ABOUT THE CONDITIONING OF MATRICES IN THE P-VERSION OF THE FINITE-ELEMENT METHOD FOR 2ND-ORDER ELLIPTIC PROBLEMS

被引：4

作者：

MAITRE, JF ^{[1
]}

POURQUIER, O ^{[1
]}

机构：

[1] ECOLE CENT LYON,DEPT MATH,CNRS,URA 0740,EQUIPE ANALYSE NUMER LYON ST ETIENNE,F-69131 ECULLY,FRANCE

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1995年 / 63卷 / 1-3期

关键词：

FINITE ELEMENT METHOD; CONDITION NUMBER; DIAGONAL PRECONDITIONING;

D O I：

10.1016/0377-0427(95)00062-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the framework of adaptive methods, bases of hierarchical type are used in the p-version of the finite element method. We have studied the matrices corresponding to the most used basis, introduced by Babuska and Szabo, in the case of d-dimensional rectangular elements. For the internal nodes, we show that the condition number is O(p(4(d-1))) (resp, O(p(4d))) for the stiffness (resp. mass) matrix. Moreover, we show that the usual diagonal preconditioning divides the exponents by two.

引用

页码：341 / 348

页数：8

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