A-POSTERIORI ERROR ESTIMATION FOR HIERARCHICAL-MODELS OF ELLIPTIC BOUNDARY-VALUE-PROBLEMS ON THIN DOMAINS

Authors
BABUSKA I SCHWAB C
Citation
I. Babuska et C. Schwab, A-POSTERIORI ERROR ESTIMATION FOR HIERARCHICAL-MODELS OF ELLIPTIC BOUNDARY-VALUE-PROBLEMS ON THIN DOMAINS, SIAM journal on numerical analysis, 33(1), 1996, pp. 221-246
Citations number
12
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on numerical analysis → ACNP
ISSN journal
00361429
Volume
33
Issue
1
Year of publication
1996
Pages
221 - 246
Database
ISI
SICI code
0036-1429(1996)33:1<221:AEEFHO>2.0.ZU;2-4
Abstract
The boundary value problem of heat conduction in a three-dimensional l aminated plate is approximated by a hierarchy of two-dimensional model s. Computable a posteriori indicators and estimators of the modeling e rror in various norms are derived and their local spectral and asympto tic exactness is proved Sharp estimates for their effectivity indices are also obtained.