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Brezzi--Douglas--Marini interpolation on anisotropic simplices and prisms (2205.04734v1)
Published 10 May 2022 in math.NA and cs.NA
Abstract: The Brezzi--Douglas--Marini interpolation error on anisotropic elements has been analyzed in two recent publications, the first focusing on simplices with estimates in $L2$, the other considering parallelotopes with estimates in terms of $Lp$-norms. This contribution provides generalized estimates for anisotropic simplices for the $Lp$ case, $1\leq p\leq\infty$, and shows new estimates for anisotropic prisms with triangular base.