A local Fortin projection for the Scott-Vogelius elements on general meshes
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arXiv
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| Hauptverfasser: | , , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915688053997568 |
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| author | Eickmann, Franziska Guzmán, Johnny Neilan, Michael Scott, L. Ridgway Tscherpel, Tabea |
| author_facet | Eickmann, Franziska Guzmán, Johnny Neilan, Michael Scott, L. Ridgway Tscherpel, Tabea |
| contents | We construct a local Fortin projection for the Scott-Vogelius finite element pair for polynomial degree $k \ge 4$ on general shape-regular triangulations in two dimensions. In particular, the triangulation may contain singular vertices. In addition to preserving the divergence in the dual of the pressure space, the projection preserves discrete boundary data and satisfies local stability estimates. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_18033 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A local Fortin projection for the Scott-Vogelius elements on general meshes Eickmann, Franziska Guzmán, Johnny Neilan, Michael Scott, L. Ridgway Tscherpel, Tabea Numerical Analysis 65N30, 65N12, 76D07 We construct a local Fortin projection for the Scott-Vogelius finite element pair for polynomial degree $k \ge 4$ on general shape-regular triangulations in two dimensions. In particular, the triangulation may contain singular vertices. In addition to preserving the divergence in the dual of the pressure space, the projection preserves discrete boundary data and satisfies local stability estimates. |
| title | A local Fortin projection for the Scott-Vogelius elements on general meshes |
| topic | Numerical Analysis 65N30, 65N12, 76D07 |
| url | https://arxiv.org/abs/2512.18033 |