摘要
求解一般椭圆型方程的可加型多层网格Ｓｃｈｗａｒｚ方法储德林，胡显承（清华大学应用数学系，北京１０００８４）ＡＮＡＤＤＩＴＩＶＥＭＵＬＴＩＬＥＶＥＬＳＣＨＷＡＲＺＭＥＴＨＯＤＦＯＲＧＥＮＥＲＡＬＥＬＬＩＰＴＩＣＰＲＯＢＬＥＭＳ￥ＣＨＵＤＥＬＩＮ；ＨＵＸ...
In this paper, we present an additive mullevel Schwarz method for second order elliptic problems in two dimensions, which shows great promise for parallel computers. An alternative linear system, which has the same solution as the finite element equation, is derived.For symmetric, positive elliptic problems, the alternative linear system is solved by using conjugate gradient algorithm with a quite rapid convergent rate. For nonsymmetric or indefinite elliptic problmes, the alternative linear system is solved by using GMRES. and we show that the convergent rate is independent of the number of degrees of freedom and the number of local problems if the subdomains are fine enough. The performance of the our method is illustrated by results of several numerical experiments.
出处
《应用数学学报》
CSCD
北大核心
1994年第3期334-346,共13页
Acta Mathematicae Applicatae Sinica
