A-POSTERIORI ESTIMATION AND ADAPTIVE-CONTROL OF THE POLLUTION ERROR IN THE H-VERSION OF THE FINITE-ELEMENT METHOD

被引:81
作者
BABUSKA, I
STROUBOULIS, T
UPADHYAY, CS
GANGARAJ, SK
机构
[1] UNIV MARYLAND,INST PHYS SCI & TECHNOL,COLLEGE PK,MD 20742
[2] UNIV MARYLAND,DEPT MATH,COLLEGE PK,MD 20742
[3] TEXAS A&M UNIV,DEPT AEROSP ENGN,COLLEGE STN,TX 77843
关键词
FINITE-ELEMENT METHOD; A POSTERIORI ERROR ESTIMATION; POLLUTION ERROR;
D O I
10.1002/nme.1620382408
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In References 1 and 2 we showed that the error in the finite-element solution has two parts, the local error and the pollution error, and we studied the effect of the pollution error on the quality of the local error-indicators and the quality of the derivatives recovered by local post-processing. Here we show that it is possible to construct a posteriori estimates of the pollution error in any patch of elements by employing the local error-indicators over the mesh outside the patch. We also give an algorithm for the adaptive control of the pollution error in any patch of elements of interest.
引用
收藏
页码:4207 / 4235
页数:29
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