pymor.analyticalproblems.instationary

Module Contents

class pymor.analyticalproblems.instationary.InstationaryProblem(stationary_part, initial_data, T=1.0, parameter_ranges=None, name=None)

Bases: pymor.parameters.base.ParametricObject

Instationary problem description.

This class describes an instationary problem of the form

|    ∂_t u(x, t, μ) + A(u(x, t, μ), t, μ) = f(x, t, μ),
|                              u(x, 0, μ) = u_0(x, μ)

where A, f are given by the problem’s stationary_part and t is allowed to vary in the interval [0, T].

Parameters

stationary_part

The stationary part of the problem.

initial_data

Function providing the initial values u_0.

T

The final time T.

parameter_ranges

Ranges of interest for the Parameters of the problem.

name

Name of the problem.

T

stationary_part

parameter_ranges

name

Methods

with_stationary_part

with_stationary_part(**kwargs)