nonlinear_solver.h

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// The libMesh Finite Element Library.
// Copyright (C) 2002-2018 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_NONLINEAR_SOLVER_H
#define LIBMESH_NONLINEAR_SOLVER_H

// Local includes
#include "libmesh/libmesh_common.h"
#include "libmesh/reference_counted_object.h"
#include "libmesh/nonlinear_implicit_system.h"
#include "libmesh/libmesh.h"
#include "libmesh/parallel_object.h"
#include "libmesh/auto_ptr.h" // deprecated

#ifdef LIBMESH_FORWARD_DECLARE_ENUMS
namespace libMesh
{
enum SolverPackage : int;
}
#else
#include "libmesh/enum_solver_package.h"
#endif

// C++ includes
#include <cstddef>
#include <memory>

namespace libMesh
{

// forward declarations
template <typename T> class SparseMatrix;
template <typename T> class NumericVector;
template <typename T> class Preconditioner;
class SolverConfiguration;

template <typename T>
class NonlinearSolver : public ReferenceCountedObject<NonlinearSolver<T>>,
                        public ParallelObject
{
public:
  typedef NonlinearImplicitSystem sys_type;

  explicit
  NonlinearSolver (sys_type & s);

  virtual ~NonlinearSolver ();

  static std::unique_ptr<NonlinearSolver<T>> build(sys_type & s,
                                                   const SolverPackage solver_package = libMesh::default_solver_package());

  bool initialized () const { return _is_initialized; }

  virtual void clear () {}

  virtual void init (const char * name = nullptr) = 0;

  virtual std::pair<unsigned int, Real> solve (SparseMatrix<T> &,  // System Jacobian Matrix
                                               NumericVector<T> &, // Solution vector
                                               NumericVector<T> &, // Residual vector
                                               const double,      // Stopping tolerance
                                               const unsigned int) = 0; // N. Iterations

  virtual void print_converged_reason() { libmesh_not_implemented(); }

  virtual int get_total_linear_iterations() = 0;

  virtual unsigned get_current_nonlinear_iteration_number() const = 0;

  void (* residual) (const NumericVector<Number> & X,
                     NumericVector<Number> & R,
                     sys_type & S);

  NonlinearImplicitSystem::ComputeResidual * residual_object;

  NonlinearImplicitSystem::ComputeResidual * fd_residual_object;

  NonlinearImplicitSystem::ComputeResidual * mffd_residual_object;

  void (* jacobian) (const NumericVector<Number> & X,
                     SparseMatrix<Number> & J,
                     sys_type & S);

  NonlinearImplicitSystem::ComputeJacobian * jacobian_object;

  void (* matvec) (const NumericVector<Number> & X,
                   NumericVector<Number> * R,
                   SparseMatrix<Number> * J,
                   sys_type & S);

  NonlinearImplicitSystem::ComputeResidualandJacobian * residual_and_jacobian_object;

  void (* bounds) (NumericVector<Number> & XL,
                   NumericVector<Number> & XU,
                   sys_type & S);
  NonlinearImplicitSystem::ComputeBounds * bounds_object;

  void (* nullspace) (std::vector<NumericVector<Number> *> & sp, sys_type & S);

  NonlinearImplicitSystem::ComputeVectorSubspace * nullspace_object;

  void (* transpose_nullspace) (std::vector<NumericVector<Number> *> & sp, sys_type & S);

  NonlinearImplicitSystem::ComputeVectorSubspace * transpose_nullspace_object;

  void (* nearnullspace) (std::vector<NumericVector<Number> *> & sp, sys_type & S);

  NonlinearImplicitSystem::ComputeVectorSubspace * nearnullspace_object;

  void (* user_presolve)(sys_type & S);

  void (* postcheck) (const NumericVector<Number> & old_soln,
                      NumericVector<Number> & search_direction,
                      NumericVector<Number> & new_soln,
                      bool & changed_search_direction,
                      bool & changed_new_soln,
                      sys_type & S);

  NonlinearImplicitSystem::ComputePostCheck * postcheck_object;

  const sys_type & system () const { return _system; }

  sys_type & system () { return _system; }

  void attach_preconditioner(Preconditioner<T> * preconditioner);

  unsigned int max_nonlinear_iterations;

  unsigned int max_function_evaluations;

  Real absolute_residual_tolerance;
  Real relative_residual_tolerance;

  Real absolute_step_tolerance;
  Real relative_step_tolerance;

  unsigned int max_linear_iterations;

  Real initial_linear_tolerance;

  Real minimum_linear_tolerance;

  bool converged;

  void set_solver_configuration(SolverConfiguration & solver_configuration);

protected:
  sys_type & _system;

  bool _is_initialized;

  Preconditioner<T> * _preconditioner;

  SolverConfiguration * _solver_configuration;
};




/*----------------------- inline functions ----------------------------------*/
template <typename T>
inline
NonlinearSolver<T>::NonlinearSolver (sys_type & s) :
  ParallelObject               (s),
  residual                     (nullptr),
  residual_object              (nullptr),
  fd_residual_object           (nullptr),
  mffd_residual_object         (nullptr),
  jacobian                     (nullptr),
  jacobian_object              (nullptr),
  matvec                       (nullptr),
  residual_and_jacobian_object (nullptr),
  bounds                       (nullptr),
  bounds_object                (nullptr),
  nullspace                    (nullptr),
  nullspace_object             (nullptr),
  transpose_nullspace          (nullptr),
  transpose_nullspace_object   (nullptr),
  nearnullspace                (nullptr),
  nearnullspace_object         (nullptr),
  user_presolve                (nullptr),
  postcheck                    (nullptr),
  postcheck_object             (nullptr),
  max_nonlinear_iterations(0),
  max_function_evaluations(0),
  absolute_residual_tolerance(0),
  relative_residual_tolerance(0),
  absolute_step_tolerance(0),
  relative_step_tolerance(0),
  max_linear_iterations(0),
  initial_linear_tolerance(0),
  minimum_linear_tolerance(0),
  converged(false),
  _system(s),
  _is_initialized (false),
  _preconditioner (nullptr),
  _solver_configuration(nullptr)
{
}



template <typename T>
inline
NonlinearSolver<T>::~NonlinearSolver ()
{
  this->clear ();
}


} // namespace libMesh


#endif // LIBMESH_NONLINEAR_SOLVER_H