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Regge

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Orders\(1\leqslant k\)
Reference elementstriangle, tetrahedron
Polynomial set\(\mathcal{Z}^{(23)}_{k}\)
↓ Show polynomial set definitions ↓
DOFsOn each edge: point evaluations of inner products with direction of edge
On each face: point evaluations of inner products with direction of edges
On each volume: point evaluations of inner products with direction of edges
Number of DOFstriangle: \(3(k+1)(k+2)/2\) (A045943)
tetrahedron: \((k+1)(k+2)(k+3)\) (A007531)
Mappingdouble covariant Piola
continuityInner products with tangents to facets are continuous
CategoriesMatrix-valued elements

Implementations

Basixbasix.ElementFamily.Regge
↓ Show Basix examples ↓
Symfem"Regge"
↓ Show Symfem examples ↓
UFL"Regge"
↓ Show UFL examples ↓

Examples

triangle
order 1

(click to view basis functions)
triangle
order 2

(click to view basis functions)

References

DefElement stats

Element added01 January 2021
Element last updated02 August 2022