symfem.elements.bernardi_raugel

Bernardi-Raugel elements on simplices.

This element’s definition appears in https://doi.org/10.2307/2007793 (Bernardi and Raugel, 1985)

Classes

BernardiRaugel

Bernardi-Raugel Hdiv finite element.

Module Contents

class symfem.elements.bernardi_raugel.BernardiRaugel(reference: symfem.references.Reference, order: int)

Bases: symfem.finite_element.CiarletElement

Bernardi-Raugel Hdiv 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 = ['Bernardi-Raugel']
references = ['triangle', 'tetrahedron']
min_order = 1
max_order
continuity = 'L2'
value_type = 'vector'
last_updated = '2025.12'