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Orders | \(0\leqslant k\) |
Reference elements | triangle, tetrahedron |
Polynomial set | \(\mathcal{P}_{k}^d\) ↓ 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 On each volume: point evaluations in coordinate directions |
Number of DOFs | triangle: \((k+1)(k+2)\) (A002378) tetrahedron: \((k+1)(k+2)(k+3)/2\) (A027480) |
Mapping | identity |
continuity | Function values are continuous. |
Categories | Vector-valued elements |
Symfem | "vector Lagrange" ↓ Show Symfem examples ↓ |
UFL | "Lagrange" ↓ Show UFL examples ↓ |
triangle order 1 | ![]() (click to view basis functions) |
triangle order 2 | ![]() (click to view basis functions) |
tetrahedron order 1 | ![]() (click to view basis functions) |
tetrahedron order 2 | ![]() (click to view basis functions) |
Element added | 30 December 2020 |
Element last updated | 02 August 2022 |