2-LEVEL DOMAIN DECOMPOSITION PRECONDITIONING FOR THE P-VERSION FINITE-ELEMENT METHOD IN 3 DIMENSIONS

被引：59

作者：

MANDEL, J

机构：

[1] Computational Mathematics Group, University of Colorado at Denver, Denver, Colorado, 80204

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | 1990年 / 29卷 / 05期

关键词：

D O I：

10.1002/nme.1620290513

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper presents a flexible approach to domain decomposition preconditioning for problems expressed in terms of local stiffness matrices of subdomains. Evaluation of the preconditioner requires fully parallelizable local computations and the solution of a global auxiliary problem with few variables per subdomain. Convergence factors can be bounded using properties of the local stiffness matrices only. The method is applied to the p‐version finite element method for three‐dimensional elasticity. We treat each element as a subdomain and compute explicit convergence bounds. Copyright © 1990 John Wiley & Sons, Ltd

引用

页码：1095 / 1108

页数：14

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