(Goal-oriented) Error Control class. More...

#include <ErrorControl.h>

Inheritance diagram for dolfin::ErrorControl:

Collaboration diagram for dolfin::ErrorControl:

Public Member Functions
	ErrorControl (std::shared_ptr< Form > a_star, std::shared_ptr< Form > L_star, std::shared_ptr< Form > residual, std::shared_ptr< Form > a_R_T, std::shared_ptr< Form > L_R_T, std::shared_ptr< Form > a_R_dT, std::shared_ptr< Form > L_R_dT, std::shared_ptr< Form > eta_T, bool is_linear)

	~ErrorControl ()
	Destructor.

double	estimate_error (const Function &u, const std::vector< std::shared_ptr< const DirichletBC > > bcs)

void	compute_indicators (MeshFunction< double > &indicators, const Function &u)

void	residual_representation (Function &R_T, SpecialFacetFunction &R_dT, const Function &u)

void	compute_cell_residual (Function &R_T, const Function &u)

void	compute_facet_residual (SpecialFacetFunction &R_dT, const Function &u, const Function &R_T)

void	compute_dual (Function &z, const std::vector< std::shared_ptr< const DirichletBC > > bcs)

void	compute_extrapolation (const Function &z, const std::vector< std::shared_ptr< const DirichletBC > > bcs)

Public Member Functions inherited from dolfin::Hierarchical< ErrorControl >
	Hierarchical (ErrorControl &self)
	Constructor.

virtual	~Hierarchical ()
	Destructor.

std::size_t	depth () const

bool	has_parent () const

bool	has_child () const

ErrorControl &	parent ()

const ErrorControl &	parent () const
	Return parent in hierarchy (const version).

std::shared_ptr< ErrorControl >	parent_shared_ptr ()

std::shared_ptr< const ErrorControl >	parent_shared_ptr () const
	Return shared pointer to parent (const version).

ErrorControl &	child ()

const ErrorControl &	child () const
	Return child in hierarchy (const version).

std::shared_ptr< ErrorControl >	child_shared_ptr ()

std::shared_ptr< const ErrorControl >	child_shared_ptr () const
	Return shared pointer to child (const version).

ErrorControl &	root_node ()

const ErrorControl &	root_node () const
	Return root node object in hierarchy (const version).

std::shared_ptr< ErrorControl >	root_node_shared_ptr ()

std::shared_ptr< const ErrorControl >	root_node_shared_ptr () const
	Return shared pointer to root node object in hierarchy (const version).

ErrorControl &	leaf_node ()

const ErrorControl &	leaf_node () const
	Return leaf node object in hierarchy (const version).

std::shared_ptr< ErrorControl >	leaf_node_shared_ptr ()

std::shared_ptr< const ErrorControl >	leaf_node_shared_ptr () const
	Return shared pointer to leaf node object in hierarchy (const version).

void	set_parent (std::shared_ptr< ErrorControl > parent)
	Set parent.

void	clear_child ()
	Clear child.

void	set_child (std::shared_ptr< ErrorControl > child)
	Set child.

const Hierarchical &	operator= (const Hierarchical &hierarchical)
	Assignment operator.

void	_debug () const
	Function useful for debugging the hierarchy.

Public Member Functions inherited from dolfin::Variable
	Variable ()
	Create unnamed variable.

	Variable (const std::string name, const std::string label)
	Create variable with given name and label.

	Variable (const Variable &variable)
	Copy constructor.

virtual	~Variable ()
	Destructor.

const Variable &	operator= (const Variable &variable)
	Assignment operator.

void	rename (const std::string name, const std::string label)
	Rename variable.

std::string	name () const
	Return name.

std::string	label () const
	Return label (description)

std::size_t	id () const

virtual std::string	str (bool verbose) const
	Return informal string representation (pretty-print)

Static Public Member Functions
static Parameters	default_parameters ()
	Default parameter values.

Friends
std::shared_ptr< ErrorControl >	adapt (const ErrorControl &ec, std::shared_ptr< const Mesh > adapted_mesh, bool adapt_coefficients)

Additional Inherited Members
Public Attributes inherited from dolfin::Variable
Parameters	parameters
	Parameters.

Detailed Description

(Goal-oriented) Error Control class.

The notation used here follows the notation in "Automated goal-oriented error control I: stationary variational problems", ME Rognes and A Logg, 2010-2011.

Constructor & Destructor Documentation

ErrorControl::ErrorControl	(	std::shared_ptr< Form >	a_star,
		std::shared_ptr< Form >	L_star,
		std::shared_ptr< Form >	residual,
		std::shared_ptr< Form >	a_R_T,
		std::shared_ptr< Form >	L_R_T,
		std::shared_ptr< Form >	a_R_dT,
		std::shared_ptr< Form >	L_R_dT,
		std::shared_ptr< Form >	eta_T,
		bool	is_linear
	)

Create error control object

Parameters

a_star	(Form) the bilinear form for the dual problem
L_star	(Form) the linear form for the dual problem
residual	(Form) a functional for the residual (error estimate)
a_R_T	(Form) the bilinear form for the strong cell residual problem
L_R_T	(Form) the linear form for the strong cell residual problem
a_R_dT	(Form) the bilinear form for the strong facet residual problem
L_R_dT	(Form) the linear form for the strong facet residual problem
eta_T	(Form) a linear form over DG_0 for error indicators
is_linear	(bool) true iff primal problem is linear

Member Function Documentation

void ErrorControl::compute_cell_residual	(	Function &	R_T,
		const Function &	u
	)

Compute representation for the strong cell residual from the weak residual

Parameters

R_T	(Function) the strong cell residual (to be computed)
u	(Function) the primal approximation

void ErrorControl::compute_dual	(	Function &	z,
		const std::vector< std::shared_ptr< const DirichletBC > >	bcs
	)

Compute dual approximation defined by dual variational problem and dual boundary conditions given by homogenized primal boundary conditions.

Parameters

z	(Function) the dual approximation (to be computed)
bcs	(std::vector<DirichletBC>) the primal boundary conditions

void ErrorControl::compute_extrapolation	(	const Function &	z,
		const std::vector< std::shared_ptr< const DirichletBC > >	bcs
	)

Compute extrapolation with boundary conditions

Parameters

z	(Function) the extrapolated function (to be computed)
bcs	(std::vector<DirichletBC>) the dual boundary conditions

void ErrorControl::compute_facet_residual	(	SpecialFacetFunction &	R_dT,
		const Function &	u,
		const Function &	R_T
	)

Compute representation for the strong facet residual from the weak residual and the strong cell residual

Parameters

R_dT	(SpecialFacetFunction) the strong facet residual (to be computed)
u	(Function) the primal approximation
R_T	(Function) the strong cell residual

void ErrorControl::compute_indicators	(	MeshFunction< double > &	indicators,
		const Function &	u
	)

Compute error indicators

Parameters

indicators	(MeshFunction<double>) the error indicators (to be computed)
u	(Function) the primal approximation

double ErrorControl::estimate_error	(	const Function &	u,
		const std::vector< std::shared_ptr< const DirichletBC > >	bcs
	)

Estimate the error relative to the goal M of the discrete approximation 'u' relative to the variational formulation by evaluating the weak residual at an approximation to the dual solution.

Parameters

u	(Function) the primal approximation
bcs	(std::vector<DirichletBC>) the primal boundary conditions

Returns: double error estimate

void ErrorControl::residual_representation	(	Function &	R_T,
		SpecialFacetFunction &	R_dT,
		const Function &	u
	)

Compute strong representation (strong cell and facet residuals) of the weak residual.

Parameters

R_T	(Function) the strong cell residual (to be computed)
R_dT	(SpecialFacetFunction) the strong facet residual (to be computed)
u	(Function) the primal approximation

Friends And Related Function Documentation

std::shared_ptr<ErrorControl> adapt	(	const ErrorControl &	ec,
		std::shared_ptr< const Mesh >	adapted_mesh,
		bool	adapt_coefficients
	)

friend

Adapt error control object based on adapted mesh

Parameters

ec	(ErrorControl) The error control object to be adapted
adapted_mesh	(Mesh) The new mesh
adapt_coefficients	(bool) Optional argument, default is true. If false, any form coefficients are not explicitly adapted, but pre-adapted coefficients will be transferred.

Returns: ErrorControl The adapted error control object

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

/home/fenics/shared/dolfin/adaptivity/ErrorControl.h
/home/fenics/shared/dolfin/adaptivity/ErrorControl.cpp

Public Member Functions

Static Public Member Functions

Friends

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Friends And Related Function Documentation