Brezzi–Douglas–Marini interpolation on anisotropic simplices and prisms

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 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.