getfem_fem_global_function.h

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/* -*- c++ -*- (enables emacs c++ mode) */
/*===========================================================================

 Copyright (C) 2004-2017 Yves Renard
 Copyright (C) 2016      Konstantinos Poulios

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/**@file getfem_fem_global_function.h
   @author  Yves Renard <Yves.Renard@insa-lyon.fr>, J. Pommier
   @date March, 2005.
   @brief Define mesh_fem whose base functions are global function given by the user.
*/
#ifndef GETFEM_FEM_GLOBAL_FUNCTION_H__
#define GETFEM_FEM_GLOBAL_FUNCTION_H__

#include "getfem_fem.h"
#include "getfem_mesh_fem.h"
#include "getfem_global_function.h"

namespace getfem {

  /// fem object with global basis functions.
  class fem_global_function : public virtual_fem, public context_dependencies {
  protected :
    std::vector<pglobal_function> functions;
    const mesh &m;
    const mesh_im &mim;
    const bool has_mesh_im;

    mutable std::vector<std::vector<size_type> > index_of_global_dof_;
    mutable bgeot::pstored_point_tab pspt_override;

    struct precomp_data { std::vector<base_tensor> val, grad, hess; };

    class precomp_pool
    : virtual public dal::static_stored_object,
      public std::vector< std::map<bgeot::pstored_point_tab,
                                   precomp_data > >
    {};

    // store values, gradients and hessians of base functions
    mutable std::shared_ptr<precomp_pool> precomps;

    DAL_SIMPLE_KEY(precomp_pool_key, std::shared_ptr<precomp_pool>);

    void init();
    virtual void update_from_context() const;
  public :
    virtual size_type nb_dof(size_type cv) const;
    virtual size_type index_of_global_dof(size_type cv, size_type i) const;
    virtual bgeot::pconvex_ref ref_convex(size_type cv) const;
    virtual const bgeot::convex<base_node> &node_convex(size_type cv) const;
    virtual bgeot::pstored_point_tab node_tab(size_type) const
    { return pspt_override; }

    void base_value(const base_node &, base_tensor &) const;
    void grad_base_value(const base_node &, base_tensor &) const;
    void hess_base_value(const base_node &, base_tensor &) const;

    void real_base_value(const fem_interpolation_context& c,
                         base_tensor &t, bool = true) const;
    void real_grad_base_value(const fem_interpolation_context& c,
                              base_tensor &t, bool = true) const;
    void real_hess_base_value(const fem_interpolation_context&,
                              base_tensor &, bool = true) const;

    fem_global_function(const std::vector<pglobal_function> &funcs,
                        const mesh &m_);
    fem_global_function(const std::vector<pglobal_function> &funcs,
                        const mesh_im &mim_);
    virtual ~fem_global_function()
    { DAL_STORED_OBJECT_DEBUG_DESTROYED(this, "Global function fem"); }
  };

  /** create a new global function FEM. 
      @param funcs is a vector containing all global basis functions.
      @param m is the mesh to be used for numerical integration in the assembly.
  */
  pfem new_fem_global_function(const std::vector<pglobal_function> &funcs,
                               const mesh &m);

  /** create a new global function FEM. 
      @param funcs is a vector containing all global basis functions.
      @param mim is the integration method to be used in the assembly.
  */
  pfem new_fem_global_function(const std::vector<pglobal_function> &funcs,
                               const mesh_im &mim);

  /** release a global function FEM */
  inline void del_fem_global_function(const pfem &pf)
  { dal::del_stored_object(pf); }


}  /* end of namespace getfem.                                            */

#endif