  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, $1\leq p\leq\infty$, and shows new
estimates for anisotropic prisms with triangular base.
