an encyclopedia of finite element definitions

Bell

Click here to read what the information on this page means.

Orders\(k=5\)
Reference elementstriangle
Polynomial set\(\mathcal{Z}^{(4)}_{k}\)
↓ Show polynomial set definitions ↓
DOFsOn each vertex: point evaluations,
point evaluations of derivatives in coordinate directions, and point evaluations of components of Jacobian
Number of DOFstriangle: \(18\)
Mappingidentity
continuityFunction values and first and second derivatives are continuous.
CategoriesScalar-valued elements

Implementations

Symfem"Bell"
↓ Show Symfem examples ↓ This implementation is used to compute the examples below and verify other implementations.
(legacy) UFL"Bell"
↓ Show (legacy) UFL examples ↓

Examples

triangle
order 5

(click to view basis functions)

References

DefElement stats

Element added20 February 2021
Element last updated15 December 2023