Brezzi--Douglas--Marini interpolation on anisotropic simplices and prisms
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910302955634688 |
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| author | Kempf, Volker |
| author_facet | Kempf, Volker |
| contents | The Brezzi--Douglas--Marini interpolation error on anisotropic elements has been analyzed in two recent publications, the first focusing on simplices with estimates in $L^2$, the other considering parallelotopes with estimates in terms of $L^p$-norms. This contribution provides generalized estimates for anisotropic simplices for the $L^p$ case, $1\leq p\leq\infty$, and shows new estimates for anisotropic prisms with triangular base. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_04734 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Brezzi--Douglas--Marini interpolation on anisotropic simplices and prisms Kempf, Volker Numerical Analysis 65D05, 65N30 The Brezzi--Douglas--Marini interpolation error on anisotropic elements has been analyzed in two recent publications, the first focusing on simplices with estimates in $L^2$, the other considering parallelotopes with estimates in terms of $L^p$-norms. This contribution provides generalized estimates for anisotropic simplices for the $L^p$ case, $1\leq p\leq\infty$, and shows new estimates for anisotropic prisms with triangular base. |
| title | Brezzi--Douglas--Marini interpolation on anisotropic simplices and prisms |
| topic | Numerical Analysis 65D05, 65N30 |
| url | https://arxiv.org/abs/2205.04734 |