symfem.elements.hermite

Hermite elements on simplices.

This element’s definition appears in https://doi.org/10.1016/0045-7825(72)90006-0 (Ciarlet, Raviart, 1972)

Classes

Hermite

Hermite finite element.

Module Contents

class symfem.elements.hermite.Hermite(reference: symfem.references.Reference, order: int)

Bases: symfem.finite_element.CiarletElement

Hermite 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 = ['Hermite']

references = ['interval', 'triangle', 'tetrahedron']

min_order = 3

max_order = 3

continuity = 'C1'

value_type = 'scalar'

last_updated = '2025.12'