Estimates error to biharmonic problem. Also computes the contributions on elements and interfaces. Analysis. More...

#include <tpzbiharmonicestimator.h>

Inheritance diagram for TPZBiharmonicEstimator:

Collaboration diagram for TPZBiharmonicEstimator:

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

	TPZBiharmonicEstimator (int nummat, STATE f)
	Constructor. More...

	~TPZBiharmonicEstimator ()
	Destructor. More...

void	SetExactSolutions (void(fp)(TPZVec< REAL > &loc, TPZVec< STATE > &val, TPZFMatrix< STATE > &deriv), void(fd)(TPZVec< REAL > &locdual, TPZVec< STATE > &valdual, TPZFMatrix< STATE > &derivdual))
	Set the pointer of the solution function. More...

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

virtual void	ContributeErrorsDual (TPZMaterialData &data, REAL weight, TPZVec< REAL > &nk)
	Implements integration of the internal part of an error estimator. More...

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

virtual void	ContributeInterfaceErrors (TPZMaterialData &data, TPZMaterialData &dataleft, TPZMaterialData &dataright, REAL weight, TPZVec< STATE > &nkL, TPZVec< STATE > &nkR, int &errorid) override
	Implements integration of the interface part of an error estimator. More...

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

virtual void	ContributeInterfaceBCErrorsDual (TPZMaterialData &data, TPZMaterialData &dataleft, REAL weight, TPZVec< STATE > &nk, TPZBndCond &bc)
	Implements integration of the boundary interface part of an error estimator. More...

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

virtual void	ContributeErrorsSimple (TPZMaterialData &data, REAL weight, TPZVec< REAL > &nk)

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

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

void	Errors (TPZVec< REAL > &x, TPZVec< STATE > &u, TPZFMatrix< STATE > &dudx, TPZFMatrix< REAL > &axes, TPZVec< STATE > &, 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...

void	Psi (TPZVec< REAL > &x, TPZVec< STATE > &pisci)
	Kernel of the functional. More...

void	OrderSolution (TPZMaterialData &data)
	Computes the primal and dual exact error. More...

void	OrderSolutionRight (TPZMaterialData &data, TPZMaterialData &dataright)
	Computes the primal and dual exact error over dataright considering the solution in data. More...

void	OrderSolutionLeft (TPZMaterialData &data, TPZMaterialData &dataleft)
	Computes the primal and dual exact error over dataleft considering the solution in data. More...

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

virtual	~TPZBiharmonic ()
	Destructor. 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 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	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 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

Private Attributes
void(*	fPrimalExactSol )(TPZVec< REAL > &loc, TPZVec< STATE > &val, TPZFMatrix< STATE > &deriv)
	Attributes required for goal oriented error estimation validation. More...

void(*	fDualExactSol )(TPZVec< REAL > &loc, TPZVec< STATE > &val, TPZFMatrix< STATE > &deriv)

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 TPZBiharmonic
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 inherited from TPZBiharmonic
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 inherited from TPZBiharmonic
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...

Detailed Description

Estimates error to biharmonic problem. Also computes the contributions on elements and interfaces. Analysis.

Author: Joao Luis Goncalves

Since: Maio 16, 2008

Note: This class seems as material class, must to be put into the material group (Jorge??)

Definition at line 17 of file tpzbiharmonicestimator.h.

Constructor & Destructor Documentation

◆ TPZBiharmonicEstimator()

TPZBiharmonicEstimator::TPZBiharmonicEstimator	(	int	nummat,
		STATE	f
	)

Constructor.

Definition at line 13 of file tpzbiharmonicestimator.cpp.

References SetExactSolutions().

◆ ~TPZBiharmonicEstimator()

TPZBiharmonicEstimator::~TPZBiharmonicEstimator ( )

Destructor.

Definition at line 19 of file tpzbiharmonicestimator.cpp.

Member Function Documentation

◆ ClassId()

int TPZBiharmonicEstimator::ClassId ( ) const

overridevirtual

Unique identifier for serialization purposes.

Reimplemented from TPZBiharmonic.

Definition at line 625 of file tpzbiharmonicestimator.cpp.

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

◆ ContributeErrors()

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

inlineoverridevirtual

Reimplemented from TPZMaterial.

Definition at line 47 of file tpzbiharmonicestimator.h.

References ContributeErrorsDual(), and ContributeErrorsSimple().

◆ ContributeErrorsDual()

void TPZBiharmonicEstimator::ContributeErrorsDual	(	TPZMaterialData &	data,
		REAL	weight,
		TPZVec< REAL > &	nk
	)

virtual

Implements integration of the internal part of an error estimator.

It performs nk[0] += weight * ( residuo(u) *(Z1-Z) );
where u is the current solution and Z and Z1 are the dual solution.

Definition at line 34 of file tpzbiharmonicestimator.cpp.

References DebugStop, TPZMaterialData::dsol, TPZFunction< TVar >::Execute(), test::f, fDualExactSol, TPZMaterial::fForcingFunction, fPrimalExactSol, TPZBiharmonic::fXf, TPZVec< T >::size(), TPZMaterialData::sol, and TPZMaterialData::x.

Referenced by ContributeErrors(), and NEvalErrors().

◆ ContributeErrorsSimple()

void TPZBiharmonicEstimator::ContributeErrorsSimple	(	TPZMaterialData &	data,
		REAL	weight,
		TPZVec< REAL > &	nk
	)

virtual

Definition at line 301 of file tpzbiharmonicestimator.cpp.

References TPZBiharmonic::Contribute(), TPZMaterialData::dphix, OrderSolution(), TPZMaterialData::phi, TPZVec< T >::Resize(), TPZFMatrix< TVar >::Resize(), and TPZMatrix< TVar >::Rows().

Referenced by ContributeErrors(), and ContributeInterfaceBCErrors().

◆ ContributeInterfaceBCErrors()

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

inlineoverridevirtual

Reimplemented from TPZDiscontinuousGalerkin.

Definition at line 82 of file tpzbiharmonicestimator.h.

References ContributeErrorsSimple(), ContributeInterfaceBCErrorsDual(), ContributeInterfaceBCErrorsSimple(), ContributeInterfaceErrorsSimple(), Errors(), OrderSolution(), OrderSolutionLeft(), OrderSolutionRight(), Psi(), and rdt::values.

◆ ContributeInterfaceBCErrorsDual()

void TPZBiharmonicEstimator::ContributeInterfaceBCErrorsDual	(	TPZMaterialData &	data,
		TPZMaterialData &	dataleft,
		REAL	weight,
		TPZVec< STATE > &	nk,
		TPZBndCond &	bc
	)

virtual

Implements integration of the boundary interface part of an error estimator.

It performs $ nk[0] += weight * ( residuo(u ) * (Z1-Z) ) $ ;
where u is the current solution and Z and Z1 are the dual solution.

Definition at line 217 of file tpzbiharmonicestimator.cpp.

References DebugStop, TPZMaterialData::dphix, TPZMaterialData::dsol, fDualExactSol, fPrimalExactSol, TPZBiharmonic::gL_alpha, TPZBiharmonic::gL_betta, TPZBiharmonic::gM_alpha, TPZBiharmonic::gM_betta, TPZBiharmonic::gSigmaA, TPZBiharmonic::gSigmaB, TPZMaterialData::HSize, TPZMaterialData::normal, TPZMaterialData::p, TPZMaterialData::phi, pow(), TPZVec< T >::size(), TPZMaterialData::sol, TPZBndCond::Val2(), and TPZMaterialData::x.

Referenced by ContributeInterfaceBCErrors(), and ContributeInterfaceErrors().

◆ ContributeInterfaceBCErrorsSimple()

void TPZBiharmonicEstimator::ContributeInterfaceBCErrorsSimple	(	TPZMaterialData &	data,
		TPZMaterialData &	dataleft,
		REAL	weight,
		TPZVec< STATE > &	nk,
		TPZBndCond &	bc
	)

virtual

Definition at line 381 of file tpzbiharmonicestimator.cpp.

References TPZBiharmonic::ContributeBCInterface(), OrderSolutionLeft(), TPZMaterialData::phi, TPZVec< T >::Resize(), and TPZMatrix< TVar >::Rows().

Referenced by ContributeInterfaceBCErrors().

◆ ContributeInterfaceErrors()

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

inlineoverridevirtual

Implements integration of the interface part of an error estimator.

It performs $ nk[0] += weight * ( residuo(u )*(Z1-Z) ) $ ;
where u is the current solution and Z and Z1 are the dual solution.

Reimplemented from TPZDiscontinuousGalerkin.

Definition at line 59 of file tpzbiharmonicestimator.h.

References bc, ContributeInterfaceBCErrorsDual(), ContributeInterfaceErrorsDual(), and ContributeInterfaceErrorsSimple().

◆ ContributeInterfaceErrorsDual()

void TPZBiharmonicEstimator::ContributeInterfaceErrorsDual	(	TPZMaterialData &	data,
		TPZMaterialData &	dataleft,
		TPZMaterialData &	dataright,
		REAL	weight,
		TPZVec< STATE > &	nkL,
		TPZVec< STATE > &	nkR
	)

virtual

Definition at line 82 of file tpzbiharmonicestimator.cpp.

References DebugStop, TPZMaterialData::dsol, fDualExactSol, fPrimalExactSol, TPZBiharmonic::gL_alpha, TPZBiharmonic::gL_betta, TPZBiharmonic::gM_alpha, TPZBiharmonic::gM_betta, TPZBiharmonic::gSigmaA, TPZBiharmonic::gSigmaB, TPZMaterialData::HSize, TPZMaterialData::normal, TPZMaterialData::p, pow(), TPZVec< T >::size(), TPZMaterialData::sol, and TPZMaterialData::x.

Referenced by ContributeInterfaceErrors().

◆ ContributeInterfaceErrorsSimple()

void TPZBiharmonicEstimator::ContributeInterfaceErrorsSimple	(	TPZMaterialData &	data,
		TPZMaterialData &	dataleft,
		TPZMaterialData &	dataright,
		REAL	weight,
		TPZVec< STATE > &	nkL,
		TPZVec< STATE > &	nkR
	)

virtual

Definition at line 335 of file tpzbiharmonicestimator.cpp.

References TPZBiharmonic::ContributeInterface(), OrderSolutionLeft(), OrderSolutionRight(), TPZMaterialData::phi, TPZVec< T >::Resize(), and TPZMatrix< TVar >::Rows().

Referenced by ContributeInterfaceBCErrors(), and ContributeInterfaceErrors().

◆ Errors()

void TPZBiharmonicEstimator::Errors	(	TPZVec< REAL > &	x,
		TPZVec< STATE > &	u,
		TPZFMatrix< STATE > &	dudx,
		TPZFMatrix< REAL > &	axes,
		TPZVec< STATE > &	,
		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 410 of file tpzbiharmonicestimator.cpp.

References Psi(), and TPZBiharmonic::Solution().

Referenced by ContributeInterfaceBCErrors().

◆ NEvalErrors()

virtual int TPZBiharmonicEstimator::NEvalErrors ( )

inlineoverridevirtual

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

Reimplemented from TPZBiharmonic.

Definition at line 38 of file tpzbiharmonicestimator.h.

References ContributeErrorsDual().

◆ OrderSolution()

void TPZBiharmonicEstimator::OrderSolution ( TPZMaterialData & data )

Computes the primal and dual exact error.

Definition at line 454 of file tpzbiharmonicestimator.cpp.

References DebugStop, TPZMaterialData::dphix, TPZMaterialData::dsol, fDualExactSol, fPrimalExactSol, TPZMaterialData::phi, TPZFMatrix< TVar >::Resize(), TPZMatrix< TVar >::Rows(), TPZVec< T >::size(), TPZMaterialData::sol, and TPZMaterialData::x.

Referenced by ContributeErrorsSimple(), and ContributeInterfaceBCErrors().

◆ OrderSolutionLeft()

void TPZBiharmonicEstimator::OrderSolutionLeft	(	TPZMaterialData &	data,
		TPZMaterialData &	dataleft
	)

Computes the primal and dual exact error over dataleft considering the solution in data.

Definition at line 509 of file tpzbiharmonicestimator.cpp.

References DebugStop, TPZMaterialData::dphix, TPZMaterialData::dsol, fDualExactSol, fPrimalExactSol, TPZMaterialData::phi, TPZFMatrix< TVar >::Resize(), TPZMatrix< TVar >::Rows(), TPZVec< T >::size(), TPZMaterialData::sol, and TPZMaterialData::x.

Referenced by ContributeInterfaceBCErrors(), ContributeInterfaceBCErrorsSimple(), and ContributeInterfaceErrorsSimple().

◆ OrderSolutionRight()

void TPZBiharmonicEstimator::OrderSolutionRight	(	TPZMaterialData &	data,
		TPZMaterialData &	dataright
	)

Computes the primal and dual exact error over dataright considering the solution in data.

Definition at line 567 of file tpzbiharmonicestimator.cpp.

References DebugStop, TPZMaterialData::dphix, TPZMaterialData::dsol, fDualExactSol, fPrimalExactSol, TPZMaterialData::phi, TPZFMatrix< TVar >::Resize(), TPZMatrix< TVar >::Rows(), TPZVec< T >::size(), TPZMaterialData::sol, and TPZMaterialData::x.

Referenced by ContributeInterfaceBCErrors(), and ContributeInterfaceErrorsSimple().

◆ Psi()

void TPZBiharmonicEstimator::Psi	(	TPZVec< REAL > &	x,
		TPZVec< STATE > &	pisci
	)

Kernel of the functional.

Definition at line 430 of file tpzbiharmonicestimator.cpp.

References pow().

Referenced by ContributeInterfaceBCErrors(), and Errors().

◆ SetExactSolutions()

void TPZBiharmonicEstimator::SetExactSolutions	(	void(*)(TPZVec< REAL > &loc, TPZVec< STATE > &val, TPZFMatrix< STATE > &deriv)	fp,
		void(*)(TPZVec< REAL > &locdual, TPZVec< STATE > &valdual, TPZFMatrix< STATE > &derivdual)	fd
	)

Set the pointer of the solution function.

Definition at line 23 of file tpzbiharmonicestimator.cpp.

References CE(), fDualExactSol, and fPrimalExactSol.

Referenced by TPZBiharmonicEstimator().

Member Data Documentation

◆ fDualExactSol

void(* TPZBiharmonicEstimator::fDualExactSol) (TPZVec< REAL > &loc, TPZVec< STATE > &val, TPZFMatrix< STATE > &deriv)

private

Definition at line 23 of file tpzbiharmonicestimator.h.

Referenced by ContributeErrorsDual(), ContributeInterfaceBCErrorsDual(), ContributeInterfaceErrorsDual(), OrderSolution(), OrderSolutionLeft(), OrderSolutionRight(), and SetExactSolutions().

◆ fPrimalExactSol

void(* TPZBiharmonicEstimator::fPrimalExactSol) (TPZVec< REAL > &loc, TPZVec< STATE > &val, TPZFMatrix< STATE > &deriv)

private

Attributes required for goal oriented error estimation validation.

Definition at line 22 of file tpzbiharmonicestimator.h.

Referenced by ContributeErrorsDual(), ContributeInterfaceBCErrorsDual(), ContributeInterfaceErrorsDual(), OrderSolution(), OrderSolutionLeft(), OrderSolutionRight(), and SetExactSolutions().

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

Analysis/tpzbiharmonicestimator.h
Analysis/tpzbiharmonicestimator.cpp

Public Member Functions

Private Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ TPZBiharmonicEstimator()

◆ ~TPZBiharmonicEstimator()

Member Function Documentation

◆ ClassId()

◆ ContributeErrors()

◆ ContributeErrorsDual()

◆ ContributeErrorsSimple()

◆ ContributeInterfaceBCErrors()

◆ ContributeInterfaceBCErrorsDual()

◆ ContributeInterfaceBCErrorsSimple()

◆ ContributeInterfaceErrors()

◆ ContributeInterfaceErrorsDual()

◆ ContributeInterfaceErrorsSimple()

◆ Errors()

◆ NEvalErrors()

◆ OrderSolution()

◆ OrderSolutionLeft()

◆ OrderSolutionRight()

◆ Psi()

◆ SetExactSolutions()

Member Data Documentation

◆ fDualExactSol

◆ fPrimalExactSol