AdaptiveNonlinearVariationalSolver

class dolfin.cpp.fem.AdaptiveNonlinearVariationalSolver(*args)

Bases: dolfin.cpp.fem.GenericAdaptiveVariationalSolver

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 \(\hat V\)

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 \(\hat V_h\)

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.

Overloaded versions

• AdaptiveNonlinearVariationalSolver(problem, goal)

  Create AdaptiveNonlinearVariationalSolver

  Arguments

  problem (NonlinearVariationalProblem)

  The primal problem

  goal (GoalFunctional)

  The goal functional

• AdaptiveNonlinearVariationalSolver(problem, goal)

  Create AdaptiveNonlinearVariationalSolver (shared ptr version)

  Arguments

  problem (NonlinearVariationalProblem)

  The primal problem

  goal (GoalFunctional)

  The goal functional

• AdaptiveNonlinearVariationalSolver(problem, goal, 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

thisown None

The membership flag