BASIC PROBLEMS OF A POSTERIORI ERROR ESTIMATION

被引：12

作者：

BABUSKA, I ^{[1
]}

PLANCK, L ^{[1
]}

RODRIGUEZ, R ^{[1
]}

机构：

[1] UNIV MARYLAND,DEPT MATH,COLL PK,MD 20742

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 1992年 / 101卷 / 1-3期

关键词：

D O I：

10.1016/0045-7825(92)90017-E

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper addresses basic questions regarding the reliability of a posteriori error estimation. It analyzes in detail an a posteriori estimator for linear elements on triangular meshes. It gives the bounds of the effectivity index depending on the geometry of the triangles and smoothness of the approximated solution. The theoretical results are in concordance with the results of our numerical experiments. The second part analyzes a one parametric family of estimators in the one-dimensional setting and their optimal selection for adaptively constructed meshes.

引用

页码：97 / 112

页数：16

共 31 条

[1]

Andreev AB., 1988, NUMER METH PART D E, V4, P15

[2] ERROR ESTIMATES FOR ADAPTIVE FINITE-ELEMENT COMPUTATIONS [J].