libMesh::WendlandRBF< SpaceDim, Continuity > Class Template Reference

Interface for evaluating Wendland's radial basis functions. More...

#include <radial_basis_functions.h>

Public Member Functions
	WendlandRBF (const Real r_cut=1.)
	Constructor. More...
Real	operator() (Real) const
	Evaluate the radial basis function at the requested location. More...
template<>
Real	operator() (Real rad) const
template<>
Real	operator() (Real rad) const
template<>
Real	operator() (Real rad) const
template<>
Real	operator() (Real rad) const

Private Attributes
const Real	_rcut

Detailed Description

template<unsigned int SpaceDim, unsigned int Continuity>
class libMesh::WendlandRBF< SpaceDim, Continuity >

Interface for evaluating Wendland's radial basis functions.

  Simple radial basis function.
 ‍/

class SimpleRBF { private: const Real _rcut;

public:

/** Constructor. ‍/ SimpleRBF (const Real r_cut = 1.) : _rcut (r_cut) {}

/** Evaluate the radial basis function at the requested location. ‍/ Real operator()(Real rad) const { if (rad > _rcut) return 0.;

rad /= _rcut;

return std::sqrt( 1+ rad*rad ); } };

/** Wendland's compactly supported Radial Basis Functions.

Author

Benjamin S. Kirk

Date

2013

Definition at line 75 of file radial_basis_functions.h.

Constructor & Destructor Documentation

WendlandRBF()

template<unsigned int SpaceDim, unsigned int Continuity>

libMesh::WendlandRBF< SpaceDim, Continuity >::WendlandRBF ( const Real  r_cut = 1. )

inline

Constructor.

Definition at line 85 of file radial_basis_functions.h.

                                      :
    _rcut (r_cut)
  { libmesh_experimental(); }

Member Function Documentation

operator()() [1/5]

template<>

Real libMesh::WendlandRBF< 3, 0 >::operator() ( Real  rad ) const

inline

Definition at line 101 of file radial_basis_functions.h.

{
  if (rad > _rcut) return 0.;
 
  rad /= _rcut;
 
  return Utility::pow<2>(1.-rad);
}

operator()() [2/5]

template<>

Real libMesh::WendlandRBF< 3, 2 >::operator() ( Real  rad ) const

inline

Definition at line 112 of file radial_basis_functions.h.

{
  if (rad > _rcut) return 0.;
 
  rad /= _rcut;
 
  return Utility::pow<4>(1.-rad)*(4.*rad + 1.);
}

operator()() [3/5]

template<>

Real libMesh::WendlandRBF< 3, 4 >::operator() ( Real  rad ) const

inline

Definition at line 123 of file radial_basis_functions.h.

{
  if (rad > _rcut) return 0.;
 
  rad /= _rcut;
 
  return Utility::pow<6>(1.-rad)*((35.*rad + 18.)*rad + 3.);
}

operator()() [4/5]

template<>

Real libMesh::WendlandRBF< 3, 8 >::operator() ( Real  rad ) const

inline

Definition at line 134 of file radial_basis_functions.h.

{
  if (rad > _rcut) return 0.;
 
  rad /= _rcut;
 
  return Utility::pow<8>(1.-rad)*(((32.*rad + 25.)*rad + 8.)*rad + 1.);
}

operator()() [5/5]

template<unsigned int SpaceDim, unsigned int Continuity>

Real libMesh::WendlandRBF< SpaceDim, Continuity >::operator() ( Real  ) const

inline

Evaluate the radial basis function at the requested location.

Definition at line 92 of file radial_basis_functions.h.

{ libmesh_not_implemented(); return 0.; }

Member Data Documentation

_rcut

template<unsigned int SpaceDim, unsigned int Continuity>

const Real libMesh::WendlandRBF< SpaceDim, Continuity >::_rcut

private

Definition at line 78 of file radial_basis_functions.h.

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The documentation for this class was generated from the following file:

• include/solution_transfer/radial_basis_functions.h