an encyclopedia of finite element definitions

# Bell

 Orders $$k=5$$ Reference elements triangle Polynomial set $$\mathcal{P}_{k}$$↓ Show polynomial set definitions ↓ DOFs On each vertex: point evaluations,point evaluations of derivatives in coordinate directions, and point evaluations of components of Jacobian On each edge: integral moments of normal derivatives with an order $$0$$ Lagrange space Number of DOFs triangle: $$21$$ Mapping identity continuity Function values and first and second derivatives are continuous. Categories Scalar-valued elements

## Implementations

 Symfem "Bell"↓ Show Symfem examples ↓ UFL "Bell"↓ Show UFL examples ↓

## Examples

 triangleorder 5 (click to view basis functions)

## References

• Bell, Kolbein. A refined triangular plate bending finite element, International Journal for Numerical Methods in Engineering 1(1), 101–122, 1969. [DOI: 10.1002/nme.1620010108] [BibTeX]

## DefElement stats

 Element added 20 February 2021 Element last updated 02 August 2022