Anisotropic regularity and optimal rates of convergence for the Finite Element Method on three dimensional polyhedral domains

Constantin Bacuta, Anna L. Mazzucato, Victor Nistor

We consider the model Poisson problem $-\Delta u=f\in \Omega$, $u=g$ on $\pa Ω$, where $\Omega$ is a bounded polyhedral domain in $\RR^n$. The objective of the paper is twofold. The first ob…