ANALYSIS OF THE SUPERCONVERGENT PATCH RECOVERY TECHNIQUE AND A-POSTERIORI ERROR ESTIMATOR IN THE FINITE-ELEMENT METHOD .1.

Authors
ZHANG ZM ZHU JZ
Citation
Zm. Zhang et Jz. Zhu, ANALYSIS OF THE SUPERCONVERGENT PATCH RECOVERY TECHNIQUE AND A-POSTERIORI ERROR ESTIMATOR IN THE FINITE-ELEMENT METHOD .1., Computer methods in applied mechanics and engineering, 123(1-4), 1995, pp. 173-187
Citations number
28
Categorie Soggetti
Computer Application, Chemistry & Engineering",Mechanics,"Engineering, Mechanical","Computer Science Interdisciplinary Applications
Journal title
Computer methods in applied mechanics and engineering → ACNP
ISSN journal
00457825
Volume
123
Issue
1-4
Year of publication
1995
Pages
173 - 187
Database
ISI
SICI code
0045-7825(1995)123:1-4<173:AOTSPR>2.0.ZU;2-R
Abstract
This is the first in a series of two papers in which the patch recover y technique proposed by Zienkiewicz and Zhu is analyzed. In this work it is proved that the recovered derivative by the least-squares fittin g is superconvergent for the two-point boundary value problems. Furthe r, the a posteriori error estimator based on the recovery technique is shown to be asymptotically exact. This confirms the computational res ults obtained in [1, 2].