an encyclopedia of finite element definitions

# Fortin–Soulie

 Abbreviated names FS Orders $$k=2$$ Reference elements triangle Polynomial set $$\mathcal{P}_{k}$$↓ Show polynomial set definitions ↓ DOFs On each facet: point evaluation at two points (but only one point on one of the edges) On the interior of the reference element: point evaluation at midpoint Number of DOFs triangle: $$6$$ Mapping identity continuity Discontinuous. Categories Scalar-valued elements

## Implementations

 Symfem "Fortin-Soulie"↓ Show Symfem examples ↓

## Examples

 triangleorder 2 (click to view basis functions)

## References

• Fortin, Michel and Soulie, M. A non‐conforming piecewise quadratic finite element on triangles, International Journal for Numerical Methods in Engineering 19, 505–520, 1983. [DOI: 10.1002/nme.1620190405] [BibTeX]

## DefElement stats

 Element added 06 March 2021 Element last updated 02 August 2022