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Conforming Crouzeix–Raviart

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Abbreviated namesconforming CR
Orders\(1\leqslant k\)
Reference elementstriangle
Polynomial set\(\mathcal{P}_{k} \oplus \mathcal{Z}^{(52)}_{k}\)
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DOFsOn each vertex: points evaluation
On each edge: point evaluations
On each face: point evaluations
Number of DOFstriangle: \(k(k+5)/2\)
Mappingidentity
continuityDiscontinuous.
CategoriesScalar-valued elements

Implementations

Symfem"conforming Crouzeix-Raviart"
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Examples

triangle
order 1

(click to view basis functions)
triangle
order 2

(click to view basis functions)
triangle
order 3

(click to view basis functions)
triangle
order 4

(click to view basis functions)
triangle
order 5

(click to view basis functions)

References

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Element added04 July 2021
Element last updated02 August 2022