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Abbreviated names | BR |
Orders | \(k=1\) |
Reference elements | triangle, tetrahedron |
DOFs | On each edge: (if \(k>1\)) point evaluations in tangential directions at midpoints On each facet: point evaluations in normal directions at vertices, normal integral moments with an order \(k-1\) Lagrange space, and (if \(k>1\)) point evaluations in normal directions at midpoints of edges On the interior of the reference element: , and point evaluations at the midpoint |
Number of DOFs | triangle: \(11\) tetrahedron: \(\begin{cases}19&k=1\\49&k=2\end{cases}\) |
Mapping | contravariant Piola |
continuity | Components normal to facets are continuous |
Notes | This element is a modification of the Bernardi–Raugel element with the facet bubbles modified to be divergence free. |
Categories | Vector-valued elements, H(div) conforming elements, Macro elements |
Symfem | "Guzman-Neilan" ↓ Show Symfem examples ↓ |
triangle order 1 | ![]() (click to view basis functions) |
tetrahedron order 1 | ![]() (click to view basis functions) |
tetrahedron order 2 | ![]() (click to view basis functions) |
Element added | 01 August 2021 |
Element last updated | 09 December 2022 |