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.)
Real	operator() (Real) const
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. Constructor. Evaluate the radial basis function at the requested location. 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<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.; }

operator()() [2/5]

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()() [3/5]

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()() [4/5]

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()() [5/5]

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.);
}

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:

• radial_basis_functions.h