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Bubble enriched Lagrange

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Orders\(1\leqslant k\leqslant 2\)
Reference elementstriangle
Polynomial set\(\mathcal{P}_{k} \oplus \mathcal{Z}^{(24)}_{k+2}\)
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DOFsOn each vertex: point evaluations
On each edge: point evaluations
On each face: point evaluations
Number of DOFstriangle: \((k+1)^2\) (A000290)
Mappingidentity
continuityFunction values are continuous.
CategoriesScalar-valued elements

Implementations

Symfem"bubble enriched Lagrange"
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Examples

triangle
order 1

(click to view basis functions)
triangle
order 2

(click to view basis functions)

DefElement stats

Element added02 March 2021
Element last updated02 August 2022