A Non-Overlapping Domain Decomposition Method for the Advection-Diffusion Problem

摘要

The application ofa non-overlapping domain decomposition method tothe solution of a stabilized finite element method for elliptic boundary value problems is considered. We derive an a-posteriori error estimate which bounds the error on the subdomains by the interface error of the subdomain solutions. As a by-product, some foundation is given to the design of the interface transmission condition. Numerical resuits support the theoretical results. Furthermore, we abapt a recent result on the discrete subdomain solutions.