symfem.elements.nedelec¶

Nedelec elements on simplices.

These elements’ definitions appear in https://doi.org/10.1007/BF01396415 (Nedelec, 1980) and https://doi.org/10.1007/BF01389668 (Nedelec, 1986)

Classes¶

`NedelecFirstKind`	Nedelec first kind Hcurl finite element.
`NedelecSecondKind`	Nedelec second kind Hcurl finite element.

Module Contents¶

class symfem.elements.nedelec.NedelecFirstKind(reference: symfem.references.Reference, order: int, variant: str = 'equispaced')¶

Bases: symfem.finite_element.CiarletElement

Nedelec first kind Hcurl 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 = ['Nedelec', 'Nedelec1', 'N1curl']¶

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

min_order = 0¶

continuity = 'H(curl)'¶

value_type = 'vector'¶

last_updated = '2025.12'¶

class symfem.elements.nedelec.NedelecSecondKind(reference: symfem.references.Reference, order: int, variant: str = 'equispaced')¶