an encyclopedia of finite element definitions

Vector bubble enriched Lagrange

Click here to read what the information on this page means.

Orders\(1\leqslant k\leqslant 2\)
Reference elementstriangle
Polynomial set\(\mathcal{P}_{k}^d \oplus \left(\mathcal{Z}^{(24)}_{k+2}\right)^d\)
↓ Show polynomial set definitions ↓
DOFsOn each vertex: point evaluations in coordinate directions
On each edge: point evaluations in coordinate directions
On each face: point evaluations in coordinate directions
Number of DOFstriangle: \(2(k+1)^2\) (A001105)
Mappingidentity
continuityFunction values are continuous.
CategoriesVector-valued elements

Implementations

Symfem"bubble enriched vector Lagrange"
↓ Show Symfem examples ↓

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