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Hermite

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Orders\(k=3\)
Reference elementsinterval, triangle, tetrahedron
Polynomial set\(\mathcal{P}_{k}\)
↓ Show polynomial set definitions ↓
DOFsOn each vertex: point evaluations, and point evaluations of derivatives in coordinate directions
On each face: point evaluations at midpoints
Number of DOFsinterval: \(4\)
triangle: \(10\)
tetrahedron: \(20\)
Mappingidentity
continuityFunction values and derivatives are continuous.
CategoriesScalar-valued elements

Implementations

Symfem"Hermite"
↓ Show Symfem examples ↓
UFL"Hermite"
↓ Show UFL examples ↓

Examples

interval
order 3

(click to view basis functions)
triangle
order 3

(click to view basis functions)
tetrahedron
order 3

(click to view basis functions)

References

DefElement stats

Element added09 January 2021
Element last updated02 August 2022