symfem.elements.bdm

Brezzi-Douglas-Marini elements on simplices.

This element’s definition appears in https://doi.org/10.1007/BF01389710 (Brezzi, Douglas, Marini, 1985)

Classes

BDM	Brezzi-Douglas-Marini Hdiv finite element.

Module Contents

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

Bases: symfem.finite_element.CiarletElement

Brezzi-Douglas-Marini Hdiv 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 = ['Brezzi-Douglas-Marini', 'BDM', 'N2div']

references = ['triangle', 'tetrahedron']

min_order = 1

continuity = 'H(div)'

value_type = 'vector'

last_updated = '2025.12'