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Rannacher–Turek

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Orders\(k=1\)
Reference elementsquadrilateral, hexahedron
Polynomial set\(\mathcal{P}_{k} \oplus \mathcal{Z}^{(10)}_{k}\) (quadrilateral)
\(\mathcal{P}_{k} \oplus \mathcal{Z}^{(11)}_{k}\) (hexahedron)
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DOFsOn each facet: point evaluation at midpoint
Number of DOFsquadrilateral: \(4\)
hexahedron: \(6\)
Mappingidentity
continuityDiscontinuous.
CategoriesScalar-valued elements

Implementations

Symfem"Rannacher-Turek"
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Examples

quadrilateral
order 1

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References

DefElement stats

Element added06 May 2022
Element last updated02 August 2022