摘要
In this paper we consider domain decomposition methods with Lagrangian multipliers, which are applied to solving parabolic problems. We shall estimate condition numbers of the resulting interface matrices, and construct two kinds of simple preconditioners for the corresponding interface equations. It will be shown that the condition numbers of the resulting preconditioned interface matrices are almost optimal.
In this paper we consider domain decomposition methods with Lagrangian multipliers, which are applied to solving parabolic problems. We shall estimate condition numbers of the resulting interface matrices, and construct two kinds of simple preconditioners for the corresponding interface equations. It will be shown that the condition numbers of the resulting preconditioned interface matrices are almost optimal.
出处
《计算数学》
CSCD
北大核心
2000年第2期241-256,共16页
Mathematica Numerica Sinica
关键词
区域分解
非匹配网格
拉格朗日乘子
抛物问题
domain decomposition, nonmatching grids, Lagrangian multipliers, preconditioner, condition number
