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

Authors
BABUSKA I STROUBOULIS T UPADHYAY CS GANGARAJ SK
Citation
I. Babuska et al., A-POSTERIORI ESTIMATION AND ADAPTIVE-CONTROL OF THE POLLUTION ERROR IN THE H-VERSION OF THE FINITE-ELEMENT METHOD, International journal for numerical methods in engineering, 38(24), 1995, pp. 4207-4235
Citations number
39
Categorie Soggetti
Computer Application, Chemistry & Engineering",Engineering,Mathematics
Journal title
International journal for numerical methods in engineering → ACNP
ISSN journal
00295981
Volume
38
Issue
24
Year of publication
1995
Pages
4207 - 4235
Database
ISI
SICI code
0029-5981(1995)38:24<4207:AEAAOT>2.0.ZU;2-B
Abstract
In References 1 and 2 we showed that the error in the finite-element s olution 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 loca l post-processing. Here we show that it is possible to construct a pos teriori estimates of the pollution error in any patch of elements by e mploying the local error-indicators over the mesh outside the patch. W e also give an algorithm for the adaptive control of the pollution err or in any patch of elements of interest.