Error Estimates for Finite-Element Solutions of Elliptic Boundary Value Problems in Non-Smooth Domains

Abstract

Error estimates in different norms (namely in $W^{m,2}(\Omega )$ and $L^p(\Omega ),2\le p\le \infty$) of standard finite element solutions of elliptic boundary value problems in bounded domains in ${\mathbb{R}}^N$ with conical points or non-intersecting edges are considered.