symfem.elements.morley_wang_xu

Morley-Wang-Xu elements on simplices.

This element’s definition appears in https://doi.org/10.1090/S0025-5718-2012-02611-1 (Wang, Xu, 2013)

Classes

MorleyWangXu

Morley-Wang-Xu finite element.

Module Contents

class symfem.elements.morley_wang_xu.MorleyWangXu(reference: symfem.references.Reference, order: int)

Bases: symfem.finite_element.CiarletElement

Morley-Wang-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 = ['Morley-Wang-Xu', 'MWX']
references = ['interval', 'triangle', 'tetrahedron']
min_order = 1
max_order
continuity = 'C{order}'
value_type = 'scalar'
last_updated = '2025.12'