抛物型方程的Schwarz交替法及其误差分析

Schwarz Alternating Method for Parabolic Equations and Error Analysis

考虑一般线性抛物型方程的 Schwarz交替法 ,就重叠子域的情形给出两种区域分解格式 。

Domain decomposition method for general linear parabolic equations is considered. We established some domain decomposition schemes for the case of two subdomains. For these schemes we demonstrate the convergence and stability and give error estimates.