Brezzi–Douglas–Marini interpolation on anisotropic simplices and prisms
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 f...
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| Format: | Article |
| Language: | English |
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Académie des sciences
2023-01-01
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| Series: | Comptes Rendus. Mathématique |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.424/ |
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| _version_ | 1825206270901092352 |
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| author | Kempf, Volker |
| author_facet | Kempf, Volker |
| author_sort | Kempf, Volker |
| collection | DOAJ |
| description | 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\le p\le \infty $, and shows new estimates for anisotropic prisms with triangular base. |
| format | Article |
| id | doaj-art-de109b52989547fe986838e9a8a11dfc |
| institution | Kabale University |
| issn | 1778-3569 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj-art-de109b52989547fe986838e9a8a11dfc2025-02-07T11:06:08ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692023-01-01361G143744310.5802/crmath.42410.5802/crmath.424Brezzi–Douglas–Marini interpolation on anisotropic simplices and prismsKempf, Volker0https://orcid.org/0000-0002-6251-5929Universität der Bundeswehr München, GermanyThe 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\le p\le \infty $, and shows new estimates for anisotropic prisms with triangular base.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.424/ |
| spellingShingle | Kempf, Volker Brezzi–Douglas–Marini interpolation on anisotropic simplices and prisms Comptes Rendus. Mathématique |
| title | Brezzi–Douglas–Marini interpolation on anisotropic simplices and prisms |
| title_full | Brezzi–Douglas–Marini interpolation on anisotropic simplices and prisms |
| title_fullStr | Brezzi–Douglas–Marini interpolation on anisotropic simplices and prisms |
| title_full_unstemmed | Brezzi–Douglas–Marini interpolation on anisotropic simplices and prisms |
| title_short | Brezzi–Douglas–Marini interpolation on anisotropic simplices and prisms |
| title_sort | brezzi douglas marini interpolation on anisotropic simplices and prisms |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.424/ |
| work_keys_str_mv | AT kempfvolker brezzidouglasmariniinterpolationonanisotropicsimplicesandprisms |