an encyclopedia of finite element definitions

# Argyris

 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: point evaluations of normal derivatives at midpoints Number of DOFs triangle: $$21$$ Mapping identity continuity Function values and first and second derivatives are continuous. Categories Scalar-valued elements

## Implementations

 Symfem "Argyris"↓ Show Symfem examples ↓ UFL "Argyris"↓ Show UFL examples ↓

## Examples

 triangleorder 5 (click to view basis functions)

## References

• Argyris, John H., Fried, Isaac, and Scharpf, Dieter W. The TUBA Family of Plate Elements for the Matrix Displacement Method, The Aeronautical Journal 72(692), 701–709, 1968. [DOI: 10.1017/S000192400008489X] [BibTeX]

## DefElement stats

 Element added 09 January 2021 Element last updated 02 August 2022