an encyclopedia of finite element definitions

Dual polynomial

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Abbreviated namesdual
Orders\(0\leqslant k\leqslant 1\)
Reference elementsdual polygon
Number of DOFsdual polygon(n): \(\begin{cases}1&k=0\\n&k=1\end{cases}\)
Mappingidentity
continuityDiscontinuous. (\(n=0\))
Function values are continuous. (\(n=1\))
NotesThese elements are defined on the barycentric dual grid.
These elements are defined as a linear combination of Lagrange basis functions on the fine grid.
CategoriesScalar-valued elements

Implementations

Bempp"DUAL"
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Symfem"dual"
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Examples

dual polygon(6)
order 0
(click to view basis functions)
dual polygon(4)
order 1
(click to view basis functions)
dual polygon(5)
order 1
(click to view basis functions)
dual polygon(6)
order 1
(click to view basis functions)

References

DefElement stats

Element added24 January 2021
Element last updated02 August 2022