代数多重网格法与多水平不完全LU分解法

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代数多重网格法与多水平不完全LU分解法

更新时间：2026-09-14

- 代数多重网格法与多水平不完全LU分解法
- 代数多重网格法与多水平不完全LU分解法
- Issue 6, (2004)
- 作者机构：
  
  太原理工大学理学院
- 作者简介：
- 基金信息：
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- Published：2004
- 稿件说明：
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史培林. 代数多重网格法与多水平不完全LU分解法[J]. 2004, (6).
DOI：

史培林. 代数多重网格法与多水平不完全LU分解法[J]. 2004, (6). DOI：

摘要

　介绍代数多重网格(AlgebraicMulti-Grid

AMG)法和多水平不完全LU分解(Multi-eliminationIncompleteLUPreconditioner

ILUM)法的基本算法

分析二者的关系.给出了用ILUM方法思想建立的代数多重网格方法的理论特征

证明了此类AMG算法的两网格收敛性

说明了此类算法和基本算法一样也不一定具有与层数无关的收敛性.

Abstract

The algebraic multigrid (AMG) method and multi-elimination LU preconditioner (ILUM) method are introduced and their relationships are analysed. The theoretical characteristics of the AMG based on ILUM are given. The two-grid convergence of this kind AMG is proved

similar to the fundamental algorithm. The convergence independent of the number of grids can not be obtained for this kind AMG methods.

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