MULTIGRID METHOD FOR PERIODIC HETEROGENEOUS MEDIA .1. CONVERGENCE STUDIES FOR ONE-DIMENSIONAL CASE

被引：79

作者：

FISH, J ^{[1
]}

BELSKY, V ^{[1
]}

机构：

[1] RENSSELAER POLYTECH INST,SCI COMPUTAT RES CTR,TROY,NY 12180

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 1995年 / 126卷 / 1-2期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/0045-7825(95)00811-E

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A multi-grid method for a periodic heterogeneous medium in 1-D is presented. Based on the homogenization theory, special intergrid transfer operators have been developed to simulate a low frequency response of the differential equations with oscillatory coefficients. The proposed multi-grid method has been proved to have a fast rate of convergence governed by the ratio q/(4 - q), where 0 < q less than or equal to 1 depends on the microstructure. This estimate reveals that the rate of convergence increases as q --> 0, which corresponds to the increasing material heterogeneity. Numerical results have been found to be in good agreement with the theoretical estimate.

引用

页码：1 / 16

页数：16