warp.fem.space.shape.TriangleShapeFunction#

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

Base class for shape functions defined on triangular elements.

Methods

`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_dual_weight`()	Create a device function returning the reference-space dual weight 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.
`node_type_and_index`(node_index_in_elt)

Attributes

`EDGE`
`INTERIOR`
`INTERPOLATORY`	Whether each shape function is one at its own node and zero at the other nodes (Lagrange property).
`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 triangle edge (excluding vertex nodes).
`INTERIOR_NODE_COUNT`	Number of shape function nodes per triangle (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 = 1#

INTERIOR = 2#

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

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

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

static node_type_and_index(node_index_in_elt)[source]#

Parameters:: node_index_in_elt (int)