an encyclopedia of finite element definitions

Transition

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Orders\(1\leqslant k\)
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 orders
CategoriesScalar-valued elements

Implementations

Symfem"transition"
↓ Show Symfem examples ↓

Examples

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

DefElement stats

Element added12 July 2021
Element last updated02 August 2022