AdaptiveLinearVariationalSolver

class dolfin.fem.adaptivesolving.AdaptiveLinearVariationalSolver(problem, goal)

Bases: dolfin.cpp.fem.AdaptiveLinearVariationalSolver

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

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

a(u, v) = L(v) for all v in \(\hat V\)

and a corresponding conforming discrete problem: find u_h in V_h satisfying

a(u_h, v) = L(v) 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.

Create AdaptiveLinearVariationalSolver

Arguments

problem (LinearVariationalProblem)

solve(tol)

Solve such that the estimated error in the functional ‘goal’ is less than the given tolerance ‘tol’

Arguments

tol (float)

The error tolerance