an encyclopedia of finite element definitions

Bogner–Fox–Schmitt

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Orders\(k=3\)
Reference elementsquadrilateral
Polynomial set\(\mathcal{Q}_{k}\)
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DOFsOn each vertex: point evaluations,
point evaluations of derivatives in coordinate directions, and point evaluation of mixed second derivative
Number of DOFsquadrilateral: \(16\)
Mappingidentity
continuityFunction values and derivatives are continuous.
CategoriesScalar-valued elements

Implementations

Symfem"BFS"
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Examples

quadrilateral
order 3
(click to view basis functions)

References

DefElement stats

Element added06 March 2021
Element last updated02 August 2022