The Brezzi–Douglas–Marini interpolation error on anisotropic elements has been analyzed in two recent publications, the first focusing on simplices with estimates in , the other considering parallelotopes with estimates in terms of -norms. This contribution provides generalized estimates for anisotropic simplices for the case, , and shows new estimates for anisotropic prisms with triangular base.
L’erreur d’interpolation de Brezzi–Douglas–Marini sur les éléments anisotropes a été analysée dans deux publications récentes, la première se concentrant sur les simplices avec des estimations dans , l’autre considérant les parallelotopes avec des estimations en termes de normes . Notre contribution fournit des estimations généralisées pour les simplexes anisotropes pour le cas , , et montre de nouvelles estimations pour les prismes anisotropes à base triangulaire.
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Volker Kempf 1
@article{CRMATH_2023__361_G1_437_0, author = {Volker Kempf}, title = {Brezzi{\textendash}Douglas{\textendash}Marini interpolation on anisotropic simplices and prisms}, journal = {Comptes Rendus. Math\'ematique}, pages = {437--443}, publisher = {Acad\'emie des sciences, Paris}, volume = {361}, year = {2023}, doi = {10.5802/crmath.424}, language = {en}, }
Volker Kempf. Brezzi–Douglas–Marini interpolation on anisotropic simplices and prisms. Comptes Rendus. Mathématique, Volume 361 (2023), pp. 437-443. doi : 10.5802/crmath.424. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.424/
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