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Crouzeix–Raviart

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Alternative namesnon-conforming Crouzeix–Raviart
Abbreviated namesCR
Orders\(k=1\)
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

Basixbasix.ElementFamily.CR
↓ Show Basix examples ↓
Symfem"Crouzeix-Raviart"
↓ Show Symfem examples ↓
UFL"Crouzeix-Raviart"
↓ Show UFL examples ↓

Examples

triangle
order 1

(click to view basis functions)

References

DefElement stats

Element added01 January 2021
Element last updated02 August 2022