Source code for pymor.analyticalproblems.instationary

# This file is part of the pyMOR project (
# Copyright 2013-2020 pyMOR developers and contributors. All rights reserved.
# License: BSD 2-Clause License (

from pymor.parameters.base import ParametricObject, ParameterSpace
from import FrozenDict

[docs]class InstationaryProblem(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. Attributes ---------- T stationary_part parameter_ranges name """ def __init__(self, stationary_part, initial_data, T=1., parameter_ranges=None, name=None): name = name or ('instationary_' + assert (initial_data is None or initial_data.dim_domain == stationary_part.domain.dim and initial_data.shape_range == ()) assert (parameter_ranges is None or (isinstance(parameter_ranges, (list, tuple)) and len(parameter_ranges) == 2 and parameter_ranges[0] <= parameter_ranges[1]) or (isinstance(parameter_ranges, dict) and all(isinstance(v, (list, tuple)) and len(v) == 2 and v[0] <= v[1] for v in parameter_ranges.values()))) parameter_ranges = ( None if parameter_ranges is None else tuple(parameter_ranges) if isinstance(parameter_ranges, (list, tuple)) else FrozenDict((k, tuple(v)) for k, v in parameter_ranges.items()) ) self.__auto_init(locals()) def with_stationary_part(self, **kwargs): return self.with_(stationary_part=self.stationary_part.with_(**kwargs)) @property def parameter_space(self): if self.parameter_ranges is None: return None else: return ParameterSpace(self.parameters, self.parameter_ranges)