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Vector Lagrange

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Orders\(0\leqslant k\)
Reference elementstriangle, tetrahedron
Polynomial set\(\mathcal{P}_{k}^d\)
↓ 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
On each volume: point evaluations in coordinate directions
Number of DOFstriangle: \((k+1)(k+2)\) (A002378)
tetrahedron: \((k+1)(k+2)(k+3)/2\) (A027480)
Mappingidentity
continuityFunction values are continuous.
CategoriesVector-valued elements

Implementations

Symfem"vector Lagrange"
↓ Show Symfem examples ↓
UFL"Lagrange"
↓ Show UFL examples ↓

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)

DefElement stats

Element added30 December 2020
Element last updated02 August 2022