dolfin::AdaptiveNonlinearVariationalSolver Class Reference

#include <AdaptiveNonlinearVariationalSolver.h>

Inheritance diagram for dolfin::AdaptiveNonlinearVariationalSolver:

Collaboration diagram for dolfin::AdaptiveNonlinearVariationalSolver:

Public Member Functions
	AdaptiveNonlinearVariationalSolver (std::shared_ptr< NonlinearVariationalProblem > problem, std::shared_ptr< GoalFunctional > goal)
	AdaptiveNonlinearVariationalSolver (std::shared_ptr< NonlinearVariationalProblem > problem, std::shared_ptr< Form > goal, std::shared_ptr< ErrorControl > control)
	~AdaptiveNonlinearVariationalSolver ()
	Destructor.
virtual std::shared_ptr< const Function >	solve_primal ()
virtual std::vector< std::shared_ptr< const DirichletBC > >	extract_bcs () const
virtual double	evaluate_goal (Form &M, std::shared_ptr< const Function > u) const
virtual void	adapt_problem (std::shared_ptr< const Mesh > mesh)
Public Member Functions inherited from dolfin::GenericAdaptiveVariationalSolver
void	solve (const double tol)
std::vector< std::shared_ptr< Parameters > >	adaptive_data () const
void	summary ()
	Present summary of all adaptive data and parameters.
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)

Protected Member Functions
virtual std::size_t	num_dofs_primal ()

Additional Inherited Members
Static Public Member Functions inherited from dolfin::GenericAdaptiveVariationalSolver
static Parameters	default_parameters ()
Public Attributes inherited from dolfin::Variable
Parameters	parameters
	Parameters.
Protected Attributes inherited from dolfin::GenericAdaptiveVariationalSolver
std::shared_ptr< Form >	goal
	The goal functional.
std::shared_ptr< ErrorControl >	control
	Error control object.
std::vector< std::shared_ptr< Parameters > >	_adaptive_data

Detailed Description

A class for goal-oriented adaptive solution of nonlinear variational problems.

For a nonlinear variational problem of the form: find u in V satisfying

F(u; v) = 0 for all v in :math:`\hat V`

and a corresponding conforming discrete problem: find u_h in V_h satisfying (at least approximately)

F(u_h; v) = 0 for all v in :math:`\hat V_h`

and a given goal functional M and tolerance tol, the aim is to find a V_H and a u_H in V_H satisfying the discrete problem such that

\|M(u) - M(u_H)\| < tol

This strategy is based on dual-weighted residual error estimators designed and automatically generated for the primal problem and subsequent h-adaptivity.

Constructor & Destructor Documentation

AdaptiveNonlinearVariationalSolver() [1/2]

AdaptiveNonlinearVariationalSolver::AdaptiveNonlinearVariationalSolver	(	std::shared_ptr< NonlinearVariationalProblem >	problem,
		std::shared_ptr< GoalFunctional >	goal
	)

Create AdaptiveNonlinearVariationalSolver (shared ptr version)

Arguments problem (NonlinearVariationalProblem) The primal problem goal (GoalFunctional) The goal functional

AdaptiveNonlinearVariationalSolver() [2/2]

AdaptiveNonlinearVariationalSolver::AdaptiveNonlinearVariationalSolver	(	std::shared_ptr< NonlinearVariationalProblem >	problem,
		std::shared_ptr< Form >	goal,
		std::shared_ptr< ErrorControl >	control
	)

Create AdaptiveLinearVariationalSolver from variational problem, goal form and error control instance

Arguments problem (NonlinearVariationalProblem) The primal problem goal (Form) The goal functional control (ErrorControl) An error controller object

Member Function Documentation

adapt_problem()

void AdaptiveNonlinearVariationalSolver::adapt_problem ( std::shared_ptr< const Mesh >  mesh )

virtual

Adapt the problem to other mesh.

Arguments mesh (Mesh) The other mesh

Implements dolfin::GenericAdaptiveVariationalSolver.

evaluate_goal()

double AdaptiveNonlinearVariationalSolver::evaluate_goal ( Form &  M, std::shared_ptr< const Function >  u  ) const

virtual

Evaluate the goal functional.

Arguments M (Form) The functional to be evaluated u (Function) The function at which to evaluate the functional

Returns double The value of M evaluated at u

Implements dolfin::GenericAdaptiveVariationalSolver.

extract_bcs()

std::vector< std::shared_ptr< const DirichletBC > > AdaptiveNonlinearVariationalSolver::extract_bcs ( ) const

virtual

Extract the boundary conditions for the primal problem.

Returns std::vector<DirichletBC> The primal boundary conditions

Implements dolfin::GenericAdaptiveVariationalSolver.

num_dofs_primal()

std::size_t AdaptiveNonlinearVariationalSolver::num_dofs_primal ( )

protectedvirtual

Return the number of degrees of freedom for primal problem

Returns std::size_t The number of degrees of freedom

Implements dolfin::GenericAdaptiveVariationalSolver.

solve_primal()

std::shared_ptr< const Function > AdaptiveNonlinearVariationalSolver::solve_primal ( )

virtual

Solve the primal problem.

Returns Function The solution to the primal problem

Implements dolfin::GenericAdaptiveVariationalSolver.

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

• /home/fenics/shared/dolfin/dolfin/adaptivity/AdaptiveNonlinearVariationalSolver.h
• /home/fenics/shared/dolfin/dolfin/adaptivity/AdaptiveNonlinearVariationalSolver.cpp