warp.fem.space.shape.SquareShapeFunction#

class warp.fem.space.shape.SquareShapeFunction[source]#

Base class for shape functions defined on quadrilateral (square) elements.

__init__()#

Methods

`__init__`()
`make_element_inner_weight`()	Create a device function returning the value of the shape function associated to a given node at given coordinates.
`make_element_inner_weight_gradient`()	Create a device function returning the gradient of the shape function associated to a given node at given coordinates.
`make_node_coords_in_element`()	Create a device function returning the coordinates of each node.
`make_node_quadrature_weight`()	Create a device function returning the weight of each node when used as a quadrature point over the element.
`make_trace_node_quadrature_weight`()	Create a device function returning the weight of each node when used as a quadrature point over the element boundary.

Attributes

`EDGE_X`
`EDGE_Y`
`INTERIOR`
`VERTEX`
`name`	Unique name encoding all parameters defining the shape function
`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.

VERTEX = 0#

EDGE_X = 1#

EDGE_Y = 2#

INTERIOR = 3#

VERTEX_NODE_COUNT: int#: Number of shape function nodes per vertex.

EDGE_NODE_COUNT: int#: Number of shape function nodes per square edge (excluding vertex nodes).

INTERIOR_NODE_COUNT: int#: Number of shape function nodes per square (excluding edge and vertex nodes).