moab::Element Namespace Reference

Classes
class	Map
	Class representing a map (diffeomorphism) F parameterizing a 3D element by its canonical preimage. More...
class	LinearHex
	Shape function space for trilinear hexahedron, obtained by a pushforward of the canonical linear (affine) functions. More...
class	QuadraticHex
	Shape function space for trilinear hexahedron, obtained by a pushforward of the canonical linear (affine) functions. More...
class	LinearTet
	Shape function space for a linear tetrahedron, obtained by a pushforward of the canonical affine shape functions. More...
class	SpectralHex
class	LinearQuad
	Shape function space for bilinear quadrilateral, obtained from the canonical linear (affine) functions. More...
class	SphericalQuad
	Shape function space for bilinear quadrilateral on sphere, obtained from the canonical linear (affine) functions. It is mapped using gnomonic projection to a plane tangent at the first vertex It works well for edges that are great circle arcs; RLL meshes do not have this property, but HOMME or MPAS meshes do have it. More...
class	LinearTri
	Shape function space for linear triangle, similar to linear tet. More...
class	SphericalTri
	Shape function space for linear triangle on sphere, obtained from the canonical linear (affine) functions. It is mapped using gnomonic projection to a plane tangent at the first vertex It works well for edges that are great circle arcs; RLL meshes do not have this property, but HOMME or MPAS meshes do have it. More...
class	LinearEdge
	Shape function space for bilinear quadrilateral, obtained from the canonical linear (affine) functions. More...
class	SpectralQuad

Functions
double	SH (const int i, const double xi)
double	DSH (const int i, const double xi)

Function Documentation

DSH()

double moab::Element::DSH	(	const int	i,
		const double	xi
	)

Definition at line 821 of file ElemUtil.cpp.

  822     {
  823         switch( i )
  824         {
  825             case -1:
  826                 return xi - 0.5;
  827             case 0:
  828                 return -2 * xi;
  829             case 1:
  830                 return xi + 0.5;
  831             default:
  832                 return 0.;
  833         }
  834     }

Referenced by moab::Element::QuadraticHex::jacobian(), and moab::element_utility::Quadratic_hex_map< _Matrix >::jacobian().

SH()

double moab::Element::SH	(	const int	i,
		const double	xi
	)

Definition at line 807 of file ElemUtil.cpp.

  808     {
  809         switch( i )
  810         {
  811             case -1:
  812                 return ( xi * xi - xi ) / 2;
  813             case 0:
  814                 return 1 - xi * xi;
  815             case 1:
  816                 return ( xi * xi + xi ) / 2;
  817             default:
  818                 return 0.;
  819         }
  820     }

Referenced by moab::Element::QuadraticHex::evaluate(), moab::element_utility::Quadratic_hex_map< _Matrix >::evaluate(), moab::Element::QuadraticHex::evaluate_scalar_field(), moab::element_utility::Quadratic_hex_map< _Matrix >::evaluate_scalar_field(), moab::Element::QuadraticHex::jacobian(), and moab::element_utility::Quadratic_hex_map< _Matrix >::jacobian().