radial_basis_interpolation.h

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// The libMesh Finite Element Library.
// Copyright (C) 2002-2026 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/bounding_box.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:
 
  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)
  { }
 
  virtual void clear() override;
 
  virtual void prepare_for_use () override;
 
  virtual void interpolate_field_data (const std::vector<std::string> & field_names,
                                       const std::vector<Point> & tgt_pts,
                                       std::vector<Number> & tgt_vals) const override;
};
 
} // namespace libMesh
 
 
#endif // #define LIBMESH_RADIAL_BASIS_INTERPOLATION_H