symfem.elements.regge¶

Regge elements on simplices.

This element’s definition appears in https://doi.org/10.1007/BF02733251 (Regge, 1961), https://doi.org/10.1007/s00211-011-0394-z (Christiansen, 2011), and http://aurora.asc.tuwien.ac.at/~mneunteu/thesis/doctorthesis_neunteufel.pdf (Neunteufel, 2021)

Classes¶

`Regge`	A Regge element on a simplex.
`ReggeTP`	A Regge element on a tensor product cell.

Module Contents¶

class symfem.elements.regge.Regge(reference: symfem.references.Reference, order: int, variant: str = 'point')¶

Bases: symfem.finite_element.CiarletElement

A Regge element on a simplex.

variant = 'point'¶

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 = ['Regge']¶

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

min_order = 0¶

continuity = 'inner H(curl)'¶

value_type = 'symmetric matrix'¶

last_updated = '2025.12'¶

class symfem.elements.regge.ReggeTP(reference: symfem.references.Reference, order: int, variant: str = 'integral')¶