ANALYSIS OF THE SUPERCONVERGENT PATCH RECOVERY TECHNIQUE AND A-POSTERIORI ERROR ESTIMATOR IN THE FINITE-ELEMENT METHOD .1.

被引：44

作者：

ZHANG, ZM ^{[1
]}

ZHU, JZ ^{[1
]}

机构：

[1] UES INC,ANNAPOLIS,MD 21401

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 1995年 / 123卷 / 1-4期

关键词：

D O I：

10.1016/0045-7825(95)00780-5

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This is the first in a series of two papers in which the patch recovery technique proposed by Zienkiewicz and Zhu is analyzed. In this work it is proved that the recovered derivative by the least-squares fitting is superconvergent for the two-point boundary value problems. Further, the a posteriori error estimator based on the recovery technique is shown to be asymptotically exact. This confirms the computational results obtained in [1, 2].

引用

页码：173 / 187

页数：15

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