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Degrees\(k=5\)
where \(k\) is the Lagrange superdegree
Polynomial subdegree\(k-1\)
Polynomial superdegree\(k\)
Lagrange subdegree\(k-1\)
Lagrange superdegree\(k\)
Reference elementstriangle
Polynomial set\(\mathcal{Z}^{(4)}_{k}\)
↓ Show polynomial set definitions ↓
DOFsOn each vertex: point evaluations,
point evaluations of first derivatives, and point evaluations of second derivatives
Number of DOFstriangle: \(18\)
Mappingidentity
continuityFunction values and first and second derivatives are continuous.
CategoriesScalar-valued elements

Implementations

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

Examples

triangle
degree 5

(click to view basis functions)

References

DefElement stats

Element added20 February 2021
Element last updated27 September 2024