an encyclopedia of finite element definitions

Fortin–Soulie

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Abbreviated namesFS
Orders\(k=2\)
Reference elementstriangle
Polynomial set\(\mathcal{P}_{k}\)
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DOFsOn 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 DOFstriangle: \(6\)
Mappingidentity
continuityDiscontinuous.
CategoriesScalar-valued elements

Implementations

Symfem"Fortin-Soulie"
↓ Show Symfem examples ↓

Examples

triangle
order 2
(click to view basis functions)

References

DefElement stats

Element added06 March 2021
Element last updated02 August 2022