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.

    {
        switch( i )
        {
            case -1:
                return xi - 0.5;
            case 0:
                return -2 * xi;
            case 1:
                return xi + 0.5;
            default:
                return 0.;
        }
    }

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.

    {
        switch( i )
        {
            case -1:
                return ( xi * xi - xi ) / 2;
            case 0:
                return 1 - xi * xi;
            case 1:
                return ( xi * xi + xi ) / 2;
            default:
                return 0.;
        }
    }

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().