symfem.elements.wu_xu

Wu-Xu elements on simplices.

This element’s definition appears in https://doi.org/10.1090/mcom/3361 (Wu, Xu, 2019)

Classes

WuXu

Wu-Xu finite element.

Functions

derivatives(→ list[tuple[int, Ellipsis]])

Return all the orders of a multidimensional derivative.

Module Contents

symfem.elements.wu_xu.derivatives(dim: int, order: int) → list[tuple[int, Ellipsis]]

Return all the orders of a multidimensional derivative.

Parameters:

  • dim – The topological dimension

  • order – The total derivative order

Returns:

List of derivative order tuples

class symfem.elements.wu_xu.WuXu(reference: symfem.references.Reference, order: int)

Bases: symfem.finite_element.CiarletElement

Wu-Xu finite element.

property lagrange_subdegree: int

Get the Lagrange subdegree of the element.

This is the degree of the highest degree Lagrange space whose polynomial space is a subspace of this element’s polynomial space.

property lagrange_superdegree: int | None

Get the Lagrange superdegree of the element.

This is the degree of the highest degree Lagrange space whose polynomial space is a superspace of this element’s polynomial space.

property polynomial_subdegree: int

Get the polynomial subdegree of the element.

This is the degree of the highest degree complete polynomial space that is a subspace of this element’s polynomial space.

property polynomial_superdegree: int | None

Get the polynomial superdegree of the element.

This is the degree of the highest degree complete polynomial space that is a superspace of this element’s polynomial space.

names = ['Wu-Xu']
references = ['interval', 'triangle', 'tetrahedron']
min_order
max_order
continuity = 'C0'
value_type = 'scalar'
last_updated = '2025.12'