#include <TPZMatLaplacian.h>

Inheritance diagram for TPZMatLaplacian:

Collaboration diagram for TPZMatLaplacian:

Public Member Functions
void	SetNoPenalty ()
	Defines no penalty terms in ContributeInterface. More...

void	SetFluxPenalty ()
	Defines flux penalty terms in ContributeInterface. More...

void	SetSolutionPenalty ()
	Defines solution penalty terms in ContributeInterface. More...

void	SetBothPenalty ()
	Defines solution and flux penalty terms in ContributeInterface. More...

	TPZMatLaplacian (int matid, int dim)

	TPZMatLaplacian (int matid)

	TPZMatLaplacian ()

	TPZMatLaplacian (const TPZMatLaplacian &copy)

virtual	~TPZMatLaplacian ()

TPZMatLaplacian &	operator= (const TPZMatLaplacian &copy)

void	SetSymmetric ()
	Set material elliptic term as the global element method, i.e. the symmetrical formulation. More...

void	SetNonSymmetric ()
	Set material elliptic term as the Baumann's formulation, i.e. the non-symmetrical formulation. More...

bool	IsSymetric ()

virtual TPZMaterial *	NewMaterial () override
	To create another material of the same type. More...

virtual void	FillDataRequirements (TPZMaterialData &data) override
	Fill material data parameter with necessary requirements for the. More...

virtual void	FillDataRequirementsInterface (TPZMaterialData &data) override
	Fill material data parameter with necessary requirements for the ContributeInterface method. More...

virtual void	FillBoundaryConditionDataRequirement (int type, TPZMaterialData &data) override
	This method defines which parameters need to be initialized in order to compute the contribution of the boundary condition. More...

virtual int	Dimension () const override
	Returns the integrable dimension of the material. More...

virtual int	NStateVariables () const override
	Returns the number of state variables associated with the material. More...

void	SetParameters (STATE diff, STATE f)
	Set a uniform diffusion constant and external flux. More...

void	GetParameters (STATE &diff, STATE &f) const
	Return the values of constant diffusion and external flux. More...

void	SetPermeability (REAL perm)

void	SetValPenaltyConstant (REAL penalty)

void	SetPermeabilityFunction (TPZAutoPointer< TPZFunction< STATE > > fp)

void	SetDimension (int dim)

virtual void	Print (std::ostream &out) override
	Prints out the data associated with the material. More...

virtual std::string	Name () override
	Returns the name of the material. More...

virtual int	VariableIndex (const std::string &name) override

virtual int	NSolutionVariables (int var) override
	Returns the number of variables associated with the variable indexed by var. More...

virtual int	NFluxes () override
	Returns the number of components which form the flux function. More...

virtual void	Solution (TPZMaterialData &data, int var, TPZVec< STATE > &Solout) override
	Returns the solution associated with the var index based on the finite element approximation. More...

virtual void	Solution (TPZVec< TPZMaterialData > &datavec, int var, TPZVec< STATE > &Solout) override
	Returns the solution associated with the var index based on the finite element approximation. More...

virtual void	Flux (TPZVec< REAL > &x, TPZVec< STATE > &Sol, TPZFMatrix< STATE > &DSol, TPZFMatrix< REAL > &axes, TPZVec< STATE > &flux) override
	Computes the value of the flux function to be used by ZZ error estimator. More...

virtual void	Errors (TPZVec< REAL > &x, TPZVec< STATE > &u, TPZFMatrix< STATE > &dudx, TPZFMatrix< REAL > &axes, TPZVec< STATE > &flux, TPZVec< STATE > &u_exact, TPZFMatrix< STATE > &du_exact, TPZVec< REAL > &values) override
	Computes the error due to the difference between the interpolated flux and the flux computed based on the derivative of the solution. More...

void	ErrorsHdiv (TPZMaterialData &data, TPZVec< STATE > &u_exact, TPZFMatrix< STATE > &du_exact, TPZVec< REAL > &values) override

virtual int	NEvalErrors () override
	Returns the number of norm errors. Default is 3: energy, L2 and H1. More...

virtual REAL	ComputeSquareResidual (TPZVec< REAL > &X, TPZVec< STATE > &sol, TPZFMatrix< STATE > &dsol) override
	Compute square of residual of the differential equation at one integration point. More...

void	InterfaceErrors (TPZVec< REAL > &, TPZVec< STATE > &leftu, TPZFMatrix< STATE > &leftdudx, TPZVec< STATE > &rightu, TPZFMatrix< STATE > &rightdudx, TPZVec< STATE > &, TPZVec< STATE > &u_exact, TPZFMatrix< STATE > &du_exact, TPZVec< REAL > &values, TPZVec< STATE > normal, STATE elsize)

virtual void	BCInterfaceJump (TPZVec< REAL > &x, TPZSolVec &leftu, TPZBndCond &bc, TPZSolVec &jump) override
	Computes interface jump from element to Dirichlet boundary condition. More...

virtual int	IsInterfaceConservative () override
	Dicontinuous galerkin materials implement contribution of discontinuous elements and interfaces. More...

virtual int	ClassId () const override
	Unique identifier for serialization purposes. 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...

Contribute methods (weak formulation)
virtual void	Contribute (TPZMaterialData &data, REAL weight, TPZFMatrix< STATE > &ek, TPZFMatrix< STATE > &ef) override
	It computes a contribution to the stiffness matrix and load vector at one integration point. More...

virtual void	Contribute (TPZMaterialData &data, REAL weight, TPZFMatrix< STATE > &ef) override
	It computes a contribution to the residual vector at one integration point. More...

virtual void	Contribute (TPZVec< TPZMaterialData > &datavec, REAL weight, TPZFMatrix< STATE > &ek, TPZFMatrix< STATE > &ef) override
	It computes a contribution to the stiffness matrix and load vector at one integration point to multiphysics simulation. More...

virtual void	ContributeBCHDiv (TPZMaterialData &data, REAL weight, TPZFMatrix< STATE > &ek, TPZFMatrix< STATE > &ef, TPZBndCond &bc)

virtual void	ContributeHDiv (TPZMaterialData &data, REAL weight, TPZFMatrix< STATE > &ek, TPZFMatrix< STATE > &ef)
	Compute the contribution at an integration point to the stiffness matrix of the HDiv formulation. More...

virtual void	ContributeBC (TPZMaterialData &data, REAL weight, TPZFMatrix< STATE > &ek, TPZFMatrix< STATE > &ef, TPZBndCond &bc) override
	It computes a contribution to the stiffness matrix and load vector at one BC integration point. More...

virtual void	ContributeBC (TPZVec< TPZMaterialData > &datavec, REAL weight, TPZFMatrix< STATE > &ek, TPZFMatrix< STATE > &ef, TPZBndCond &bc) override
	It computes a contribution to the stiffness matrix and load vector at one BC integration point to multiphysics simulation. More...

virtual void	ContributeBCInterface (TPZMaterialData &data, TPZMaterialData &dataleft, REAL weight, TPZFMatrix< STATE > &ek, TPZFMatrix< STATE > &ef, TPZBndCond &bc) override

virtual void	ContributeInterface (TPZMaterialData &data, TPZMaterialData &dataleft, TPZMaterialData &dataright, REAL weight, TPZFMatrix< STATE > &ek, TPZFMatrix< STATE > &ef) override
	It computes a contribution to stiffness matrix and load vector at one integration point. More...

Public Member Functions inherited from TPZDiscontinuousGalerkin
	TPZDiscontinuousGalerkin ()
	Simple constructor. More...

	TPZDiscontinuousGalerkin (int nummat)
	Constructor with the index of the material object within the vector. More...

	TPZDiscontinuousGalerkin (const TPZDiscontinuousGalerkin &copy)
	Copy constructor. More...

virtual	~TPZDiscontinuousGalerkin ()
	Destructor. More...

virtual int	GetIntegrationOrder (TPZVec< int > &porder_left, TPZVec< int > &porder_right) const
	return the integration order as a function of interpolation orders of the left and right elements More...

virtual void	InterfaceJump (TPZVec< REAL > &x, TPZSolVec &leftu, TPZSolVec &rightu, TPZSolVec &jump)
	Computes interface jump = leftu - rightu. More...

virtual void	ContributeInterfaceErrors (TPZMaterialData &data, TPZMaterialData &dataleft, TPZMaterialData &dataright, REAL weight, TPZVec< STATE > &nkL, TPZVec< STATE > &nkR, int &errorid)

virtual void	ContributeInterfaceBCErrors (TPZMaterialData &data, TPZMaterialData &dataleft, REAL weight, TPZVec< STATE > &nk, TPZBndCond &bc, int &errorid)

virtual void	Errors (TPZMaterialData &data, TPZVec< STATE > &u_exact, TPZFMatrix< STATE > &du_exact, TPZVec< REAL > &errors) override

virtual void	Errors (TPZVec< TPZMaterialData > &data, TPZVec< STATE > &u_exact, TPZFMatrix< STATE > &du_exact, TPZVec< REAL > &errors) override

virtual void	Contribute (TPZVec< TPZMaterialData > &datavec, REAL weight, TPZFMatrix< STATE > &ef) override
	It computes a contribution to the stiffness matrix and load vector at one integration point to multiphysics simulation. More...

virtual void	ContributeBC (TPZMaterialData &data, REAL weight, TPZFMatrix< STATE > &ef, TPZBndCond &bc) override
	It computes a contribution to the stiffness matrix and load vector at one BC integration point. More...

virtual void	ContributeBC (TPZVec< TPZMaterialData > &datavec, REAL weight, TPZFMatrix< STATE > &ef, TPZBndCond &bc) override
	It computes a contribution to the stiffness matrix and load vector at one BC integration point to multiphysics simulation. More...

virtual void	ContributeInterface (TPZVec< TPZMaterialData > &datavec, TPZVec< TPZMaterialData > &dataleftvec, TPZVec< TPZMaterialData > &datarightvec, REAL weight, TPZFMatrix< STATE > &ek, TPZFMatrix< STATE > &ef)

virtual void	ContributeInterface (TPZMaterialData &data, TPZVec< TPZMaterialData > &dataleft, TPZVec< TPZMaterialData > &dataright, REAL weight, TPZFMatrix< STATE > &ek, TPZFMatrix< STATE > &ef)
	Computes a contribution to the stiffness matrix and load vector at one integration point to multiphysics simulation. More...

virtual void	ContributeInterface (TPZMaterialData &data, TPZMaterialData &dataleft, TPZMaterialData &dataright, REAL weight, TPZFMatrix< STATE > &ef)
	It computes a contribution to residual vector at one integration point. More...

virtual void	ContributeInterface (TPZMaterialData &data, TPZVec< TPZMaterialData > &dataleft, TPZVec< TPZMaterialData > &dataright, REAL weight, TPZFMatrix< STATE > &ef)
	Computes a contribution to residual vector at one integration point. More...

virtual void	ContributeBCInterface (TPZMaterialData &data, TPZVec< TPZMaterialData > &dataleft, REAL weight, TPZFMatrix< STATE > &ek, TPZFMatrix< STATE > &ef, TPZBndCond &bc)
	It computes a contribution to stiffness matrix and load vector at one BC integration point to multiphysics simulation. More...

virtual void	ContributeBCInterface (TPZMaterialData &data, TPZMaterialData &dataleft, REAL weight, TPZFMatrix< STATE > &ef, TPZBndCond &bc)
	It computes a contribution to residual vector at one BC integration point. More...

void	SolutionDisc (TPZMaterialData &data, TPZMaterialData &dataleft, TPZMaterialData &dataright, int var, TPZVec< STATE > &Solout)
	Returns the solution associated with the var index based on the finite element approximation. More...

Public Member Functions inherited from TPZMaterial
	TPZMaterial (int id)
	Creates a material object and inserts it in the vector of material pointers of the mesh. More...

	TPZMaterial ()
	Default constructor. More...

	TPZMaterial (const TPZMaterial &mat)
	Creates a material object based on the referred object and inserts it in the vector of material pointers of the mesh. More...

TPZMaterial &	operator= (const TPZMaterial &copy)
	operator = More...

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

virtual void	FillDataRequirements (TPZVec< TPZMaterialData > &datavec)
	Fill material data parameter with necessary requirements for the Contribute method. Here, in base class, all requirements are considered as necessary. Each derived class may optimize performance by selecting only the necessary data. More...

virtual void	FillBoundaryConditionDataRequirement (int type, TPZVec< TPZMaterialData > &datavec)
	This method defines which parameters need to be initialized in order to compute the contribution of the boundary condition. More...

virtual void	FillDataRequirementsInterface (TPZMaterialData &data, TPZVec< TPZMaterialData > &datavec_left, TPZVec< TPZMaterialData > &datavec_right)
	This method defines which parameters need to be initialized in order to compute the contribution of interface elements. More...

int	Id () const

void	SetId (int id)

int	NumLoadCases ()
	returns the number of load cases for this material object More...

virtual int	MinimumNumberofLoadCases ()
	returns the minimum number of load cases for this material More...

void	SetNumLoadCases (int numloadcases)
	changes the number of load cases for this material More...

void	SetPostProcessIndex (int index)
	indicates which variable should be post processed More...

virtual TPZBndCond *	CreateBC (TPZMaterial *reference, int id, int typ, TPZFMatrix< STATE > &val1, TPZFMatrix< STATE > &val2)
	Creates an object TPZBndCond derived of TPZMaterial. More...

void	SetForcingFunction (TPZAutoPointer< TPZFunction< STATE > > fp)
	Sets a procedure as source function for the material. More...

void	SetForcingFunction (void(*fp)(const TPZVec< REAL > &loc, TPZVec< STATE > &result), int porder)

void	SetForcingFunction (void(*fp)(const TPZVec< REAL > &loc, TPZVec< STATE > &result, TPZFMatrix< STATE > &gradu), int porder)

TPZAutoPointer< TPZFunction< STATE > > &	ForcingFunction ()
	Returns a procedure as source function for the material. More...

void	SetForcingFunctionExact (TPZAutoPointer< TPZFunction< STATE > > fp)
	Sets a procedure as exact solution for the problem. More...

TPZAutoPointer< TPZFunction< STATE > > &	ForcingFunctionExact ()
	Returns a procedure as exact solution for the problem. More...

void	SetTimeDependentForcingFunction (TPZAutoPointer< TPZFunction< STATE > > fp)
	Sets a procedure as time dependent source function for the material. More...

TPZAutoPointer< TPZFunction< STATE > > &	TimeDependentForcingFunction ()
	Returns a procedure as time dependent source function for the material. More...

void	SetTimeDependentFunctionExact (TPZAutoPointer< TPZFunction< STATE > > fp)
	Sets a procedure as time dependent exact solution for the problem. More...

TPZAutoPointer< TPZFunction< STATE > > &	TimedependentFunctionExact ()
	Returns a procedure as time dependent exact solution for the problem. More...

void	SetBCForcingFunction (TPZAutoPointer< TPZFunction< STATE > > fp)
	Sets a procedure as variable boundary condition. More...

TPZAutoPointer< TPZFunction< STATE > > &	BCForcingFunction ()
	Returns a procedure as variable boundary condition. More...

void	SetTimedependentBCForcingFunction (TPZAutoPointer< TPZFunction< STATE > > fp)
	Sets a procedure as time variable boundary condition. More...

TPZAutoPointer< TPZFunction< STATE > > &	TimedependentBCForcingFunction ()
	Returns a procedure as time variable boundary condition. More...

virtual int	HasForcingFunction ()
	Directive that gives true if the material has a forcing function. More...

virtual int	HasForcingFunctionExact ()
	Directive that gives true if the material has a function exact. More...

virtual int	HasBCForcingFunction ()
	Directive that gives true if the material has a bc forcing function exact. More...

virtual int	HasTimedependentFunctionExact ()
	Directive that gives true if the material has a time dependent function exact. More...

virtual int	HasTimedependentForcingFunction ()
	Directive that gives true if the material has a time dependent forcing function. More...

virtual int	HasTimedependentBCForcingFunction ()
	Directive that gives true if the material has a time dependent bc forcing function. More...

virtual int	IntegrationRuleOrder (int elPMaxOrder) const
	Gets the order of the integration rule necessary to integrate an element with polinomial order p. More...

virtual int	IntegrationRuleOrder (TPZVec< int > &elPMaxOrder) const
	Gets the order of the integration rule necessary to integrate an element multiphysic. More...

virtual void	SetData (std::istream &data)
	Reads data of the material from a istream (file data) More...

virtual void	Clone (std::map< int, TPZMaterial * > &matvec)
	Creates a copy of the material object and put it in the vector which is passed on. More...

virtual int	FluxType ()
	To return a numerical flux type to apply over the interfaces of the elements. More...

virtual void	ContributeErrors (TPZMaterialData &data, REAL weight, TPZVec< REAL > &nk, int &errorid)

virtual int	PushMemItem (int sourceIndex=-1)
	Pushes a new entry in the context of materials with memory, returning its index at the internal storage stack. More...

virtual void	FreeMemItem (int index)
	Frees an entry in the material with memory internal history storage. More...

void	SetLinearContext (bool IsLinear)
	Sets fLinearContext attribute. More...

bool	GetLinearContext () const
	Returns fLinearContext attribute. More...

virtual void	Solution (TPZMaterialData &data, TPZVec< TPZMaterialData > &dataleftvec, TPZVec< TPZMaterialData > &datarightvec, int var, TPZVec< STATE > &Solout)
	Returns the solution associated with the var index based on the finite element approximation around one interface element. More...

virtual void	Solution (TPZMaterialData &data, TPZVec< TPZMaterialData > &dataleftvec, TPZVec< TPZMaterialData > &datarightvec, int var, TPZVec< STATE > &Solout, TPZCompEl left, TPZCompEl ritgh)
	Returns the solution associated with the var index based on the finite element approximation around one interface element. 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

Public Attributes
REAL	fPenaltyConstant
	Constant multiplier of penalty term, when required is set. More...

Protected Types
enum	EPenaltyType { ENoPenalty, EFluxPenalty, ESolutionPenalty, EBoth }
	Enumerate for penalty term definitions. More...

Protected Member Functions
virtual void	Solution (TPZVec< STATE > &Sol, TPZFMatrix< STATE > &DSol, TPZFMatrix< REAL > &axes, int var, TPZVec< STATE > &Solout) override

Protected Member Functions inherited from TPZMaterial

Protected Attributes
STATE	fXf
	Forcing function value. More...

int	fDim
	Problem dimension. More...

STATE	fK
	Coeficient which multiplies the Laplacian operator. More...

TPZFNMatrix< 9, STATE >	fTensorK
	Tensor de permeabilidade. More...

TPZFNMatrix< 9, STATE >	fInvK

REAL	fSymmetry
	Symmetry coefficient of elliptic term. More...

EPenaltyType	fPenaltyType
	Penalty term definition. More...

TPZAutoPointer< TPZFunction< STATE > >	fPermeabilityFunction
	Pointer to forcing function, it is the Permeability and its inverse. More...

Protected Attributes inherited from TPZMaterial
TPZAutoPointer< TPZFunction< STATE > >	fForcingFunction
	Pointer to forcing function, it is the right member at differential equation. More...

TPZAutoPointer< TPZFunction< STATE > >	fForcingFunctionExact
	Pointer to exact solution function, needed to calculate exact error. More...

TPZAutoPointer< TPZFunction< STATE > >	fTimeDependentForcingFunction
	Pointer to time dependent forcing function, it is the right member at differential equation. More...

TPZAutoPointer< TPZFunction< STATE > >	fTimedependentFunctionExact
	Pointer to time dependent exact solution function, needed to calculate exact error. More...

TPZAutoPointer< TPZFunction< STATE > >	fBCForcingFunction
	Pointer to bc forcing function, it is a variable boundary condition at differential equation. More...

TPZAutoPointer< TPZFunction< STATE > >	fTimedependentBCForcingFunction
	Pointer to time dependent bc forcing function, it is a variable boundary condition at differential equation. More...

bool	fLinearContext
	Defines whether the equation context is linear solver or non linear. More...

int	fNumLoadCases
	Defines the number of load cases generated by this material. More...

int	fPostProcIndex
	indicates which solution should be used for post processing More...

Additional Inherited Members
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)

Static Public Attributes inherited from TPZMaterial
static REAL	gBigNumber
	Big number to penalization method, used for Dirichlet conditions. More...

Detailed Description

$ -fK Laplac(u) = fXf $

Definition at line 20 of file TPZMatLaplacian.h.

Member Enumeration Documentation

◆ EPenaltyType

enum TPZMatLaplacian::EPenaltyType

protected

Enumerate for penalty term definitions.

Enumerator
ENoPenalty
EFluxPenalty
ESolutionPenalty
EBoth

Definition at line 44 of file TPZMatLaplacian.h.

Constructor & Destructor Documentation

◆ TPZMatLaplacian() [1/4]

TPZMatLaplacian::TPZMatLaplacian	(	int	matid,
		int	dim
	)

Definition at line 27 of file TPZMatLaplacian.cpp.

References fInvK, fK, fPenaltyConstant, fTensorK, SetNonSymmetric(), and SetNoPenalty().

◆ TPZMatLaplacian() [2/4]

TPZMatLaplacian::TPZMatLaplacian ( int matid )

inline

Definition at line 71 of file TPZMatLaplacian.h.

References operator=(), TPZMatLaplacian(), and ~TPZMatLaplacian().

◆ TPZMatLaplacian() [3/4]

TPZMatLaplacian::TPZMatLaplacian ( )

Definition at line 40 of file TPZMatLaplacian.cpp.

References fK, fPenaltyConstant, SetNonSymmetric(), and SetNoPenalty().

Referenced by NewMaterial(), SetBothPenalty(), and TPZMatLaplacian().

◆ TPZMatLaplacian() [4/4]

TPZMatLaplacian::TPZMatLaplacian ( const TPZMatLaplacian & copy )

Definition at line 48 of file TPZMatLaplacian.cpp.

References operator=().

◆ ~TPZMatLaplacian()

TPZMatLaplacian::~TPZMatLaplacian ( )

virtual

Definition at line 84 of file TPZMatLaplacian.cpp.

Referenced by TPZMatLaplacian().

Member Function Documentation

◆ BCInterfaceJump()

void TPZMatLaplacian::BCInterfaceJump	(	TPZVec< REAL > &	x,
		TPZSolVec &	leftu,
		TPZBndCond &	bc,
		TPZSolVec &	jump
	)

overridevirtual

Computes interface jump from element to Dirichlet boundary condition.

Returns: Returns sol-u_dirichlet

Since: Mar 08, 2006

Reimplemented from TPZDiscontinuousGalerkin.

Definition at line 782 of file TPZMatLaplacian.cpp.

References test::f, TPZVec< T >::Fill(), TPZManVector< T, NumExtAlloc >::Resize(), TPZVec< T >::size(), TPZBndCond::Type(), and TPZBndCond::Val2().

Referenced by NEvalErrors().

◆ ClassId()

int TPZMatLaplacian::ClassId ( ) const

overridevirtual

Unique identifier for serialization purposes.

Reimplemented from TPZDiscontinuousGalerkin.

Definition at line 1156 of file TPZMatLaplacian.cpp.

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

Referenced by IsInterfaceConservative().

◆ ComputeSquareResidual()

REAL TPZMatLaplacian::ComputeSquareResidual	(	TPZVec< REAL > &	X,
		TPZVec< STATE > &	sol,
		TPZFMatrix< STATE > &	dsol
	)

overridevirtual

Compute square of residual of the differential equation at one integration point.

Parameters

X	is the point coordinate (x,y,z)
sol	is the solution vector
dsol	is the solution derivative with respect to x,y,z as computed in TPZShapeDisc::Shape2DFull

Reimplemented from TPZMaterial.

Definition at line 1117 of file TPZMatLaplacian.cpp.

References abs(), Dimension(), TPZFunction< TVar >::Execute(), TPZMaterial::fForcingFunction, fK, fXf, and test::res.

Referenced by NEvalErrors().

◆ Contribute() [1/3]

void TPZMatLaplacian::Contribute	(	TPZMaterialData &	data,
		REAL	weight,
		TPZFMatrix< STATE > &	ek,
		TPZFMatrix< STATE > &	ef
	)

overridevirtual

It computes a contribution to the stiffness matrix and load vector at one integration point.

Parameters

data	[in] stores all input data
weight	[in] is the weight of the integration rule
ek	[out] is the stiffness matrix
ef	[out] is the load vector

Since: April 16, 2007

Implements TPZDiscontinuousGalerkin.

Definition at line 101 of file TPZMatLaplacian.cpp.

References ContributeHDiv(), TPZMaterialData::dphix, TPZFunction< TVar >::Execute(), fDim, TPZMaterial::fForcingFunction, fK, fPermeabilityFunction, fXf, IsSymetric(), TPZMaterialData::numberdualfunctions, TPZMaterialData::phi, test::res, TPZMatrix< TVar >::Rows(), TPZMatrix< TVar >::VerifySymmetry(), and TPZMaterialData::x.

Referenced by Name().

◆ Contribute() [2/3]

void TPZMatLaplacian::Contribute	(	TPZMaterialData &	data,
		REAL	weight,
		TPZFMatrix< STATE > &	ef
	)

overridevirtual

It computes a contribution to the residual vector at one integration point.

Parameters

data	[in] stores all input data
weight	[in] is the weight of the integration rule
ef	[out] is the residual vector

Since: April 16, 2007

Reimplemented from TPZDiscontinuousGalerkin.

Definition at line 155 of file TPZMatLaplacian.cpp.

References DebugStop, TPZMaterialData::dphix, TPZMaterialData::dsol, TPZFunction< TVar >::Execute(), fDim, TPZMaterial::fForcingFunction, fK, fXf, TPZMaterialData::numberdualfunctions, TPZMaterialData::phi, test::res, TPZMatrix< TVar >::Rows(), and TPZMaterialData::x.

◆ Contribute() [3/3]

virtual void TPZMatLaplacian::Contribute	(	TPZVec< TPZMaterialData > &	datavec,
		REAL	weight,
		TPZFMatrix< STATE > &	ek,
		TPZFMatrix< STATE > &	ef
	)

inlineoverridevirtual

It computes a contribution to the stiffness matrix and load vector at one integration point to multiphysics simulation.

Parameters

datavec	[in] stores all input data
weight	[in] is the weight of the integration rule
ek	[out] is the stiffness matrix
ef	[out] is the load vector

Reimplemented from TPZDiscontinuousGalerkin.

Definition at line 200 of file TPZMatLaplacian.h.

References bc, TPZDiscontinuousGalerkin::Contribute(), ContributeBC(), ContributeBCHDiv(), ContributeBCInterface(), ContributeHDiv(), ContributeInterface(), NSolutionVariables(), and VariableIndex().

◆ ContributeBC() [1/2]

void TPZMatLaplacian::ContributeBC	(	TPZMaterialData &	data,
		REAL	weight,
		TPZFMatrix< STATE > &	ek,
		TPZFMatrix< STATE > &	ef,
		TPZBndCond &	bc
	)

overridevirtual

It computes a contribution to the stiffness matrix and load vector at one BC integration point.

Parameters

data	[in] stores all input data
weight	[in] is the weight of the integration rule
ek	[out] is the stiffness matrix
ef	[out] is the load vector
bc	[in] is the boundary condition material

Since: October 07, 2011

Implements TPZDiscontinuousGalerkin.

Definition at line 321 of file TPZMatLaplacian.cpp.

References ContributeBCHDiv(), TPZMaterialData::EVecandShape, TPZMaterialData::EVecShape, TPZFunction< TVar >::Execute(), TPZMaterial::ForcingFunction(), TPZMaterialData::fShapeType, TPZMaterial::gBigNumber, TPZMaterial::HasForcingFunction(), IsSymetric(), TPZMaterialData::phi, test::res, TPZMatrix< TVar >::Rows(), TPZBndCond::Type(), TPZBndCond::Val1(), TPZBndCond::Val2(), TPZMatrix< TVar >::VerifySymmetry(), and TPZMaterialData::x.

Referenced by Contribute(), and ContributeBC().

◆ ContributeBC() [2/2]

void TPZMatLaplacian::ContributeBC	(	TPZVec< TPZMaterialData > &	datavec,
		REAL	weight,
		TPZFMatrix< STATE > &	ek,
		TPZFMatrix< STATE > &	ef,
		TPZBndCond &	bc
	)

overridevirtual

It computes a contribution to the stiffness matrix and load vector at one BC integration point to multiphysics simulation.

Parameters

datavec	[in] stores all input data
weight	[in] is the weight of the integration rule
ek	[out] is the stiffness matrix
ef	[out] is the load vector
bc	[in] is the boundary condition material

Since: October 18, 2011

Reimplemented from TPZDiscontinuousGalerkin.

Definition at line 316 of file TPZMatLaplacian.cpp.

References ContributeBC().

◆ ContributeBCHDiv()

void TPZMatLaplacian::ContributeBCHDiv	(	TPZMaterialData &	data,
		REAL	weight,
		TPZFMatrix< STATE > &	ek,
		TPZFMatrix< STATE > &	ef,
		TPZBndCond &	bc
	)

virtual

Definition at line 260 of file TPZMatLaplacian.cpp.

References TPZFunction< TVar >::Execute(), TPZMaterial::ForcingFunction(), TPZMaterial::gBigNumber, TPZMaterial::HasForcingFunction(), IsSymetric(), TPZMaterialData::phi, TPZMatrix< TVar >::Rows(), TPZBndCond::Type(), TPZBndCond::Val1(), TPZBndCond::Val2(), TPZMatrix< TVar >::VerifySymmetry(), and TPZMaterialData::x.

Referenced by Contribute(), and ContributeBC().

◆ ContributeBCInterface()

void TPZMatLaplacian::ContributeBCInterface	(	TPZMaterialData &	data,
		TPZMaterialData &	dataleft,
		REAL	weight,
		TPZFMatrix< STATE > &	ek,
		TPZFMatrix< STATE > &	ef,
		TPZBndCond &	bc
	)

overridevirtual

Termos de penalidade.

Implements TPZDiscontinuousGalerkin.

Definition at line 1004 of file TPZMatLaplacian.cpp.

References abs(), TPZMaterialData::dphix, EBoth, ESolutionPenalty, TPZFunction< TVar >::Execute(), fDim, fK, TPZMaterial::ForcingFunction(), fPenaltyConstant, fPenaltyType, fSymmetry, TPZMaterial::HasForcingFunction(), TPZMaterialData::HSize, IsSymetric(), TPZMaterialData::normal, TPZMaterialData::p, TPZMaterialData::phi, PZError, test::res, TPZMatrix< TVar >::Rows(), TPZBndCond::Type(), TPZBndCond::Val2(), TPZMatrix< TVar >::VerifySymmetry(), and TPZMaterialData::x.

Referenced by Contribute().

◆ ContributeHDiv()

void TPZMatLaplacian::ContributeHDiv	(	TPZMaterialData &	data,
		REAL	weight,
		TPZFMatrix< STATE > &	ek,
		TPZFMatrix< STATE > &	ef
	)

virtual

Compute the contribution at an integration point to the stiffness matrix of the HDiv formulation.

monta a matriz |A B^T | = |0 | |B 0 | |f |

Definition at line 193 of file TPZMatLaplacian.cpp.

References TPZMaterialData::axes, TPZMaterialData::dphix, TPZFunction< TVar >::Execute(), fDim, TPZMaterial::fForcingFunction, fK, TPZMaterialData::fNormalVec, TPZMaterialData::fVecShapeIndex, fXf, TPZMatrix< TVar >::Multiply(), TPZVec< T >::NElements(), TPZMaterialData::numberdualfunctions, TPZMaterialData::phi, test::res, TPZMatrix< TVar >::Rows(), and TPZMaterialData::x.

Referenced by Contribute().

◆ ContributeInterface()

void TPZMatLaplacian::ContributeInterface	(	TPZMaterialData &	data,
		TPZMaterialData &	dataleft,
		TPZMaterialData &	dataright,
		REAL	weight,
		TPZFMatrix< STATE > &	ek,
		TPZFMatrix< STATE > &	ef
	)

overridevirtual

It computes a contribution to stiffness matrix and load vector at one integration point.

Parameters

data	[in]
dataleft	[in]
dataright	[in]
weight	[in]
ek	[out] is the stiffness matrix
ef	[out] is the load vector

Since: April 16, 2007

Reimplemented from TPZDiscontinuousGalerkin.

Definition at line 797 of file TPZMatLaplacian.cpp.

References abs(), TPZMaterialData::axes, TPZAxesTools< TVar >::Axes2XYZ(), TPZMaterialData::dphix, EBoth, EFluxPenalty, ESolutionPenalty, fDim, fK, fPenaltyConstant, fPenaltyType, fSymmetry, TPZMaterialData::HSize, IsSymetric(), TPZMaterialData::normal, TPZMaterialData::p, TPZMaterialData::phi, TPZMatrix< TVar >::Rows(), and TPZMatrix< TVar >::VerifySymmetry().

Referenced by Contribute().

◆ Dimension()

virtual int TPZMatLaplacian::Dimension ( ) const

inlineoverridevirtual

Returns the integrable dimension of the material.

Implements TPZMaterial.

Definition at line 134 of file TPZMatLaplacian.h.

References test::f, fDim, NStateVariables(), and SetParameters().

Referenced by ComputeSquareResidual().

◆ Errors()

void TPZMatLaplacian::Errors	(	TPZVec< REAL > &	x,
		TPZVec< STATE > &	sol,
		TPZFMatrix< STATE > &	dsol,
		TPZFMatrix< REAL > &	axes,
		TPZVec< STATE > &	flux,
		TPZVec< STATE > &	uexact,
		TPZFMatrix< STATE > &	duexact,
		TPZVec< REAL > &	val
	)

overridevirtual

Computes the error due to the difference between the interpolated flux
and the flux computed based on the derivative of the solution.

L2 norm

semi norma de H1

H1 norm

Reimplemented from TPZDiscontinuousGalerkin.

Definition at line 738 of file TPZMatLaplacian.cpp.

References TPZAxesTools< TVar >::Axes2XYZ(), TPZFunction< TVar >::Execute(), fDim, TPZVec< T >::Fill(), fInvK, fPermeabilityFunction, fTensorK, TPZVec< T >::Resize(), TPZMatrix< TVar >::Rows(), TPZExtractVal::val(), and val().

Referenced by Solution().

◆ ErrorsHdiv()

void TPZMatLaplacian::ErrorsHdiv	(	TPZMaterialData &	data,
		TPZVec< STATE > &	u_exact,
		TPZFMatrix< STATE > &	du_exact,
		TPZVec< REAL > &	values
	)

overridevirtual

Reimplemented from TPZMaterial.

Definition at line 667 of file TPZMatLaplacian.cpp.

References abs(), TPZFunction< TVar >::Execute(), fDim, fK, fPermeabilityFunction, LOGPZ_DEBUG, TPZMaterialData::numberdualfunctions, TPZMatrix< TVar >::Rows(), Solution(), and TPZMaterialData::x.

Referenced by Solution().

◆ FillBoundaryConditionDataRequirement()

virtual void TPZMatLaplacian::FillBoundaryConditionDataRequirement	(	int	type,
		TPZMaterialData &	data
	)

inlineoverridevirtual

This method defines which parameters need to be initialized in order to compute the contribution of the boundary condition.

Reimplemented from TPZMaterial.

Definition at line 122 of file TPZMatLaplacian.h.

References TPZMaterialData::fNeedsNormal, TPZMaterialData::fNeedsSol, and TPZMaterialData::SetAllRequirements().

◆ FillDataRequirements()

void TPZMatLaplacian::FillDataRequirements ( TPZMaterialData & data )

overridevirtual

Fill material data parameter with necessary requirements for the.

Since: April 10, 2007 Contribute method. Here, in base class, all requirements are considered as necessary. Each derived class may optimize performance by selecting only the necessary data.

Reimplemented from TPZMaterial.

Definition at line 1099 of file TPZMatLaplacian.cpp.

References TPZMaterialData::fNeedsNeighborCenter, TPZMaterialData::fNeedsNeighborSol, TPZMaterialData::fNeedsNormal, TPZMaterialData::fNeedsSol, and TPZMaterialData::SetAllRequirements().

Referenced by NewMaterial().

◆ FillDataRequirementsInterface()

void TPZMatLaplacian::FillDataRequirementsInterface ( TPZMaterialData & data )

overridevirtual

Fill material data parameter with necessary requirements for the ContributeInterface method.

Since: April 10, 2007 Here, in base class, all requirements are considered as necessary.
Each derived class may optimize performance by selecting only the necessary data.

Reimplemented from TPZDiscontinuousGalerkin.

Definition at line 1108 of file TPZMatLaplacian.cpp.

References TPZMaterialData::fNeedsHSize, TPZMaterialData::fNeedsNeighborCenter, TPZMaterialData::fNeedsNeighborSol, TPZMaterialData::fNeedsNormal, and TPZMaterialData::SetAllRequirements().

Referenced by NewMaterial().

◆ Flux()

void TPZMatLaplacian::Flux	(	TPZVec< REAL > &	x,
		TPZVec< STATE > &	Sol,
		TPZFMatrix< STATE > &	DSol,
		TPZFMatrix< REAL > &	axes,
		TPZVec< STATE > &	flux
	)

overridevirtual

Computes the value of the flux function to be used by ZZ error estimator.

Reimplemented from TPZMaterial.

Definition at line 664 of file TPZMatLaplacian.cpp.

Referenced by Solution().

◆ GetParameters()

void TPZMatLaplacian::GetParameters	(	STATE &	diff,
		STATE &	f
	)		const

inline

Return the values of constant diffusion and external flux.

Definition at line 142 of file TPZMatLaplacian.h.

References fK, and fXf.

◆ InterfaceErrors()

void TPZMatLaplacian::InterfaceErrors	(	TPZVec< REAL > &	,
		TPZVec< STATE > &	leftu,
		TPZFMatrix< STATE > &	leftdudx,
		TPZVec< STATE > &	rightu,
		TPZFMatrix< STATE > &	rightdudx,
		TPZVec< STATE > &	,
		TPZVec< STATE > &	u_exact,
		TPZFMatrix< STATE > &	du_exact,
		TPZVec< REAL > &	values,
		TPZVec< STATE >	normal,
		STATE	elsize
	)

Referenced by NEvalErrors().

◆ IsInterfaceConservative()

virtual int TPZMatLaplacian::IsInterfaceConservative ( )

inlineoverridevirtual

Dicontinuous galerkin materials implement contribution of discontinuous elements and interfaces.

Since: Feb 05, 2004 Interfaces may be conservative or not conservative. It is important to agglomeration techniques when using multigrid pre-conditioner.
Conservative interfaces into agglomerate elements do not need to be computed. However non-conservative interfaces must be computed in all multigrid levels.
Default is non-conservative, because of the computation of a conservative interface into an agglomerate does not ruin the solution.

Reimplemented from TPZDiscontinuousGalerkin.

Definition at line 273 of file TPZMatLaplacian.h.

References ClassId(), Read(), and Write().

◆ IsSymetric()

bool TPZMatLaplacian::IsSymetric ( )

inline

Definition at line 98 of file TPZMatLaplacian.h.

References PZError.

Referenced by Contribute(), ContributeBC(), ContributeBCHDiv(), ContributeBCInterface(), and ContributeInterface().

◆ Name()

virtual std::string TPZMatLaplacian::Name ( )

inlineoverridevirtual

Returns the name of the material.

Reimplemented from TPZDiscontinuousGalerkin.

Definition at line 189 of file TPZMatLaplacian.h.

References Contribute().

Referenced by Print().

◆ NEvalErrors()

virtual int TPZMatLaplacian::NEvalErrors ( )

inlineoverridevirtual

Returns the number of norm errors. Default is 3: energy, L2 and H1.

Reimplemented from TPZMaterial.

Definition at line 248 of file TPZMatLaplacian.h.

References BCInterfaceJump(), ComputeSquareResidual(), and InterfaceErrors().

◆ NewMaterial()

virtual TPZMaterial* TPZMatLaplacian::NewMaterial ( )

inlineoverridevirtual

To create another material of the same type.

Reimplemented from TPZMaterial.

Definition at line 105 of file TPZMatLaplacian.h.

References FillDataRequirements(), FillDataRequirementsInterface(), and TPZMatLaplacian().

◆ NFluxes()

virtual int TPZMatLaplacian::NFluxes ( )

inlineoverridevirtual

Returns the number of components which form the flux function.

Reimplemented from TPZMaterial.

Definition at line 226 of file TPZMatLaplacian.h.

References Solution().

◆ NSolutionVariables()

int TPZMatLaplacian::NSolutionVariables ( int var )

overridevirtual

Returns the number of variables associated with the variable indexed by var.

Parameters

var	Index variable into the solution, is obtained by calling VariableIndex

Reimplemented from TPZMaterial.

Definition at line 407 of file TPZMatLaplacian.cpp.

References fDim, and TPZMaterial::NSolutionVariables().

Referenced by Contribute(), and Solution().

◆ NStateVariables()

int TPZMatLaplacian::NStateVariables ( ) const

overridevirtual

Returns the number of state variables associated with the material.

Implements TPZMaterial.

Definition at line 87 of file TPZMatLaplacian.cpp.

Referenced by Dimension().

◆ operator=()

TPZMatLaplacian & TPZMatLaplacian::operator= ( const TPZMatLaplacian & copy )

Definition at line 54 of file TPZMatLaplacian.cpp.

References fDim, fInvK, fK, fPenaltyConstant, fPenaltyType, fPermeabilityFunction, fSymmetry, fTensorK, fXf, and TPZMaterial::operator=().

Referenced by TPZMatLaplacian().

◆ Print()

void TPZMatLaplacian::Print ( std::ostream & out )

overridevirtual

Prints out the data associated with the material.

Reimplemented from TPZMaterial.

Definition at line 91 of file TPZMatLaplacian.cpp.

References fK, fPenaltyConstant, fXf, Name(), and TPZMaterial::Print().

Referenced by SetDimension().

◆ Read()

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

overridevirtual

Reads the element data from a stream.

Reimplemented from TPZDiscontinuousGalerkin.

Definition at line 1147 of file TPZMatLaplacian.cpp.

References fDim, fK, fPenaltyConstant, fSymmetry, fXf, TPZStream::Read(), and TPZDiscontinuousGalerkin::Read().

Referenced by IsInterfaceConservative().

◆ SetBothPenalty()

void TPZMatLaplacian::SetBothPenalty ( )

inline

Defines solution and flux penalty terms in ContributeInterface.

Definition at line 67 of file TPZMatLaplacian.h.

References EBoth, and TPZMatLaplacian().

◆ SetDimension()

void TPZMatLaplacian::SetDimension ( int dim )

inline

Definition at line 171 of file TPZMatLaplacian.h.

References DebugStop, fInvK, fK, fTensorK, Print(), and TPZFMatrix< TVar >::Redim().

Referenced by CreatePressureMesh(), and TPZMHMixedHybridMeshControl::InsertPeriferalPressureMaterialObjects().

◆ SetFluxPenalty()

void TPZMatLaplacian::SetFluxPenalty ( )

inline

Defines flux penalty terms in ContributeInterface.

Definition at line 61 of file TPZMatLaplacian.h.

References EFluxPenalty.

◆ SetNonSymmetric()

void TPZMatLaplacian::SetNonSymmetric ( )

inline

Set material elliptic term as the Baumann's formulation, i.e. the non-symmetrical formulation.

Definition at line 94 of file TPZMatLaplacian.h.

Referenced by TPZMatLaplacian().

◆ SetNoPenalty()

void TPZMatLaplacian::SetNoPenalty ( )

inline

Defines no penalty terms in ContributeInterface.

Definition at line 58 of file TPZMatLaplacian.h.

References ENoPenalty.

Referenced by TPZMatLaplacian().

◆ SetParameters()

void TPZMatLaplacian::SetParameters	(	STATE	diff,
		STATE	f
	)

Set a uniform diffusion constant and external flux.

Definition at line 68 of file TPZMatLaplacian.cpp.

References test::f, fDim, fInvK, fK, fTensorK, fXf, and TPZFMatrix< TVar >::Zero().

Referenced by Dimension().

◆ SetPermeability()

void TPZMatLaplacian::SetPermeability ( REAL perm )

inline

Definition at line 148 of file TPZMatLaplacian.h.

References fDim, fInvK, fTensorK, and TPZFMatrix< TVar >::Zero().

◆ SetPermeabilityFunction()

void TPZMatLaplacian::SetPermeabilityFunction ( TPZAutoPointer< TPZFunction< STATE > > fp )

inline

Definition at line 163 of file TPZMatLaplacian.h.

◆ SetSolutionPenalty()

void TPZMatLaplacian::SetSolutionPenalty ( )

inline

Defines solution penalty terms in ContributeInterface.

Definition at line 64 of file TPZMatLaplacian.h.

References ESolutionPenalty.

◆ SetSymmetric()

void TPZMatLaplacian::SetSymmetric ( )

inline

Set material elliptic term as the global element method, i.e. the symmetrical formulation.

Definition at line 89 of file TPZMatLaplacian.h.

Referenced by CreatePressureMesh().

◆ SetValPenaltyConstant()

void TPZMatLaplacian::SetValPenaltyConstant ( REAL penalty )

inline

Definition at line 158 of file TPZMatLaplacian.h.

◆ Solution() [1/3]

void TPZMatLaplacian::Solution	(	TPZVec< STATE > &	Sol,
		TPZFMatrix< STATE > &	DSol,
		TPZFMatrix< REAL > &	axes,
		int	var,
		TPZVec< STATE > &	Solout
	)

overrideprotectedvirtual

Deprecated:: Deprecated interface for Solution method which must use material data.

Reimplemented from TPZMaterial.

Definition at line 598 of file TPZMatLaplacian.cpp.

References TPZAxesTools< TVar >::Axes2XYZ(), fDim, fK, NSolutionVariables(), TPZVec< T >::Resize(), TPZMaterial::Solution(), sqrt, and val().

Referenced by ErrorsHdiv(), NFluxes(), and Solution().

◆ Solution() [2/3]

void TPZMatLaplacian::Solution	(	TPZMaterialData &	data,
		int	var,
		TPZVec< STATE > &	Solout
	)

overridevirtual

Returns the solution associated with the var index based on the finite element approximation.

Reimplemented from TPZMaterial.

Definition at line 434 of file TPZMatLaplacian.cpp.

References TPZMaterialData::axes, TPZAxesTools< TVar >::Axes2XYZ(), DebugStop, TPZMaterialData::dsol, TPZFunction< TVar >::Execute(), test::f, fDim, TPZMaterial::fForcingFunctionExact, fK, fPermeabilityFunction, TPZVec< T >::NElements(), TPZMaterialData::numberdualfunctions, TPZMaterialData::p, TPZVec< T >::size(), TPZMaterialData::sol, Solution(), and TPZMaterialData::x.

◆ Solution() [3/3]

virtual void TPZMatLaplacian::Solution	(	TPZVec< TPZMaterialData > &	datavec,
		int	var,
		TPZVec< STATE > &	Solout
	)

inlineoverridevirtual

Returns the solution associated with the var index based on the finite element approximation.

Reimplemented from TPZMaterial.

Definition at line 235 of file TPZMatLaplacian.h.

References DebugStop, Errors(), ErrorsHdiv(), Flux(), and rdt::values.

◆ VariableIndex()

int TPZMatLaplacian::VariableIndex ( const std::string & name )

overridevirtual

Returns the variable index associated with the name

Reimplemented from TPZMaterial.

Definition at line 377 of file TPZMatLaplacian.cpp.

References TPZMaterial::VariableIndex().

Referenced by Contribute().

◆ Write()

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

overridevirtual

Saves the element data to a stream.

Reimplemented from TPZDiscontinuousGalerkin.

Definition at line 1138 of file TPZMatLaplacian.cpp.

References fDim, fK, fPenaltyConstant, fSymmetry, fXf, TPZStream::Write(), and TPZDiscontinuousGalerkin::Write().

Referenced by IsInterfaceConservative().

Member Data Documentation

◆ fDim

int TPZMatLaplacian::fDim

protected

Problem dimension.

Definition at line 28 of file TPZMatLaplacian.h.

Referenced by Contribute(), ContributeBCInterface(), ContributeHDiv(), ContributeInterface(), Dimension(), Errors(), ErrorsHdiv(), NSolutionVariables(), operator=(), Read(), SetParameters(), SetPermeability(), Solution(), and Write().

◆ fInvK

TPZFNMatrix<9,STATE> TPZMatLaplacian::fInvK

protected

Definition at line 34 of file TPZMatLaplacian.h.

Referenced by Errors(), operator=(), SetDimension(), SetParameters(), SetPermeability(), and TPZMatLaplacian().

◆ fK

STATE TPZMatLaplacian::fK

protected

Coeficient which multiplies the Laplacian operator.

Definition at line 31 of file TPZMatLaplacian.h.

Referenced by ComputeSquareResidual(), Contribute(), ContributeBCInterface(), ContributeHDiv(), ContributeInterface(), ErrorsHdiv(), GetParameters(), operator=(), Print(), Read(), SetDimension(), SetParameters(), Solution(), TPZMatLaplacian(), and Write().

◆ fPenaltyConstant

REAL TPZMatLaplacian::fPenaltyConstant

Constant multiplier of penalty term, when required is set.

Definition at line 55 of file TPZMatLaplacian.h.

Referenced by ContributeBCInterface(), ContributeInterface(), operator=(), Print(), Read(), TPZMatLaplacian(), and Write().

◆ fPenaltyType

EPenaltyType TPZMatLaplacian::fPenaltyType

protected

Penalty term definition.

Definition at line 47 of file TPZMatLaplacian.h.

Referenced by ContributeBCInterface(), ContributeInterface(), and operator=().

◆ fPermeabilityFunction

TPZAutoPointer<TPZFunction<STATE> > TPZMatLaplacian::fPermeabilityFunction

protected

Pointer to forcing function, it is the Permeability and its inverse.

Definition at line 50 of file TPZMatLaplacian.h.

Referenced by Contribute(), Errors(), ErrorsHdiv(), operator=(), and Solution().

◆ fSymmetry

REAL TPZMatLaplacian::fSymmetry

protected

Symmetry coefficient of elliptic term.

Symmetrical formulation - Global element method - has coefficient = -1.
Non-symmetrical formulation - Baumann's formulation - has coefficient = +1.

Definition at line 41 of file TPZMatLaplacian.h.

Referenced by ContributeBCInterface(), ContributeInterface(), operator=(), Read(), and Write().

◆ fTensorK

TPZFNMatrix<9,STATE> TPZMatLaplacian::fTensorK

protected

Tensor de permeabilidade.

Definition at line 34 of file TPZMatLaplacian.h.

Referenced by Errors(), operator=(), SetDimension(), SetParameters(), SetPermeability(), and TPZMatLaplacian().

◆ fXf

STATE TPZMatLaplacian::fXf

protected

Forcing function value.

Definition at line 25 of file TPZMatLaplacian.h.

Referenced by ComputeSquareResidual(), Contribute(), ContributeHDiv(), GetParameters(), operator=(), Print(), Read(), SetParameters(), and Write().

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

Material/TPZMatLaplacian.h
Material/TPZMatLaplacian.cpp

Public Member Functions

Public Attributes

Protected Types

Protected Member Functions

Protected Attributes

Additional Inherited Members

Detailed Description

Member Enumeration Documentation

◆ EPenaltyType

Constructor & Destructor Documentation

◆ TPZMatLaplacian() [1/4]

◆ TPZMatLaplacian() [2/4]

◆ TPZMatLaplacian() [3/4]

◆ TPZMatLaplacian() [4/4]

◆ ~TPZMatLaplacian()

Member Function Documentation

◆ BCInterfaceJump()

◆ ClassId()

◆ ComputeSquareResidual()

◆ Contribute() [1/3]

◆ Contribute() [2/3]

◆ Contribute() [3/3]

◆ ContributeBC() [1/2]

◆ ContributeBC() [2/2]

◆ ContributeBCHDiv()

◆ ContributeBCInterface()

◆ ContributeHDiv()

◆ ContributeInterface()

◆ Dimension()

◆ Errors()

◆ ErrorsHdiv()

◆ FillBoundaryConditionDataRequirement()

◆ FillDataRequirements()

◆ FillDataRequirementsInterface()

◆ Flux()

◆ GetParameters()

◆ InterfaceErrors()

◆ IsInterfaceConservative()

◆ IsSymetric()

◆ Name()

◆ NEvalErrors()

◆ NewMaterial()

◆ NFluxes()

◆ NSolutionVariables()

◆ NStateVariables()

◆ operator=()

◆ Print()

◆ Read()

◆ SetBothPenalty()

◆ SetDimension()

◆ SetFluxPenalty()

◆ SetNonSymmetric()

◆ SetNoPenalty()

◆ SetParameters()

◆ SetPermeability()

◆ SetPermeabilityFunction()

◆ SetSolutionPenalty()

◆ SetSymmetric()

◆ SetValPenaltyConstant()

◆ Solution() [1/3]

◆ Solution() [2/3]

◆ Solution() [3/3]

◆ VariableIndex()

◆ Write()

Member Data Documentation

◆ fDim

◆ fInvK

◆ fK

◆ fPenaltyConstant

◆ fPenaltyType

◆ fPermeabilityFunction

◆ fSymmetry

◆ fTensorK

◆ fXf