an encyclopedia of finite element definitions

# Vector bubble enriched Lagrange

 Orders $$1\leqslant k\leqslant 2$$ Reference elements triangle Polynomial set $$\mathcal{P}_{k}^d \oplus \left(\mathcal{Z}^{(24)}_{k+2}\right)^d$$↓ Show polynomial set definitions ↓ DOFs On 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 DOFs triangle: $$2(k+1)^2$$ (A001105) Mapping identity continuity Function values are continuous. Categories Vector-valued elements

## Implementations

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

## Examples

 triangleorder 1 (click to view basis functions) triangleorder 2 (click to view basis functions)

## DefElement stats

 Element added 02 March 2021 Element last updated 02 August 2022