warp.fem.space.shape.SquareSerendipityShapeFunctions#

class warp.fem.space.shape.SquareSerendipityShapeFunctions(degree, family)[source]#

Serendipity element: a tensor product space without interior nodes.

Side shape functions are usual Lagrange shape functions times a linear function in the normal direction. Corner shape functions are bilinear shape functions times a function of (x^{d-1} + y^{d-1}).

Parameters:

degree (int)
family (Polynomial)

__init__(degree, family)[source]#

Parameters:

degree (int)
family (Polynomial)

Methods

`__init__`(degree, family)
`element_node_triangulation`()
`element_vtk_cells`()
`make_element_inner_weight`()
`make_element_inner_weight_gradient`()
`make_node_coords_in_element`()
`make_node_quadrature_weight`()
`make_trace_node_quadrature_weight`()

Attributes

`EDGE_X`
`EDGE_Y`
`INTERIOR`
`VERTEX`
`name`
`value`	Value type of the shape function.
`VERTEX_NODE_COUNT`	Number of shape function nodes per vertex.
`EDGE_NODE_COUNT`	Number of shape function nodes per square edge (excluding vertex nodes).
`INTERIOR_NODE_COUNT`	Number of shape function nodes per square (excluding edge and vertex nodes).
`ORDER`	Maximum degree of the polynomials used to define the shape function.
`NODES_PER_ELEMENT`	Number of shape function nodes.

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]#

element_node_triangulation()[source]#

element_vtk_cells()[source]#