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Abbreviated names | EG |
Orders | \(1\leqslant k\) |
Reference elements | interval, triangle, tetrahedron, quadrilateral, hexahedron, prism, pyramid |
Number of DOFs | interval: \(k+2\) (A000027) triangle: \((k+1)(k+2)/2 + 1\) tetrahedron: \((k+1)(k+2)(k+3)/6 + 1\) quadrilateral: \((k+1)^2 + 1\) hexahedron: \((k+1)^3 + 1\) prism: \((k+1)^2(k+2)/2 + 1\) pyramid: \((k+1)(k+2)(2k+3)/6 + 1\) |
Mapping | identity |
continuity | Discontinuous. |
Notes | This is a continuous Lagrange element enriched with a discontinuous piecewise constant element. |
Categories | Scalar-valued elements |
Symfem | "EG" ↓ Show Symfem examples ↓ This implementation is used to compute the examples below and verify other implementations. |
interval order 1 | ![]() (click to view basis functions) |
interval order 2 | ![]() (click to view basis functions) |
triangle order 1 | ![]() (click to view basis functions) |
triangle order 2 | ![]() (click to view basis functions) |
quadrilateral order 1 | ![]() (click to view basis functions) |
quadrilateral order 2 | ![]() (click to view basis functions) |
tetrahedron order 1 | ![]() (click to view basis functions) |
tetrahedron order 2 | ![]() (click to view basis functions) |
hexahedron order 1 | ![]() (click to view basis functions) |
hexahedron order 2 | ![]() (click to view basis functions) |
Element added | 05 March 2023 |
Element last updated | 16 September 2023 |