an encyclopedia of finite element definitions

Transition

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Degrees\(1\leqslant k\)
Reference elementstriangle, tetrahedron
DOFsOn each vertex: point evaluations
On each edge: point evaluations
On each face: point evaluations
On each volume: point evaluations
Mappingidentity
continuityFunction values are continuous.
NotesThis element is used to bridge the gap between Lagrange elements of different degrees
CategoriesScalar-valued elements

Implementations

This element is implemented in Symfem .↓ Show implementation detail ↓

Examples

triangle
degree 1
edge_orders=[2, 1, 1]

(click to view basis functions)
triangle
degree 1
edge_orders=[3, 2, 1]

(click to view basis functions)
triangle
degree 3
edge_orders=[1, 1, 1]

(click to view basis functions)

DefElement stats

Element added12 July 2021
Element last updated27 September 2024