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///
/// This file is part of Rheolef.
///
/// Copyright (C) 2000-2018 Pierre Saramito <Pierre.Saramito@imag.fr>
///
/// Rheolef is free software; you can redistribute it and/or modify
/// it under the terms of the GNU General Public License as published by
/// the Free Software Foundation; either version 2 of the License, or
/// (at your option) any later version.
///
/// Rheolef is distributed in the hope that it will be useful,
/// but WITHOUT ANY WARRANTY; without even the implied warranty of
/// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
/// GNU General Public License for more details.
///
/// You should have received a copy of the GNU General Public License
/// along with Rheolef; if not, write to the Free Software
/// Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
///
/// =========================================================================
//! @examplefile diffusion_tensor_exact.icc The tensorial diffusion benchmark -- right-hand-side and exact solution
struct sigma_exact {
tensor operator() (const point& x) const {
Float pi = acos(Float(-1.0));
tensor s;
s(0,0) = cos(pi * x[0]);
s(1,1) = cos(pi * x[1]);
s(0,1) =
s(1,0) = sin(pi * x[0] * x[1]);
return s;
}
sigma_exact ()
{}
};
struct chi {
tensor operator() (const point& x) const {
Float pi = acos(Float(-1.0));
tensor s;
s(0,0) = (1 + sqr(pi)) * cos(pi * x[0]);
s(1,1) = (1 + sqr(pi)) * cos(pi * x[1]);
s(0,1) =
s(1,0) = (1 + sqr(pi) * (sqr(x[0]) + sqr(x[1]))) * sin(pi * x[0] * x[1]);
return s;
}
chi () {}
};
typedef sigma_exact sigma_g;
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