exact_solution.cpp

/******************************************************************************
 * Copyright (C) Siarhei Uzunbajakau, 2023.
 *
 * This program is free software. You can use, modify, and redistribute it under
 * the terms of the GNU Lesser General Public License as published by the Free
 * Software Foundation, either version 3 or (at your option) any later version.
 * This program is distributed without any warranty.
 *
 * Refer to COPYING.LESSER for more details.
 ******************************************************************************/
 
#include "exact_solution.hpp"
 
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wunused-parameter"
 
using namespace dealii;
using namespace std;
 
template<>
double
ExactSolutionCBND_PHI<2>::value(const Point<2>& r,
                                const unsigned int component) const
{
  return (log(b) - log(r.norm())) / (log(b) - log(a));
}
 
template<>
Tensor<1, 2>
ExactSolutionCBND_PHI<2>::gradient(const Point<2>& r,
                                   const unsigned int component) const
{
  return -1.0 / (log(b) - log(a)) * r / r.square();
}
 
template<>
double
ExactSolutionCBND_PHI<3>::value(const Point<3>& r,
                                const unsigned int component) const
{
  return (a * b / (b - a)) * (1 / r.norm() - 1 / b);
}
 
template<>
Tensor<1, 3>
ExactSolutionCBND_PHI<3>::gradient(const Point<3>& r,
                                   const unsigned int component) const
{
  return -a * b / (b - a) * r / pow(r.norm(), 3);
}
 
#pragma GCC diagnostic pop