exact_solution.h

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// The libMesh Finite Element Library.
// Copyright (C) 2002-2014 Benjamin S. Kirk, John W. Peterson, Roy H. Stogner

// This library is free software; you can redistribute it and/or
// modify it under the terms of the GNU Lesser General Public
// License as published by the Free Software Foundation; either
// version 2.1 of the License, or (at your option) any later version.

// This library 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
// Lesser General Public License for more details.

// You should have received a copy of the GNU Lesser General Public
// License along with this library; if not, write to the Free Software
// Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA

#ifndef LIBMESH_EXACT_SOLUTION_H
#define LIBMESH_EXACT_SOLUTION_H


// Local Includes
#include "libmesh/libmesh_common.h" // for Number
#include "libmesh/enum_norm_type.h"

// C++ includes
#include <map>
#include <vector>

namespace libMesh
{


// Forward Declarations
class Point;
class EquationSystems;
class Parameters;
class Mesh;
template <typename Output> class FunctionBase;

// Is there any way to simplify this?
// All we need are Tensor and Gradient. - RHS
template <typename T> class TensorValue;
template <typename T> class VectorValue;
typedef TensorValue<Number> NumberTensorValue;
typedef NumberTensorValue   Tensor;
typedef VectorValue<Number> NumberVectorValue;
typedef NumberVectorValue   Gradient;

class ExactSolution
{

public:
  explicit
  ExactSolution (const EquationSystems& es);

  ~ExactSolution();


  void attach_reference_solution (const EquationSystems* es_fine);

  void attach_exact_values (std::vector<FunctionBase<Number> *> f);

  void attach_exact_value (unsigned int sys_num,
                           FunctionBase<Number>* f);

  void attach_exact_value (Number fptr(const Point& p,
                                       const Parameters& Parameters,
                                       const std::string& sys_name,
                                       const std::string& unknown_name));

  void attach_exact_derivs (std::vector<FunctionBase<Gradient> *> g);

  void attach_exact_deriv (unsigned int sys_num,
                           FunctionBase<Gradient>* g);

  void attach_exact_deriv (Gradient gptr(const Point& p,
                                         const Parameters& parameters,
                                         const std::string& sys_name,
                                         const std::string& unknown_name));

  void attach_exact_hessians (std::vector<FunctionBase<Tensor> *> h);

  void attach_exact_hessian (unsigned int sys_num,
                             FunctionBase<Tensor>* h);

  void attach_exact_hessian (Tensor hptr(const Point& p,
                                         const Parameters& parameters,
                                         const std::string& sys_name,
                                         const std::string& unknown_name));

  void extra_quadrature_order (const int extraorder)
  { _extra_order = extraorder; }

  void compute_error(const std::string& sys_name,
                     const std::string& unknown_name);

  Real l2_error(const std::string& sys_name,
                const std::string& unknown_name);

  Real l1_error(const std::string& sys_name,
                const std::string& unknown_name);

  Real l_inf_error(const std::string& sys_name,
                   const std::string& unknown_name);

  Real h1_error(const std::string& sys_name,
                const std::string& unknown_name);

  Real hcurl_error(const std::string& sys_name,
                   const std::string& unknown_name);

  Real hdiv_error(const std::string& sys_name,
                  const std::string& unknown_name);

  Real h2_error(const std::string& sys_name,
                const std::string& unknown_name);

  Real error_norm(const std::string& sys_name,
                  const std::string& unknown_name,
                  const FEMNormType& norm);
private:

  template<typename OutputShape>
  void _compute_error(const std::string& sys_name,
                      const std::string& unknown_name,
                      std::vector<Real>& error_vals);

  std::vector<Real>& _check_inputs(const std::string& sys_name,
                                   const std::string& unknown_name);

  std::vector<FunctionBase<Number> *> _exact_values;

  std::vector<FunctionBase<Gradient> *> _exact_derivs;

  std::vector<FunctionBase<Tensor> *> _exact_hessians;

  typedef std::map<std::string, std::vector<Real> > SystemErrorMap;

  std::map<std::string, SystemErrorMap> _errors;

  const EquationSystems& _equation_systems;

  const EquationSystems* _equation_systems_fine;

  int _extra_order;
};



} // namespace libMesh


#endif // LIBMESH_EXACT_SOLUTION_H