radial_basis_interpolation.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_RADIAL_BASIS_INTERPOLATION_H
#define LIBMESH_RADIAL_BASIS_INTERPOLATION_H

// Local includes
#include "libmesh/libmesh_config.h"
#include "libmesh/libmesh_common.h"
#include "libmesh/meshfree_interpolation.h"
#include "libmesh/radial_basis_functions.h"
#include "libmesh/mesh_tools.h"



namespace libMesh
{
template <unsigned int KDDim, class RBF = WendlandRBF<KDDim, 2> >
class RadialBasisInterpolation : public InverseDistanceInterpolation<KDDim>
{
  using InverseDistanceInterpolation<KDDim>::_src_pts;
  using InverseDistanceInterpolation<KDDim>::_src_vals;
  using InverseDistanceInterpolation<KDDim>::_names;

protected:

  MeshTools::BoundingBox _src_bbox;

  std::vector<Number> _weights;

  Real _r_bbox;

  Real _r_override;

public:

  RadialBasisInterpolation (const libMesh::Parallel::Communicator &comm_in,
                            Real radius=-1) :
    InverseDistanceInterpolation<KDDim> (comm_in,8,2),
    _r_bbox(0.),
    _r_override(radius)
  { libmesh_experimental(); }

  virtual void clear();

  virtual void prepare_for_use ();

  virtual void interpolate_field_data (const std::vector<std::string> &field_names,
                                       const std::vector<Point>  &tgt_pts,
                                       std::vector<Number> &tgt_vals) const;

};

} // namespace libMesh


#endif // #define LIBMESH_RADIAL_BASIS_INTERPOLATION_H