an encyclopedia of finite element definitions

Bubble enriched Lagrange

 Orders $$1\leqslant k\leqslant 2$$ Reference elements triangle Polynomial set $$\mathcal{P}_{k} \oplus \mathcal{Z}^{(24)}_{k+2}$$↓ Show polynomial set definitions ↓ DOFs On each vertex: point evaluations On each edge: point evaluations On each face: point evaluations Number of DOFs triangle: $$(k+1)^2$$ (A000290) Mapping identity continuity Function values are continuous. Categories Scalar-valued elements

Implementations

 Symfem "bubble enriched 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