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Morley–Wang–Xu

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Orders\(1\leqslant k\leqslant {'interval': 1, 'triangle': 2, 'tetrahedron': 3}\)
Reference elementsinterval, triangle, tetrahedron
Polynomial set\(\mathcal{P}_{k}\)
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DOFsOn each vertex: point evaluations
On each edge: integrals of normal derivatives
On each face: integrals of normal derivatives
On each volume: integrals of normal derivatives
Number of DOFsinterval: \(k+1\) (A000027)
triangle: \((k+1)(k+2)/2\) (A000217)
tetrahedron: \((k+1)(k+2)(k+3)/6\) (A000292)
Mappingidentity
CategoriesScalar-valued elements

Implementations

Symfem"MWX"
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Examples

interval
order 1
(click to view basis functions)
triangle
order 1
(click to view basis functions)
triangle
order 2
(click to view basis functions)
tetrahedron
order 1
(click to view basis functions)
tetrahedron
order 2
(click to view basis functions)
tetrahedron
order 3
(click to view basis functions)

References

DefElement stats

Element added08 June 2021
Element last updated02 August 2022