pymor.analyticalproblems.stokes

Module Contents

class pymor.analyticalproblems.stokes.StokesProblem(domain, viscosity, rhs=None, dirichlet_data=None, parameter_ranges=None, name=None)

Bases: pymor.parameters.base.ParametricObject

Problem discretization of a Stokes equation.

The problem consists in solving

\[\begin{split}- \\mu \\Delta u(x, \\mu) + \nabla p(x, \\mu) & = f(x) \text{ in } \\Omega \\ \nabla \\cdot u(x, \\mu) & = 0 \text{ in } \\Omega\end{split}\]

for u and p.

Parameters:

• domain – A DomainDescription of the domain the problem is posed on.

• rhs – The Function f. rhs.dim_domain has to agree with the dimension of domain, whereas rhs.shape_range has to be (dim domain,).

• viscosity – The ParameterFunctional representing the viscosity coefficient mu.

• dirichlet_data – Function providing the Dirichlet boundary values. dirichlet_data.shape_range has to be (dim domain,).

• parameter_ranges – Ranges of interest for the Parameter of the problem.

• name – Name of the problem.

domain

rhs

dirichlet_data

viscosity

parameter_ranges

name