Coverage for src/pymor/analyticalproblems/elliptic : 100%

# -*- coding: utf-8 -*- 

# This file is part of the pyMOR project (http://www.pymor.org). 

# Copyright Holders: Rene Milk, Stephan Rave, Felix Schindler 

# License: BSD 2-Clause License (http://opensource.org/licenses/BSD-2-Clause) 

from __future__ import absolute_import, division, print_function 

from pymor.core import ImmutableInterface 

from pymor.domaindescriptions import RectDomain 

from pymor.functions import ConstantFunction 

from pymor.tools import Named 

class EllipticProblem(ImmutableInterface, Named): 

    '''Linear elliptic analytical problem. 

    The problem consists in solving :: 

    |        K 

    |  - ∇ ⋅ ∑  θ_k(μ) ⋅ d_k(x) ∇ u(x, μ) = f(x, μ) 

    |       k=0 

    for u. 

    Parameters 

    ---------- 

    domain 

        A |DomainDescription| of the domain the problem is posed on. 

    rhs 

        The |Function| f(x, μ). 

    diffusion_functions 

        List of the |functions| d_k(x). 

    diffusion_functionals 

        List of the |ParameterFunctionals| θ_k(μ). If None, and 

        `len(diffusion_functions) > 1` let θ_k be the kth projection of the 

        coefficient part of μ.  If None and `len(diffusion_functions) == 1`, 

        no parameter dependence is assumed. 

    dirichlet_data 

        |Function| providing the Dirichlet boundary values in global coordinates. 

    name 

        Name of the problem. 

    Attributes 

    ---------- 

    domain 

    rhs 

    diffusion_functions 

    diffusion_functionals 

    dirichlet_data 

    ''' 

    def __init__(self, domain=RectDomain(), rhs=ConstantFunction(dim_domain=2), 

                 diffusion_functions=(ConstantFunction(dim_domain=2),), 

                 diffusion_functionals=None, 

                 dirichlet_data=ConstantFunction(value=0, dim_domain=2), name=None): 

        self.domain = domain 

        self.rhs = rhs 

        self.diffusion_functions = diffusion_functions 

        self.diffusion_functionals = diffusion_functionals 

        self.dirichlet_data = dirichlet_data 

        self.name = name