GenericAdaptiveVariationalSolver.h

Note

The documentation on this page was automatically extracted from the DOLFIN C++ code and may need to be edited or expanded.

class GenericAdaptiveVariationalSolver

Parent class(es)

• Variable

An abstract class for goal-oriented adaptive solution of variational problems.

void solve(const double tol)

Solve such that the functional error is less than the given tolerance. Note that each call to solve is based on the leaf-node of the variational problem

Arguments

tol (double)

The error tolerance

std::shared_ptr<const Function> solve_primal() = 0

Solve the primal problem. Must be overloaded in subclass.

Returns

Function

The solution to the primal problem

std::vector<std::shared_ptr<const DirichletBC>> extract_bcs() const = 0

Extract the boundary conditions for the primal problem. Must be overloaded in subclass.

Returns

std::vector<DirichletBC>

The primal boundary conditions

double evaluate_goal(Form& M, std::shared_ptr<const Function> u) const = 0

Evaluate the goal functional. Must be overloaded in subclass.

Arguments

M (Form)

The functional to be evaluated

u (Function)

The function of which to evaluate the functional

Returns

double

The value of M evaluated at u

void adapt_problem(std::shared_ptr<const Mesh> mesh) = 0

Adapt the problem to other mesh. Must be overloaded in subclass.

Arguments

mesh (Mesh)

The other mesh

std::vector<std::shared_ptr<Parameters>> adaptive_data() const

Return stored adaptive data

Returns

std::vector<Parameters>

The data stored in the adaptive loop

static Parameters default_parameters()

Default parameter values:

“max_iterations” (int) “max_dimension” (int) “plot_mesh” (bool) “save_data” (bool) “data_label” (std::string) “reference” (double) “marking_strategy” (std::string) “marking_fraction” (double)

void summary()

Present summary of all adaptive data and parameters

std::size_t num_dofs_primal() = 0

Return the number of degrees of freedom for primal problem

Returns

_std::size_t_

The number of degrees of freedom