GenericAdaptiveVariationalSolver

class dolfin.cpp.fem.GenericAdaptiveVariationalSolver(*args, **kwargs)

Bases: dolfin.cpp.common.Variable

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

adapt_problem()

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

Arguments

mesh (Mesh)

The other mesh

adaptive_data()

Return stored adaptive data

Returns

list of Parameters

The data stored in the adaptive loop

static 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)

evaluate_goal()

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

float

The value of M evaluated at u

extract_bcs()

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

Returns

list of DirichletBC

The primal boundary conditions

solve()

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 (float)

The error tolerance

solve_primal()

Solve the primal problem. Must be overloaded in subclass.

Returns

Function

The solution to the primal problem

summary()

Present summary of all adaptive data and parameters

thisown

The membership flag