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Ordersinterval: \(2\leqslant k\)
triangle: \(3\leqslant k\)
tetrahedron: \(4\leqslant k\)
Reference elementsinterval, triangle, tetrahedron
Polynomial set\(\mathcal{Z}^{(39)}_{k}\)
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DOFsOn the interior of the reference element: point evaluations
Number of DOFsinterval: \(k-1\) (A000027)
triangle: \((k-2)(k-1)/2\) (A000217)
tetrahedron: \((k-3)(k-2)(k-1)/6\) (A000292)
Mappingidentity
continuityFunction values are continuous.
CategoriesScalar-valued elements

Implementations

Basixbasix.ElementFamily.bubble
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Symfem"bubble"
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UFL"Bubble"
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Examples

interval
order 2

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interval
order 3

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triangle
order 3

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triangle
order 4

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References

DefElement stats

Element added10 January 2021
Element last updated02 August 2022