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Radau

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Orders\(1\leqslant k\)
Reference elementsinterval, quadrilateral, hexahedron
Polynomial set\(\mathcal{Q}_{k}\)
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DOFsOn each vertex: point evaluations
On each edge: point evaluations at Radau points
On each face: point evaluations at Radau points
On each volume: point evaluations at Radau points
Number of DOFsinterval: \(k+1\) (A000027)
quadrilateral: \((k+1)^2\) (A000290)
hexahedron: \((k+1)^3\) (A000578)
Mappingidentity
continuityFunction values are continuous.
CategoriesScalar-valued elements

Implementations

Symfem"Lagrange", variant="radau"
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Examples

interval
order 1
(click to view basis functions)
interval
order 2
(click to view basis functions)
quadrilateral
order 1
(click to view basis functions)
quadrilateral
order 2
(click to view basis functions)

DefElement stats

Element added20 February 2021
Element last updated02 August 2022