A MODEL STUDY OF THE QUALITY OF A-POSTERIORI ERROR ESTIMATORS FOR LINEAR ELLIPTIC PROBLEMS - ERROR ESTIMATION IN THE INTERIOR OF PATCHWISE UNIFORM GRIDS OF TRIANGLES

被引：110
作者：
BABUSKA, I
STROUBOULIS, T
UPADHYAY, CS
机构：
[1] UNIV MARYLAND,DEPT MATH,COLLEGE PK,MD 20742
[2] UNIV MARYLAND,INST PHYS SCI & TECHNOL,COLLEGE PK,MD 20742
[3] TEXAS A&M UNIV,DEPT AEROSP ENGN,COLLEGE STN,TX 77843
来源：
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 1994年 / 114卷 / 3-4期
基金：
美国国家科学基金会;
关键词：
D O I：
10.1016/0045-7825(94)90177-5
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This paper is the first in a series in which we discuss computational methodologies for checking the quality of a posteriori error estimators for finite element approximations of linear elliptic problems. In this first part we study the asymptotic properties of error estimators in the interior of patchwise uniform grids of triangles. A completely numerical methodology for the analysis of the quality of estimators is presented. Results from the application of the methodology to the study of the quality of several well-known error estimators are reported. In subsequent papers we shall discuss methods to study the properties of estimators for meshes of quadrilaterals, non-uniform grids, at boundaries, grid-interfaces and near-singular points.
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页码：307 / 378
页数：72
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