LIONS FORMWORK FOR SCHWARS ALGORITHM AND THE CONVERGENCE FOR THE ASYNCHRONOUS PARALLEL ALGORITHM
Schwarz 算法的 Lions 框架与异步并行算法的收敛性证明

In this paper,we consider the Schwarz algorithm for the Dirichlet problem of the secondorder linear elliptic equation.The convergence of the Schwars algorithm with m overlappingsubbdomains is shown by using the Lions formwork and the Von Neumann theorem.Moreover,we give a convergence proof for an asynchronous parallel algorithm advanced by Kang Li-Shan.