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Crouzeix–Raviart

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Alternative namesnon-conforming Crouzeix–Raviart
Abbreviated namesCR
Degrees\(k=1\)
where \(k\) is the Polynomial superdegree
Polynomial subdegree\(k\)
Polynomial superdegree\(k\)
Reference elementstriangle, tetrahedron
Polynomial set\(\mathcal{P}_{k}\)
↓ Show polynomial set definitions ↓
DOFsOn each facet: point evaluation at midpoint
Number of DOFstriangle: \(3\)
tetrahedron: \(4\)
Mappingidentity
continuityDiscontinuous.
CategoriesScalar-valued elements

Implementations

This element is implemented in Basix , Basix.UFL , FIAT , Symfem , and (legacy) UFL.↓ Show implementation detail ↓

Examples

triangle
degree 1

(click to view basis functions)

References

DefElement stats

Element added01 January 2021
Element last updated27 September 2024