symfem.elements.huang_zhang

Huang-Zhang element on a quadrilateral.

This element’s definition appears in https://doi.org/10.1007/s11464-011-0094-0 (Huang, Zhang, 2011) and https://doi.org/10.1137/080728949 (Zhang, 2009)

Classes

HuangZhang

Huang-Zhang finite element.

Module Contents

class symfem.elements.huang_zhang.HuangZhang(reference: symfem.references.Reference, order: int, variant: str = 'equispaced')

Bases: symfem.finite_element.CiarletElement

Huang-Zhang finite element.

variant = 'equispaced'

init_kwargs() → dict[str, Any]

Return the kwargs used to create this element.

Returns:

Keyword argument dictionary

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 = ['Huang-Zhang', 'HZ']

references = ['quadrilateral']

min_order = 1

continuity = 'H(div)'

value_type = 'vector'

last_updated = '2025.10'