an encyclopedia of finite element definitions

Crouzeix–Raviart

Click here to read what the information on this page means.

Alternative namesnon-conforming Crouzeix–Raviart
Abbreviated namesCR
Degreesk=1
where k is the Polynomial superdegree
Polynomial subdegreek
Polynomial superdegreek
Reference elementstriangle, tetrahedron
Polynomial setPk
↓ 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