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Enriched vector Galerkin
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| Alternative names | locking-free enriched Galerkin |
| Abbreviated names | LFEG |
| Orders | \(1\leqslant k\) |
| Reference elements | triangle, tetrahedron, quadrilateral, hexahedron |
| Number of DOFs | triangle: \((k+1)(k+2) + 1\) tetrahedron: \((k+1)(k+2)(k+3)/2 + 1\) quadrilateral: \(2(k+1)^2 + 1\) hexahedron: \(3(k+1)^3 + 1\) |
| continuity | Discontinuous. |
| Notes | This is a continuous vector Lagrange element enriched with a single discontinuous function. |
| Categories | Vector-valued elements |
Implementations
"LFEG"↓ Show Symfem examples ↓ This implementation is used to compute the examples below and verify other implementations. |
Examples
| 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) |
References
- Yi, Son-Young, Hu, Xiaozhe, Lee, Sanghyun, and Adler, James H. An enriched Galerkin method for the Stokes equations, Computers & Mathematics with Applications 120, 115–131, 2022. [DOI: 10.1016/j.camwa.2022.06.018] [BibTeX]
DefElement stats
| Element added | 07 March 2023 |
| Element last updated | 16 September 2023 |