解Stokes问题的区域分解算法

对用非协调混合元离散的Ｓｔｏｋｅｓ问题，建立了延拓定理并分析了一个两子域不重叠区域分解算法，利用已有的对二阶椭圆型问题有效的预处理器，借助Ｂｒａｍｂｌｅ ＪＨ等的思想，将原鞍点问题变为一个在适当内积意义下的对称正定问题，并估计了它的条件数。

DOMAIN DECOMPOSITION METHODS FOR STOKES PROBLEM

For the Stokes problem discretized by the nonconforming mixed finite elements,the extension theorem is established and therefore a domain decomposition algorithm with twononoverlap subdomains is presented and analysed. By using the idea of Bramble J H and theexisting efficient preconditioners for second order elliptic problems. the saddle point problemcan be transformed into the symmetric positive definite problem in some proper inner productsense, whose condition number is estimated also.