Brezzi–Douglas–Marini interpolation on anisotropic simplices and prisms

05/10/2022

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by   Volker Kempf, et al.

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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≤ p≤∞, and shows new estimates for anisotropic prisms with triangular base.