exact_solution.hpp

/******************************************************************************
 * 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.
 ******************************************************************************/
 
#ifndef ExactSolutionINTAXI_H__
#define ExactSolutionINTAXI_H__
 
#include <deal.II/base/function.h>
#include <deal.II/base/tensor.h>
 
#include <deal.II/lac/vector.h>
 
#include <cmath>
 
#include "constants.hpp"
#include "settings.hpp"
 
using namespace dealii;
 
template<bool is_cylinder>
class ExactSolutionINTAXI_PHI
  : public Function<2>
  , public SettingsINTAXI
{
public:
  ExactSolutionINTAXI_PHI();
 
  virtual double value(const Point<2>& r,
                       const unsigned int component = 0) const override final;
 
  virtual Tensor<1, 2> gradient(
    const Point<2>& r,
    const unsigned int component = 0) const override final;
 
private:
  double alpha;
  double beta;
};
 
template<bool is_cylinder>
class ExactSolutionINTAXI_E
  : public Function<2>
  , public SettingsINTAXI
{
public:
  ExactSolutionINTAXI_E()
    : Function<2>(2)
  {
  }
 
  virtual void vector_value_list(
    const std::vector<Point<2>>& r,
    std::vector<Vector<double>>& values) const final;
 
private:
  ExactSolutionINTAXI_PHI<is_cylinder> PHI;
};
 
template<bool is_cylinder>
class ExactSolutionINTAXI_D
  : public Function<2>
  , public SettingsINTAXI
{
public:
  ExactSolutionINTAXI_D()
    : Function<2>(2)
  {
  }
 
  virtual void vector_value_list(
    const std::vector<Point<2>>& r,
    std::vector<Vector<double>>& values) const final;
 
private:
  ExactSolutionINTAXI_PHI<is_cylinder> PHI;
};
 
#endif