An accelerated domain decomposition procedure based on Robin transmission conditions

被引：29

作者：

Douglas, J ^{[1
]}

Huang, CS ^{[1
]}

机构：

[1] PURDUE UNIV,DEPT MATH,W LAFAYETTE,IN 47907

来源：

BIT | 1997年 / 37卷 / 03期

关键词：

domain decomposition; elliptic boundary problem; Robin transmission condition; acceleration of convergence;

D O I：

10.1007/BF02510246

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

A domain decomposition procedure based on Robin transmission conditions applicable to elliptic boundary problems was first introduced by P. L. Lions and later discussed by a number of authors. In all of these discussions, the weighting of the flux and the trace of the solution were independent of the iterative step number. For some model problems we introduce a cycle of weights and prove that an acceleration of the convergence rate similar to that occurring for alternating-direction iteration using a cycle of pseudo-time steps results. In some discrete cases, the cycle length can be taken to be independent of the mesh spacing.

引用

页码：678 / 686

页数：9