warp.fem.space.shape.CubeSerendipityShapeFunctions#

class warp.fem.space.shape.CubeSerendipityShapeFunctions( degree, family, scalar_type=warp.float32, )[source]#

Serendipity element: a tensor product space without interior nodes.

Edge shape functions are usual Lagrange shape functions times a bilinear function in the normal directions. Corner shape functions are trilinear shape functions times a function of (x^{d-1} + y^{d-1} + z^{d-1}).

Methods

`element_node_tets`()
`element_vtk_cells`()
`make_element_inner_weight`()
`make_element_inner_weight_gradient`()
`make_node_coords_in_element`()
`make_node_dual_weight`()
`make_node_quadrature_weight`()
`make_trace_node_quadrature_weight`()

Attributes

`EDGE`
`FACE`
`INTERIOR`
`INTERPOLATORY`	Whether each shape function is one at its own node and zero at the other nodes (Lagrange property).
`VERTEX`
`name`
`value`	Value type of the shape function.
`ORDER`	Maximum degree of the polynomials used to define the shape function.
`NODES_PER_ELEMENT`	Number of shape function nodes.

Parameters:

degree (int)
family (Polynomial)
scalar_type (type)

INTERPOLATORY: bool = True#: Whether each shape function is one at its own node and zero at the other nodes (Lagrange property).

property name: str[source]#

make_node_coords_in_element()[source]#

make_node_quadrature_weight()[source]#

make_trace_node_quadrature_weight()[source]#

make_element_inner_weight()[source]#

make_element_inner_weight_gradient()[source]#

make_node_dual_weight()[source]#

element_node_tets()[source]#

element_vtk_cells()[source]#