Overlapping Non-matching Grids Mortar Element Methods for Elliptic Problems

Marcus Sarkis

Department of Computer Science University of Colorado Campus Box 430 Boulder, CO 80309-0430


Abstract

We introduce some mortar finite element methods for solving elliptic problems discretized on overlapping non-matching grids. We focus on the two-subdomain cases, and provide an error analysis for the discretization. Numerical examples are presented to support the theory. This is a joint work with Xiao-Chuan Cai, Maksymilian Dryja.