We derive explicit a priori consistency error estimates for a standard finite element discretization of the Poisson equation on convex domains, where the domain is approximated by an internal convex polyhedron. The obtained explicit estimates depend only on global geometric parameters and are applicable to general convex domains and arbitrary families of simplicial meshes.

翻译：本文针对凸区域上的泊松方程标准有限元离散化，推导了显式先验一致性误差估计，其中区域由内部凸多面体近似。所获得的显式估计仅依赖于全局几何参数，适用于一般凸区域及任意族单纯形网格。