Implements discontinuous Galerkin formulation for the bi-harmonic equation. More...

#include <pzbiharmonic.h>

Inheritance diagram for TPZBiharmonic:

Collaboration diagram for TPZBiharmonic:

Public Member Functions
	TPZBiharmonic (int nummat, REAL f)
	Inicialisation of biharmonic material. More...

virtual	~TPZBiharmonic ()
	Destructor. More...

virtual int	NEvalErrors () override
	Returns the number of norm errors. Default is 3: energy, L2, H1, semi-norm H2 and H2. More...

void	SetMaterial (REAL &xfin)

int	Dimension () const override
	Model dimension. More...

virtual int	NStateVariables () const override
	Returns one because of scalar problem. More...

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 void	Contribute (TPZMaterialData &data, REAL weight, TPZFMatrix< STATE > &ek, TPZFMatrix< STATE > &ef) override
	Implements integral over element's volume. More...

virtual void	Contribute (TPZMaterialData &data, REAL weight, TPZFMatrix< STATE > &ef) override
	Implements integral over element's volume. More...

virtual void	ContributeBC (TPZMaterialData &data, REAL weight, TPZFMatrix< STATE > &ek, TPZFMatrix< STATE > &ef, TPZBndCond &bc) override
	Implements boundary conditions for continuous Galerkin. More...

virtual void	ContributeBC (TPZMaterialData &data, REAL weight, TPZFMatrix< STATE > &ef, TPZBndCond &bc) override
	Implements boundary conditions for continuous Galerkin. 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 int	ClassId () const override
	Unique identifier for serialization purposes. More...

virtual 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...

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...

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

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...

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

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

virtual void	ContributeBCInterface (TPZMaterialData &data, TPZMaterialData &dataleft, REAL weight, TPZFMatrix< STATE > &ef, TPZBndCond &bc) override
	It computes a contribution to residual vector at one BC 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 void	FillDataRequirementsInterface (TPZMaterialData &data) override
	Fill material data parameter with necessary requirements for the ContributeInterface method. 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 int	IsInterfaceConservative ()
	Dicontinuous galerkin materials implement contribution of discontinuous elements and interfaces. More...

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

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

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...

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

void	Read (TPZStream &buf, void *context) override
	Reads the element data from a stream. 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 (TPZMaterialData &data)
	Fill material data parameter with necessary requirements for the. 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, TPZMaterialData &data)
	This method defines which parameters need to be initialized in order to compute the contribution of the boundary condition. 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	ErrorsHdiv (TPZMaterialData &data, TPZVec< STATE > &u_exact, TPZFMatrix< STATE > &du_exact, TPZVec< REAL > &values)

virtual TPZMaterial *	NewMaterial ()
	To create another material of the same type. 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 REAL	ComputeSquareResidual (TPZVec< REAL > &X, TPZVec< STATE > &sol, TPZFMatrix< STATE > &dsol)
	Computes square of residual of the differential equation at one integration point. More...

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...

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

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

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

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

Static Public Attributes
static REAL	gLambda1

static REAL	gLambda2

static REAL	gSigmaA

static REAL	gSigmaB

static REAL	gL_alpha

static REAL	gM_alpha

static REAL	gL_betta

static REAL	gM_betta

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

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)

Detailed Description

Implements discontinuous Galerkin formulation for the bi-harmonic equation.

Since: Nov 27, 2003

Author: Igor Mozolevski e Paulo Bosing

Definition at line 19 of file pzbiharmonic.h.

Constructor & Destructor Documentation

◆ TPZBiharmonic()

TPZBiharmonic::TPZBiharmonic	(	int	nummat,
		REAL	f
	)

Inicialisation of biharmonic material.

Definition at line 28 of file pzbiharmonic.cpp.

◆ ~TPZBiharmonic()

TPZBiharmonic::~TPZBiharmonic ( )

virtual

Destructor.

Definition at line 32 of file pzbiharmonic.cpp.

Member Function Documentation

◆ ClassId()

int TPZBiharmonic::ClassId ( ) const

overridevirtual

Unique identifier for serialization purposes.

Reimplemented from TPZDiscontinuousGalerkin.

Reimplemented in TPZBiharmonicEstimator.

Definition at line 439 of file pzbiharmonic.cpp.

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

Referenced by TPZBiharmonicEstimator::ClassId(), and NFluxes().

◆ Contribute() [1/2]

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

overridevirtual

Implements integral over element's volume.

Implements TPZDiscontinuousGalerkin.

Definition at line 42 of file pzbiharmonic.cpp.

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

Referenced by TPZBiharmonicEstimator::ContributeErrorsSimple(), and Name().

◆ Contribute() [2/2]

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

inlineoverridevirtual

Implements integral over element's volume.

Reimplemented from TPZDiscontinuousGalerkin.

Definition at line 57 of file pzbiharmonic.h.

References bc, TPZDiscontinuousGalerkin::Contribute(), and ContributeBC().

◆ ContributeBC() [1/2]

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

overridevirtual

Implements boundary conditions for continuous Galerkin.

Implements TPZDiscontinuousGalerkin.

Definition at line 68 of file pzbiharmonic.cpp.

References PZError.

Referenced by Contribute().

◆ ContributeBC() [2/2]

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

inlineoverridevirtual

Implements boundary conditions for continuous Galerkin.

Reimplemented from TPZDiscontinuousGalerkin.

Definition at line 71 of file pzbiharmonic.h.

References TPZDiscontinuousGalerkin::ContributeBC(), NSolutionVariables(), and VariableIndex().

◆ ContributeBCInterface() [1/2]

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

overridevirtual

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

Parameters

data	[in]
dataleft	[in]
weight	[in]
ek	[out] is the stiffness matrix
ef	[out] is the load vector
bc	[in] is the boundary condition object

Since: April 16, 2007

Implements TPZDiscontinuousGalerkin.

Definition at line 361 of file pzbiharmonic.cpp.

References TPZMaterialData::dphix, gL_alpha, gL_betta, gLambda1, gLambda2, gM_alpha, gM_betta, gSigmaA, gSigmaB, TPZMaterialData::HSize, TPZMaterialData::normal, TPZMaterialData::p, TPZMaterialData::phi, pow(), TPZMatrix< TVar >::Rows(), and TPZBndCond::Val2().

Referenced by TPZBiharmonicEstimator::ContributeInterfaceBCErrorsSimple(), and SolutionDisc().

◆ ContributeBCInterface() [2/2]

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

inlineoverridevirtual

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

Parameters

data	[in]
dataleft	[in]
weight	[in]
ef	[out] is the load vector
bc	[in] is the boundary condition object

Since: April 16, 2007

Reimplemented from TPZDiscontinuousGalerkin.

Definition at line 129 of file pzbiharmonic.h.

References TPZDiscontinuousGalerkin::ContributeBCInterface().

◆ ContributeInterface() [1/2]

void TPZBiharmonic::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 146 of file pzbiharmonic.cpp.

References TPZMaterialData::dphix, gL_alpha, gL_betta, gLambda1, gLambda2, gM_alpha, gM_betta, gSigmaA, gSigmaB, TPZMaterialData::HSize, TPZMaterialData::normal, TPZMaterialData::p, TPZMaterialData::phi, pow(), and TPZMatrix< TVar >::Rows().

Referenced by TPZBiharmonicEstimator::ContributeInterfaceErrorsSimple(), and SolutionDisc().

◆ ContributeInterface() [2/2]

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

inlineoverridevirtual

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

Parameters

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

Since: April 16, 2007

Reimplemented from TPZDiscontinuousGalerkin.

Definition at line 122 of file pzbiharmonic.h.

References TPZDiscontinuousGalerkin::ContributeInterface().

◆ Dimension()

int TPZBiharmonic::Dimension ( ) const

inlineoverridevirtual

Model dimension.

Implements TPZMaterial.

Definition at line 40 of file pzbiharmonic.h.

◆ Errors()

void TPZBiharmonic::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
	)

overridevirtual

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

Reimplemented from TPZDiscontinuousGalerkin.

Definition at line 116 of file pzbiharmonic.cpp.

References Solution().

Referenced by SolutionDisc().

◆ Flux()

void TPZBiharmonic::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 110 of file pzbiharmonic.cpp.

Referenced by SolutionDisc().

◆ Name()

virtual std::string TPZBiharmonic::Name ( )

inlineoverridevirtual

Returns the name of the material.

Reimplemented from TPZDiscontinuousGalerkin.

Definition at line 49 of file pzbiharmonic.h.

References Contribute().

Referenced by Print().

◆ NEvalErrors()

virtual int TPZBiharmonic::NEvalErrors ( )

inlineoverridevirtual

Returns the number of norm errors. Default is 3: energy, L2, H1, semi-norm H2 and H2.

Reimplemented from TPZMaterial.

Reimplemented in TPZBiharmonicEstimator.

Definition at line 34 of file pzbiharmonic.h.

◆ NFluxes()

virtual int TPZBiharmonic::NFluxes ( )

inlineoverridevirtual

Returns the number of components which form the flux function.

Reimplemented from TPZMaterial.

Definition at line 83 of file pzbiharmonic.h.

References ClassId(), and Solution().

◆ NSolutionVariables()

int TPZBiharmonic::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 88 of file pzbiharmonic.cpp.

References TPZMaterial::NSolutionVariables().

Referenced by ContributeBC().

◆ NStateVariables()

virtual int TPZBiharmonic::NStateVariables ( ) const

inlineoverridevirtual

Returns one because of scalar problem.

Implements TPZMaterial.

Definition at line 43 of file pzbiharmonic.h.

References Print().

◆ Print()

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

overridevirtual

Prints out the data associated with the material.

Reimplemented from TPZMaterial.

Definition at line 35 of file pzbiharmonic.cpp.

References Name(), and TPZMaterial::Print().

Referenced by NStateVariables().

◆ SetMaterial()

void TPZBiharmonic::SetMaterial ( REAL & xfin )

inline

Definition at line 36 of file pzbiharmonic.h.

◆ Solution()

void TPZBiharmonic::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 98 of file pzbiharmonic.cpp.

References TPZVec< T >::Resize(), and TPZMatrix< TVar >::Rows().

Referenced by Errors(), TPZBiharmonicEstimator::Errors(), and NFluxes().

◆ SolutionDisc()

virtual void TPZBiharmonic::SolutionDisc	(	TPZMaterialData &	data,
		TPZMaterialData &	dataleft,
		TPZMaterialData &	dataright,
		int	var,
		TPZVec< STATE > &	Solout
	)

inlinevirtual

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

Definition at line 94 of file pzbiharmonic.h.

References ContributeBCInterface(), ContributeInterface(), Errors(), Flux(), TPZDiscontinuousGalerkin::SolutionDisc(), and rdt::values.

◆ VariableIndex()

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

overridevirtual

returns the variable index associated with the name

Reimplemented from TPZMaterial.

Definition at line 79 of file pzbiharmonic.cpp.

Referenced by ContributeBC().

Member Data Documentation

◆ fXf

REAL TPZBiharmonic::fXf

protected

Definition at line 22 of file pzbiharmonic.h.

Referenced by Contribute(), and TPZBiharmonicEstimator::ContributeErrorsDual().

◆ gL_alpha

REAL TPZBiharmonic::gL_alpha

static

Definition at line 26 of file pzbiharmonic.h.

Referenced by ContributeBCInterface(), ContributeInterface(), TPZBiharmonicEstimator::ContributeInterfaceBCErrorsDual(), and TPZBiharmonicEstimator::ContributeInterfaceErrorsDual().

◆ gL_betta

REAL TPZBiharmonic::gL_betta

static

Definition at line 26 of file pzbiharmonic.h.

Referenced by ContributeBCInterface(), ContributeInterface(), TPZBiharmonicEstimator::ContributeInterfaceBCErrorsDual(), and TPZBiharmonicEstimator::ContributeInterfaceErrorsDual().

◆ gLambda1

REAL TPZBiharmonic::gLambda1

static

Definition at line 26 of file pzbiharmonic.h.

Referenced by ContributeBCInterface(), and ContributeInterface().

◆ gLambda2

REAL TPZBiharmonic::gLambda2

static

Definition at line 26 of file pzbiharmonic.h.

Referenced by ContributeBCInterface(), and ContributeInterface().

◆ gM_alpha

REAL TPZBiharmonic::gM_alpha

static

Definition at line 26 of file pzbiharmonic.h.

Referenced by ContributeBCInterface(), ContributeInterface(), TPZBiharmonicEstimator::ContributeInterfaceBCErrorsDual(), and TPZBiharmonicEstimator::ContributeInterfaceErrorsDual().

◆ gM_betta

REAL TPZBiharmonic::gM_betta

static

Definition at line 26 of file pzbiharmonic.h.

Referenced by ContributeBCInterface(), ContributeInterface(), TPZBiharmonicEstimator::ContributeInterfaceBCErrorsDual(), and TPZBiharmonicEstimator::ContributeInterfaceErrorsDual().

◆ gSigmaA

REAL TPZBiharmonic::gSigmaA

static

Definition at line 26 of file pzbiharmonic.h.

Referenced by ContributeBCInterface(), ContributeInterface(), TPZBiharmonicEstimator::ContributeInterfaceBCErrorsDual(), and TPZBiharmonicEstimator::ContributeInterfaceErrorsDual().

◆ gSigmaB

REAL TPZBiharmonic::gSigmaB

static

Definition at line 26 of file pzbiharmonic.h.

Referenced by ContributeBCInterface(), ContributeInterface(), TPZBiharmonicEstimator::ContributeInterfaceBCErrorsDual(), and TPZBiharmonicEstimator::ContributeInterfaceErrorsDual().

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

Material/REAL/pzbiharmonic.h
Material/REAL/pzbiharmonic.cpp

Public Member Functions

Static Public Attributes

Protected Member Functions

Protected Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ TPZBiharmonic()

◆ ~TPZBiharmonic()

Member Function Documentation

◆ ClassId()

◆ Contribute() [1/2]

◆ Contribute() [2/2]

◆ ContributeBC() [1/2]

◆ ContributeBC() [2/2]

◆ ContributeBCInterface() [1/2]

◆ ContributeBCInterface() [2/2]

◆ ContributeInterface() [1/2]

◆ ContributeInterface() [2/2]

◆ Dimension()

◆ Errors()

◆ Flux()

◆ Name()

◆ NEvalErrors()

◆ NFluxes()

◆ NSolutionVariables()

◆ NStateVariables()

◆ Print()

◆ SetMaterial()

◆ Solution()

◆ SolutionDisc()

◆ VariableIndex()

Member Data Documentation

◆ fXf

◆ gL_alpha

◆ gL_betta

◆ gLambda1

◆ gLambda2

◆ gM_alpha

◆ gM_betta

◆ gSigmaA

◆ gSigmaB