEl.

Reimplemented in TPZSBFemVolume.

Definition at line 1067 of file pzinterpolationspace.cpp.

References TPZMaterialData::axes, TPZIntPoints::Clone(), TPZMatrix< TVar >::Cols(), ComputeRequiredData(), ComputeShape(), TPZCompEl::ComputeSolution(), DebugStop, TPZMaterialData::detjac, TPZCompMesh::Dimension(), TPZCompEl::Dimension(), TPZMaterialData::dphi, TPZMaterialData::dphix, TPZMaterialData::dsol, TPZCompMesh::ElementSolution(), TPZMaterial::Errors(), TPZMaterial::ErrorsHdiv(), TPZMaterialData::EVecandShape, fabs, TPZVec< T >::Fill(), TPZMaterialData::fShapeType, TPZMaterialData::fVecShapeIndex, GetIntegrationRule(), TPZIntPoints::GetMaxOrder(), TPZIntPoints::GetOrder(), TPZCompEl::Index(), InitMaterialData(), TPZMaterialData::jacinv, TPZMaterialData::jacobian, LOGPZ_INFO, TPZCompEl::Material(), TPZCompEl::Mesh(), TPZVec< T >::NElements(), TPZMaterial::NEvalErrors(), TPZMaterial::NFluxes(), TPZIntPoints::NPoints(), TPZMaterial::NStateVariables(), TPZMaterialData::phi, TPZIntPoints::Point(), Print(), PZError, TPZCompEl::Reference(), TPZVec< T >::Resize(), TPZIntPoints::SetOrder(), TPZMaterialData::sol, sqrt, rdt::values, TPZMaterialData::x, and TPZGeoEl::X().

Referenced by ComputeRequiredData().

◆ ExistsInterface()

int TPZInterpolationSpace::ExistsInterface ( TPZGeoElSide geosd )

Verify existence of interface.

Definition at line 964 of file pzinterpolationspace.cpp.

References EInterface, TPZGeoElSide::Element(), TPZCompElSide::Element(), TPZGeoElSide::Neighbour(), TPZGeoElSide::Reference(), and TPZCompEl::Type().

Referenced by ComputeRequiredData(), and CreateInterfaces().

◆ ExpandShapeFunctions()

void TPZInterpolationSpace::ExpandShapeFunctions	(	TPZVec< int64_t > &	connectlist,
		TPZVec< int > &	dependencyorder,
		TPZVec< int > &	blocksizes,
		TPZFMatrix< REAL > &	phi,
		TPZFMatrix< REAL > &	dphi
	)

protected

Auxiliary method to expand a vector of shapefunctions and their derivatives to acount for constraints.

Parameters

connectlist	(input) vector of all connects to which the element will contribute
dependencyorder	(input) vector of indices which indicate the order in which the connects will be processed
blocksizes	(output) number of shapefunctions associated with each connect
phi	(input/output) values of the shapefunctions
dphi	(input/output) values of the derivatives of the shapefunctions As input the regular values of the shapefunctions are given and their derivatives if these shapefunctions are dependent upon other shapefunctions (because of constraints) then the vectors are expanded to include the value of the independent shapefunctions and their derivatives as well

Definition at line 1675 of file pzinterpolationspace.cpp.

References TPZCompMesh::ConnectVec(), TPZConnect::ExpandShape(), TPZCompEl::Mesh(), and TPZVec< T >::NElements().

Referenced by BuildTransferMatrix(), TPZInterpolatedElement::BuildTransferMatrix(), and GetPreferredOrder().

◆ GetIntegrationRule() [1/2]

virtual const TPZIntPoints& TPZInterpolationSpace::GetIntegrationRule ( ) const

overridepure virtual

Returns a reference to an integration rule suitable for integrating the interior of the element.

Reimplemented from TPZCompEl.

Implemented in TPZSBFemVolume, TPZCompElDisc, TPZReducedSpace, and TPZIntelGen< TSHAPE >.

Referenced by TPZInterpolatedElement::AdjustPreferredSideOrder(), TPZPostProcAnalysis::AutoBuildDisc(), BuildTransferMatrix(), TPZInterpolatedElement::BuildTransferMatrix(), TPZInterpolatedElement::CalcIntegral(), CalcResidual(), CalcStiff(), TPZInterpolatedElement::CompareElement(), ComputeError(), TPZSBFemVolume::ComputeKMatrices(), ComputeRequiredData(), TPZMGAnalysis::ElementError(), EvaluateError(), TPZCompElDisc::EvaluateSquareResidual2D(), TPZReducedSpace::GetIntegrationRule(), IntegrateSolution(), InterpolateSolution(), TPZInterpolatedElement::MeanSolution(), MinMaxSolutionValues(), TPZInterpolatedElement::Print(), and ProjectFlux().

◆ GetIntegrationRule() [2/2]

virtual TPZIntPoints& TPZInterpolationSpace::GetIntegrationRule ( )

pure virtual

Returns a reference to an integration rule suitable for integrating the interior of the element.

Implemented in TPZSBFemVolume, TPZCompElDisc, TPZReducedSpace, and TPZIntelGen< TSHAPE >.

◆ GetPreferredOrder()

virtual int TPZInterpolationSpace::GetPreferredOrder ( )

inlinevirtual

Returns the prefered order for the element.

Definition at line 304 of file pzinterpolationspace.h.

References BuildTransferMatrix(), ExpandShapeFunctions(), fPreferredOrder, GetSideOrient(), PRefine(), Read(), SetSideOrient(), and Write().

Referenced by TPZPostProcAnalysis::AutoBuildDisc(), TPZSBFemVolume::SetSkeleton(), and Solution().

◆ GetSideOrient()

int TPZInterpolationSpace::GetSideOrient ( int side )

virtual

It returns the normal orientation of the reference element by the side. Only side that has dimension larger than zero and smaller than me.

Parameters

side	side of the reference elemen

Reimplemented in TPZCompElHDiv< TSHAPE >, and TPZCompElHDivBound2< TSHAPE >.

Definition at line 1696 of file pzinterpolationspace.cpp.

References DebugStop, EQuadrilateral, TPZGeoEl::NCornerNodes(), TPZGeoEl::NormalOrientation(), TPZGeoEl::NSides(), TPZCompEl::Reference(), and TPZGeoEl::Type().

Referenced by TPZBuildMultiphysicsMesh::AddWrap(), and GetPreferredOrder().

◆ InitializeElementMatrix() [1/2]

void TPZInterpolationSpace::InitializeElementMatrix	(	TPZElementMatrix &	ek,
		TPZElementMatrix &	ef
	)

virtual

Initialize element matrix in which is computed CalcStiff.

Reimplemented in TPZReducedSpace.

Definition at line 429 of file pzinterpolationspace.cpp.

References TPZCompEl::Connect(), TPZCompEl::ConnectIndex(), DebugStop, TPZElementMatrix::EF, TPZElementMatrix::EK, TPZElementMatrix::fBlock, TPZElementMatrix::fConnect, TPZElementMatrix::fMat, TPZElementMatrix::fMesh, TPZElementMatrix::fOneRestraints, TPZElementMatrix::fType, TPZCompEl::GetShapeRestraints(), TPZCompEl::Material(), TPZCompEl::Mesh(), TPZCompEl::NConnects(), NConnectShapeF(), TPZConnect::NShape(), NShapeF(), TPZConnect::NState(), TPZMaterial::NStateVariables(), TPZMaterial::NumLoadCases(), TPZConnect::Order(), TPZFMatrix< TVar >::Redim(), TPZManVector< T, NumExtAlloc >::Resize(), TPZBlock< TVar >::Set(), and TPZBlock< TVar >::SetNBlocks().

Referenced by CalcResidual(), CalcStiff(), TPZSBFemVolume::ComputeKMatrices(), ComputeRequiredData(), TPZStructMatrixOR::ThreadData::ThreadWork(), TPZStructMatrixOT::ThreadData::ThreadWork(), and TPZStructMatrixOT::ThreadData::ThreadWorkResidual().

◆ InitializeElementMatrix() [2/2]

void TPZInterpolationSpace::InitializeElementMatrix ( TPZElementMatrix & ef )

virtual

Initialize element matrix in which is computed in CalcResidual.

Reimplemented in TPZReducedSpace.

Definition at line 479 of file pzinterpolationspace.cpp.

References TPZCompEl::Connect(), TPZCompEl::ConnectIndex(), DebugStop, TPZElementMatrix::EF, TPZElementMatrix::fBlock, TPZElementMatrix::fConnect, TPZElementMatrix::fMat, TPZElementMatrix::fMesh, TPZElementMatrix::fOneRestraints, TPZElementMatrix::fType, TPZCompEl::GetShapeRestraints(), TPZCompEl::Material(), TPZCompEl::Mesh(), TPZCompEl::NConnects(), NConnectShapeF(), TPZConnect::NShape(), NShapeF(), TPZConnect::NState(), TPZMaterial::NStateVariables(), TPZMaterial::NumLoadCases(), TPZConnect::Order(), TPZFMatrix< TVar >::Redim(), TPZManVector< T, NumExtAlloc >::Resize(), TPZBlock< TVar >::Set(), and TPZBlock< TVar >::SetNBlocks().

◆ InitMaterialData()

void TPZInterpolationSpace::InitMaterialData ( TPZMaterialData & data )

virtual

Initialize a material data and its attributes based on element dimension, number of state variables and material definitions.

Reimplemented in TPZCompElHDiv< TSHAPE >, TPZCompElHDivPressureBound< TSHAPE >, TPZReducedSpace, TPZCompElHDivBound2< TSHAPE >, TPZCompElHDivPressure< TSHAPE >, and TPZSBFemVolume.

Definition at line 127 of file pzinterpolationspace.cpp.

References TPZMaterialData::axes, DebugStop, TPZCompEl::Dimension(), TPZMaterialData::dphi, TPZMaterialData::dphix, TPZMaterialData::dsol, TPZMaterialData::EScalarShape, TPZMaterial::FillDataRequirements(), TPZMaterialData::fNeedsSol, TPZMaterialData::fShapeType, TPZMaterialData::gelElId, TPZGeoEl::Id(), TPZMaterialData::jacinv, TPZMaterialData::jacobian, TPZCompEl::Material(), NShapeF(), TPZMaterial::NStateVariables(), TPZMaterialData::phi, TPZFMatrix< TVar >::Redim(), TPZCompEl::Reference(), TPZManVector< T, NumExtAlloc >::Resize(), TPZVec< T >::size(), TPZMaterialData::sol, and TPZMaterialData::x.

Referenced by TPZCompElPostProc< TCOMPEL >::CalcResidual(), CalcResidual(), TPZAgglomerateElement::CalcStiff(), CalcStiff(), ComputeError(), TPZSBFemVolume::ComputeKMatrices(), TPZSBFemVolume::ComputeSolution(), EvaluateError(), TPZCompElDisc::EvaluateSquareResidual2D(), TPZInterfaceElement::InitMaterialData(), TPZCompElHDivBound2< TSHAPE >::InitMaterialData(), TPZCompElHDiv< TSHAPE >::InitMaterialData(), TPZMultiphysicsCompEl< TGeometry >::InitMaterialData(), TPZMultiphysicsCompEl< TGeometry >::Integrate(), IntegrateSolution(), ProjectFlux(), TPZSBFemVolume::Shape(), SideShapeFunction(), TPZMultiphysicsCompEl< TGeometry >::Solution(), and Solution().

◆ InnerRadius()

REAL TPZInterpolationSpace::InnerRadius ( )

virtual

Returns the inner radius value.

Reimplemented in TPZAgglomerateElement.

Definition at line 119 of file pzinterpolationspace.cpp.

References TPZGeoEl::ElementRadius(), PZError, and TPZCompEl::Reference().

Referenced by ComputeError(), TPZReducedSpace::ComputeRequiredData(), ComputeRequiredData(), and TPZAgglomerateElement::InnerRadius().

◆ Integrate()

void TPZInterpolationSpace::Integrate	(	int	variable,
		TPZVec< STATE > &	value
	)

overridevirtual

Integrates a variable over the element.

Reimplemented from TPZCompEl.

Definition at line 1297 of file pzinterpolationspace.cpp.

References IntegrateSolution().

Referenced by ComputeRequiredData().

◆ IntegrateSolution()

TPZVec< STATE > TPZInterpolationSpace::IntegrateSolution ( int variable ) const

overridevirtual

Integrate a variable over the element.

Reimplemented from TPZCompEl.

Definition at line 1216 of file pzinterpolationspace.cpp.

References TPZTransform< T >::Apply(), TPZMaterialData::axes, ComputeRequiredData(), DebugStop, TPZMaterialData::detjac, TPZCompMesh::Dimension(), TPZCompEl::Dimension(), fabs, TPZVec< T >::Fill(), TPZMaterialData::fNeedsSol, GetIntegrationRule(), InitMaterialData(), TPZMaterialData::intLocPtIndex, TPZMaterialData::jacinv, TPZMaterialData::jacobian, TPZGeoEl::Jacobian(), TPZCompEl::Material(), TPZCompEl::Mesh(), TPZTransform< T >::Multiply(), TPZGeoElSide::Neighbour(), TPZIntPoints::NPoints(), TPZGeoEl::NSides(), TPZMaterial::NSolutionVariables(), TPZIntPoints::Point(), PZError, TPZCompEl::Reference(), and TPZMaterial::Solution().

Referenced by ComputeRequiredData(), and Integrate().

◆ InterpolateSolution()

void TPZInterpolationSpace::InterpolateSolution ( TPZInterpolationSpace & coarsel )

Interpolates the solution into the degrees of freedom nodes from the degrees of freedom nodes from the coarse element.

Definition at line 542 of file pzinterpolationspace.cpp.

References TPZTransform< T >::Apply(), TPZCompMesh::Block(), TPZGeoEl::BuildTransform2(), TPZIntPoints::Clone(), ComputeShape(), TPZCompEl::ComputeSolution(), TPZCompEl::Connect(), dimension, TPZCompEl::Dimension(), ELU, fabs, GetIntegrationRule(), TPZIntPoints::GetMaxOrder(), TPZIntPoints::GetOrder(), TPZCompEl::Material(), MaxOrder(), TPZCompEl::Mesh(), TPZCompEl::NConnects(), TPZIntPoints::NPoints(), NShapeF(), TPZGeoEl::NSides(), TPZMaterial::NStateVariables(), TPZIntPoints::Point(), PZError, TPZCompEl::Reference(), TPZVec< T >::resize(), TPZConnect::SequenceNumber(), TPZIntPoints::SetOrder(), TPZBlock< TVar >::Size(), TPZMatrix< TVar >::SolveDirect(), and val().

Referenced by ComputeRequiredData(), TPZCompMesh::Discontinuous2Continuous(), TPZCompElDisc::Divide(), TPZInterpolatedElement::Divide(), and TPZCompElDisc::EvaluateSquareResidual2D().

◆ MaxOrder()

int TPZInterpolationSpace::MaxOrder ( )

virtual

Returns the max order of interpolation.

Reimplemented in TPZCompElDisc, TPZCompElHDiv< TSHAPE >, and TPZReducedSpace.

Definition at line 55 of file pzinterpolationspace.cpp.

References TPZCompEl::Connect(), TPZCompEl::ConnectIndex(), TPZCompEl::NConnects(), and TPZConnect::Order().

Referenced by AdjustIntegrationRule(), BuildTransferMatrix(), TPZCompElPostProc< TCOMPEL >::CalcResidual(), CalcResidual(), TPZInterfaceElement::CalcResidual(), TPZMultiphysicsCompEl< TGeometry >::CalcResidual(), TPZMultiphysicsInterfaceElement::CalcStiff(), CalcStiff(), TPZInterfaceElement::CalcStiff(), TPZMultiphysicsCompEl< TGeometry >::CalcStiff(), ComputeError(), TPZInterfaceElement::ComputeErrorFace(), TPZInterfaceElement::ComputeIntegrationOrder(), TPZInterfaceElement::ComputeRequiredData(), TPZCompElDisc::EvaluateSquareResidual2D(), TPZCreateApproximationSpace::Hybridize(), TPZInterfaceElement::InitializeIntegrationRule(), TPZMultiphysicsCompEl< TGeometry >::InitializeIntegrationRule(), TPZInterfaceElement::IntegrateInterface(), TPZMultiphysicsCompEl< TGeometry >::IntegrateSolution(), InterpolateSolution(), TPZReducedSpace::MaxOrder(), TPZCompElHDiv< TSHAPE >::MaxOrder(), TPZCompElDisc::MaxOrder(), TPZCompElDisc::MaxOrderExceptExternalShapes(), TPZMultiphysicsCompEl< TGeometry >::PolynomialOrder(), SideConnect(), TPZMultiphysicsCompEl< TGeometry >::Solution(), and Solution().

◆ MinMaxSolutionValues()

void TPZInterpolationSpace::MinMaxSolutionValues	(	TPZVec< STATE > &	min,
		TPZVec< STATE > &	max
	)

Returns minimum and maximum values for each state variable.

It is not a cheap method because it computes solution for all integration points ( with intrule.MaxOrder() )

Definition at line 1403 of file pzinterpolationspace.cpp.

References TPZIntPoints::Clone(), TPZCompEl::ComputeSolution(), DebugStop, TPZCompEl::Dimension(), GetIntegrationRule(), TPZIntPoints::GetMaxOrder(), TPZIntPoints::GetOrder(), TPZVec< T >::NElements(), TPZIntPoints::NPoints(), TPZIntPoints::Point(), and TPZIntPoints::SetOrder().

Referenced by ComputeRequiredData().

◆ NConnectShapeF()

virtual int TPZInterpolationSpace::NConnectShapeF	(	int	icon,
		int	order
	)		const

pure virtual

Returns the number of shapefunctions associated with a connect.

Implemented in TPZCompElDisc, TPZSBFemVolume, TPZCompElHDiv< TSHAPE >, TPZCompElHDivPressureBound< TSHAPE >, TPZCompElHDivBound2< TSHAPE >, TPZReducedSpace, TPZCompElHDivPressure< TSHAPE >, and TPZIntelGen< TSHAPE >.

Referenced by TPZInterpolatedElement::AdjustPreferredSideOrder(), TPZPostProcAnalysis::AutoBuildDisc(), BuildTransferMatrix(), TPZInterpolatedElement::CalcIntegral(), TPZCheckMesh::CheckConnectOrderConsistency(), TPZCheckMesh::CheckElementShapeDimension(), TPZInterpolatedElement::CreateMidSideConnect(), TPZInterfaceElement::InitializeElementMatrix(), InitializeElementMatrix(), TPZInterpolatedElement::NShapeF(), TPZInterpolatedElement::NSideShapeF(), TPZInterpolatedElement::Print(), TPZInterpolatedElement::RestrainSide(), SideConnect(), and TPZCheckRestraint::TPZCheckRestraint().

◆ NShapeF()

virtual int TPZInterpolationSpace::NShapeF ( ) const

pure virtual

It returns the shapes number of the element.

Implemented in TPZCompElDisc, TPZSBFemVolume, TPZInterpolatedElement, and TPZReducedSpace.

Referenced by BuildTransferMatrix(), TPZInterfaceElement::InitializeElementMatrix(), InitializeElementMatrix(), InitMaterialData(), InterpolateSolution(), NSideShapeF(), ProjectFlux(), and SideConnect().

◆ NSideConnects()

virtual int TPZInterpolationSpace::NSideConnects ( int iside ) const

pure virtual

Returns the number of dof nodes along side iside.

Implemented in TPZCompElDisc, TPZSBFemVolume, TPZCompElHDiv< TSHAPE >, TPZInterpolatedElement, TPZCompElHDivBound2< TSHAPE >, TPZIntelGen< TSHAPE >, and TPZReducedSpace.

Referenced by NSideShapeF(), and hdivCurvedJCompAppMath::SetupDisconnectedHdivboud().

◆ NSideShapeF()

int TPZInterpolationSpace::NSideShapeF ( int side ) const

inline

Returns the number of shape functions on a side.

Definition at line 59 of file pzinterpolationspace.h.

References NShapeF(), NSideConnects(), and SideConnectLocId().

◆ PRefine()

virtual void TPZInterpolationSpace::PRefine ( int order )

pure virtual

Change the preferred order for the element and proceed the adjust of the aproximation space
taking in acount the type of formulation and the neighbours of the element.

Implemented in TPZCompElDisc, TPZInterpolatedElement, TPZCompElHDiv< TSHAPE >, TPZSBFemVolume, and TPZReducedSpace.

Referenced by GetPreferredOrder(), and TPZSBFemVolume::PRefine().

◆ Print()

void TPZInterpolationSpace::Print ( std::ostream & out = std::cout ) const

overridevirtual

Prints the relevant data of the element to the output stream.

Reimplemented from TPZCompEl.

Reimplemented in TPZSBFemVolume, TPZCompElDisc, TPZAgglomerateElement, TPZCompElHDivBound2< TSHAPE >, TPZInterpolatedElement, and TPZCompElHDiv< TSHAPE >.

Definition at line 90 of file pzinterpolationspace.cpp.

References fPreferredOrder, and TPZCompEl::Print().

Referenced by BuildTransferMatrix(), TPZCompMesh::BuildTransferMatrix(), EvaluateError(), TPZInterpolatedElement::Print(), ProjectFlux(), and RemoveInterface().

◆ ProjectFlux()

void TPZInterpolationSpace::ProjectFlux	(	TPZElementMatrix &	ek,
		TPZElementMatrix &	ef
	)

overridevirtual

Integrate the solution over the element.

Will project the flux associated with the variational statement onto the finite element interpolation space

Parameters

ek	projection matrix
ef	inner product of the flux with the finite element interpolation space The ek matrix corresponds to an L2 (scalar) projection, the ef matrix contains multiple right hand sides, one for each component of the flux

Reimplemented from TPZCompEl.

Definition at line 1339 of file pzinterpolationspace.cpp.

References TPZMaterialData::axes, ComputeShape(), TPZCompEl::ComputeSolution(), TPZCompEl::ConnectIndex(), TPZMaterialData::detjac, TPZCompEl::Dimension(), TPZMaterialData::dphi, TPZMaterialData::dphix, TPZMaterialData::dsol, fabs, TPZElementMatrix::fBlock, TPZElementMatrix::fConnect, TPZMaterial::Flux(), TPZElementMatrix::fMat, GetIntegrationRule(), InitMaterialData(), TPZMaterialData::jacinv, TPZMaterialData::jacobian, LOGPZ_ERROR, TPZCompEl::Material(), TPZCompEl::NConnects(), TPZMaterial::NFluxes(), TPZIntPoints::NPoints(), NShapeF(), TPZMaterialData::phi, TPZIntPoints::Point(), Print(), TPZElementMatrix::Reset(), TPZFMatrix< TVar >::Resize(), TPZBlock< TVar >::SetNBlocks(), TPZMaterialData::sol, and TPZMaterialData::x.

Referenced by ComputeRequiredData().

◆ Read()

void TPZInterpolationSpace::Read	(	TPZStream &	buf,
		void *	context
	)

overridevirtual

Reads the element data from a stream.

Read the element data from a stream

Reimplemented from TPZCompEl.

Reimplemented in TPZCompElDisc, TPZCompElHDiv< TSHAPE >, TPZAgglomerateElement, TPZCompElHDivBound2< TSHAPE >, TPZCompElHDivPressure< TSHAPE >, TPZIntelGen< TSHAPE >, TPZCompElHDivPressureBound< TSHAPE >, TPZReducedSpace, and TPZInterpolatedElement.

Definition at line 1724 of file pzinterpolationspace.cpp.

References fPreferredOrder, TPZStream::Read(), and TPZCompEl::Read().

Referenced by GetPreferredOrder(), TPZInterpolatedElement::Read(), TPZReducedSpace::Read(), and TPZCompElDisc::Read().

◆ RemoveInterface()

void TPZInterpolationSpace::RemoveInterface ( int side )

Remove interface which is neighbour from side side.

Definition at line 1032 of file pzinterpolationspace.cpp.

References EInterface, TPZCompElSide::EqualLevelElementList(), TPZCompEl::Index(), LOGPZ_DEBUG, TPZVec< T >::NElements(), TPZGeoEl::NumInterfaces(), Print(), TPZGeoEl::Reference(), TPZManVector< T, NumExtAlloc >::Resize(), and TPZCompEl::Type().

Referenced by ComputeRequiredData(), and RemoveInterfaces().

◆ RemoveInterfaces()

void TPZInterpolationSpace::RemoveInterfaces ( )

Remove interfaces connected to this element.

Definition at line 977 of file pzinterpolationspace.cpp.

References DebugStop, TPZMaterial::Dimension(), TPZGeoElSide::Dimension(), EInterface, TPZCompElSide::HigherLevelElementList(), LOGPZ_DEBUG, LOGPZ_ERROR, LOGPZ_FATAL, TPZCompEl::Material(), TPZVec< T >::NElements(), TPZGeoEl::NSides(), TPZStack< T, NumExtAlloc >::Push(), PZError, TPZCompEl::Reference(), TPZCompElSide::Reference(), RemoveInterface(), TPZManVector< T, NumExtAlloc >::Resize(), and TPZCompEl::Type().

Referenced by TPZCompMesh::Coarsen(), ComputeRequiredData(), TPZCompMesh::Discontinuous2Continuous(), TPZCompElDisc::Divide(), TPZInterpolatedElement::Divide(), and TPZCompMesh::RemakeAllInterfaceElements().

◆ SetIntegrationRule()

virtual void TPZInterpolationSpace::SetIntegrationRule ( int order )

inlineoverridevirtual

Reimplemented from TPZCompEl.

Reimplemented in TPZSBFemVolume, TPZInterpolatedElement, TPZCompElHDiv< TSHAPE >, and TPZIntelGen< TSHAPE >.

Definition at line 106 of file pzinterpolationspace.h.

References ComputeShape(), Convert2Axes(), and Shape().

Referenced by AdjustIntegrationRule().

◆ SetPreferredOrder()

virtual void TPZInterpolationSpace::SetPreferredOrder ( int order )

pure virtual

Defines the desired order for entire element.

Implemented in TPZCompElDisc, TPZSBFemVolume, TPZReducedSpace, TPZInterpolatedElement, TPZCompElHDiv< TSHAPE >, TPZCompElHDivPressure< TSHAPE >, and TPZIntelGen< TSHAPE >.

Referenced by TPZPostProcAnalysis::AutoBuildDisc(), TPZCreateApproximationSpace::MakeRaviartThomas(), and TPZSBFemVolume::SetPreferredOrder().

◆ SetSideOrient()

void TPZInterpolationSpace::SetSideOrient	(	int	side,
		int	sideorient
	)

virtual

It set the normal orientation of the element by the side. Only side that has dimension equal to my dimension minus one.

Parameters

side	side of the reference elemen

Reimplemented in TPZCompElHDiv< TSHAPE >, and TPZCompElHDivBound2< TSHAPE >.

Definition at line 1718 of file pzinterpolationspace.cpp.

References DebugStop.

Referenced by TPZMHMixedHybridMeshControl::CreateAxialFluxElement(), TPZMHMixedHybridMeshControl::CreateHDivWrappers(), TPZMHMixedMeshControl::CreateSkeleton(), TPZMHMeshControl::CreateSkeleton(), GetPreferredOrder(), TPZMHMixedMeshControl::HybridizeSkeleton(), hdivCurvedJCompAppMath::SetupDisconnectedHdivboud(), TPZHybridizeHDiv::SplitConnects(), and TPZMHMixedHybridMeshControl::SplitFluxElementsAroundFractures().

◆ Shape()

virtual void TPZInterpolationSpace::Shape	(	TPZVec< REAL > &	qsi,
		TPZFMatrix< REAL > &	phi,
		TPZFMatrix< REAL > &	dphidxi
	)

pure virtual

Computes the shape function set at the point x.

Parameters

qsi	point in master element coordinates
phi	vector of values of shapefunctions, dimension (numshape,1)
dphi	matrix of derivatives of shapefunctions in master element coordinates, dimension (dim,numshape) This method uses the order of interpolation of the element along the sides to compute the number of shapefunctions

Implemented in TPZSBFemVolume, TPZCompElHDiv< TSHAPE >, TPZCompElDisc, TPZCompElHDivBound2< TSHAPE >, TPZCompElHDivPressureBound< TSHAPE >, TPZCompElHDivPressure< TSHAPE >, TPZIntelGen< TSHAPE >, and TPZReducedSpace.

Referenced by BuildTransferMatrix(), TPZInterpolatedElement::BuildTransferMatrix(), TPZInterpolatedElement::CalcIntegral(), ComputeShape(), TPZInterpolatedElement::ComputeSolution(), TPZMGAnalysis::ElementError(), SetIntegrationRule(), and SideShapeFunction().

◆ SideConnect()

TPZConnect& TPZInterpolationSpace::SideConnect	(	int	icon,
		int	is
	)		const

inline

Returns a pointer to the icon th connect object along side is.

Definition at line 85 of file pzinterpolationspace.h.

References AdjustIntegrationRule(), ComputeIntegrationOrder(), TPZCompEl::Connect(), MaxOrder(), NConnectShapeF(), NShapeF(), and SideConnectLocId().

◆ SideConnectIndex()

int64_t TPZInterpolationSpace::SideConnectIndex	(	int	icon,
		int	is
	)		const

inline

Returns the index of the c th connect object along side is.

Definition at line 78 of file pzinterpolationspace.h.

References TPZCompEl::ConnectIndex(), and SideConnectLocId().

◆ SideConnectLocId()

virtual int TPZInterpolationSpace::SideConnectLocId	(	int	icon,
		int	is
	)		const

pure virtual

Returns the local node number of icon along is.

Parameters

icon	connect number along side is
is	side which is being queried

Implemented in TPZCompElDisc, TPZSBFemVolume, TPZCompElHDiv< TSHAPE >, TPZInterpolatedElement, TPZCompElHDivBound2< TSHAPE >, TPZCompElHDivPressureBound< TSHAPE >, TPZIntelGen< TSHAPE >, and TPZReducedSpace.

Referenced by TPZBuildMultiphysicsMesh::AddWrap(), NSideShapeF(), hdivCurvedJCompAppMath::SetupDisconnectedHdivboud(), SideConnect(), and SideConnectIndex().

◆ SideShapeFunction()

virtual void TPZInterpolationSpace::SideShapeFunction	(	int	side,
		TPZVec< REAL > &	point,
		TPZFMatrix< REAL > &	phi,
		TPZFMatrix< REAL > &	dphi
	)

inlinevirtual

Compute the values of the shape function along the side.

Reimplemented in TPZCompElHDiv< TSHAPE >, TPZInterpolatedElement, TPZCompElHDivBound2< TSHAPE >, TPZCompElHDivPressureBound< TSHAPE >, TPZCompElHDivPressure< TSHAPE >, and TPZIntelGen< TSHAPE >.

Definition at line 141 of file pzinterpolationspace.h.

References ComputeRequiredData(), ComputeShape(), TPZGeoEl::Dimension(), InitMaterialData(), TPZGeoEl::NSides(), TPZGeoEl::ProjectPoint(), TPZCompEl::Reference(), and Shape().

◆ Solution()

void TPZInterpolationSpace::Solution	(	TPZVec< REAL > &	qsi,
		int	var,
		TPZVec< STATE > &	sol
	)

overridevirtual

Post processing method which computes the solution for the var post processed variable.

Parameters

qsi	coordinate of the point in master element space where the solution will be evaluated
var	variable which will be computed
sol	(output) solution computed at the given point

See also: TPZMaterial::VariableIndex; TPZMaterial::NSolutionVariables; TPZMaterial::SolutionThe var index is obtained by calling the TPZMaterial::VariableIndex method with a The Post Processing classes. processing name

Reimplemented from TPZCompEl.

Reimplemented in TPZSBFemVolume, TPZCompElHDiv< TSHAPE >, and TPZCompElHDivPressure< TSHAPE >.

Definition at line 508 of file pzinterpolationspace.cpp.

References ComputeShape(), TPZCompEl::ComputeSolution(), TPZVec< T >::Fill(), GetPreferredOrder(), InitMaterialData(), TPZCompEl::Material(), MaxOrder(), TPZMaterial::NSolutionVariables(), TPZMaterialData::p, TPZCompEl::Reference(), TPZManVector< T, NumExtAlloc >::Resize(), TPZVec< T >::Resize(), TPZMaterial::Solution(), TPZCompEl::Solution(), TPZMaterialData::x, and TPZGeoEl::X().

Referenced by TPZInterpolatedElement::CompareElement(), ComputeRequiredData(), TPZInterpolatedElement::MeanSolution(), and TPZCompElHDiv< TSHAPE >::Solution().

◆ VectorialProd()

void TPZInterpolationSpace::VectorialProd	(	TPZVec< REAL > &	ivec,
		TPZVec< REAL > &	jvec,
		TPZVec< REAL > &	kvec,
		bool	unitary = `false`
	)

Computes the vectorial product of two vectors and normalize the result if unitary is set to true.

Definition at line 288 of file pzinterpolationspace.cpp.

References TPZVec< T >::Resize(), and sqrt.

Referenced by ComputeNormal(), and ComputeRequiredData().

◆ Write()

void TPZInterpolationSpace::Write	(	TPZStream &	buf,
		int	withclassid
	)		const

overridevirtual

Saves the element data to a stream.

Save the element data to a stream

Reimplemented from TPZCompEl.

Reimplemented in TPZCompElDisc, TPZCompElHDiv< TSHAPE >, TPZAgglomerateElement, TPZCompElHDivBound2< TSHAPE >, TPZCompElHDivPressure< TSHAPE >, TPZIntelGen< TSHAPE >, TPZCompElHDivPressureBound< TSHAPE >, TPZReducedSpace, and TPZInterpolatedElement.

Definition at line 1396 of file pzinterpolationspace.cpp.

References fPreferredOrder, TPZStream::Write(), and TPZCompEl::Write().

Referenced by GetPreferredOrder(), TPZInterpolatedElement::Write(), TPZReducedSpace::Write(), and TPZCompElDisc::Write().

Member Data Documentation

◆ fPreferredOrder

int TPZInterpolationSpace::fPreferredOrder

protected

Preferred polynomial order.

Definition at line 296 of file pzinterpolationspace.h.

Referenced by GetPreferredOrder(), TPZIntelGen< TSHAPE >::PreferredSideOrder(), TPZCompElHDivBound2< TSHAPE >::PreferredSideOrder(), TPZCompElHDiv< TSHAPE >::PreferredSideOrder(), Print(), TPZIntelGen< TSHAPE >::Read(), TPZCompElHDivPressure< TSHAPE >::Read(), TPZCompElHDiv< TSHAPE >::Read(), Read(), TPZCompElDisc::SetDegree(), TPZIntelGen< TSHAPE >::SetInterpolationOrder(), TPZIntelGen< TSHAPE >::SetPreferredOrder(), TPZCompElHDivPressure< TSHAPE >::SetPreferredOrder(), TPZSBFemVolume::SetPreferredOrder(), TPZIntelGen< TSHAPE >::SetSideOrder(), TPZCompElHDiv< TSHAPE >::TPZCompElHDiv(), TPZCompElHDivBound2< TSHAPE >::TPZCompElHDivBound2(), TPZIntelGen< TSHAPE >::TPZIntelGen(), TPZInterpolationSpace(), TPZIntelGen< TSHAPE >::Write(), TPZCompElHDivPressure< TSHAPE >::Write(), TPZCompElHDiv< TSHAPE >::Write(), and Write().

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

Mesh/pzinterpolationspace.h
Mesh/pzinterpolationspace.cpp

Public Member Functions

Protected Member Functions

Protected Attributes

Computational methods

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ TPZInterpolationSpace() [1/5]

◆ ~TPZInterpolationSpace()

◆ TPZInterpolationSpace() [2/5]

◆ TPZInterpolationSpace() [3/5]

◆ TPZInterpolationSpace() [4/5]

◆ TPZInterpolationSpace() [5/5]

Member Function Documentation

◆ AdjustIntegrationRule()

◆ BuildTransferMatrix()

◆ CalcResidual()

◆ CalcStiff()

◆ ClassId()

◆ ComputeError()

◆ ComputeIntegrationOrder()

◆ ComputeNormal()

◆ ComputeRequiredData() [1/2]

◆ ComputeRequiredData() [2/2]

◆ ComputeShape() [1/2]

◆ ComputeShape() [2/2]

◆ Convert2Axes()

◆ CreateInterface()

◆ CreateInterfaces()

◆ EvaluateError()

◆ ExistsInterface()

◆ ExpandShapeFunctions()

◆ GetIntegrationRule() [1/2]

◆ GetIntegrationRule() [2/2]

◆ GetPreferredOrder()

◆ GetSideOrient()

◆ InitializeElementMatrix() [1/2]

◆ InitializeElementMatrix() [2/2]

◆ InitMaterialData()

◆ InnerRadius()

◆ Integrate()

◆ IntegrateSolution()

◆ InterpolateSolution()

◆ MaxOrder()

◆ MinMaxSolutionValues()

◆ NConnectShapeF()

◆ NShapeF()

◆ NSideConnects()

◆ NSideShapeF()

◆ PRefine()

◆ Print()

◆ ProjectFlux()

◆ Read()

◆ RemoveInterface()

◆ RemoveInterfaces()

◆ SetIntegrationRule()

◆ SetPreferredOrder()

◆ SetSideOrient()

◆ Shape()

◆ SideConnect()

◆ SideConnectIndex()

◆ SideConnectLocId()

◆ SideShapeFunction()

◆ Solution()

◆ VectorialProd()

◆ Write()

Member Data Documentation

◆ fPreferredOrder