ERROR ANALYSIS ON BI-PARAMETER FINITE-ELEMENTS

Authors
ZHOU AH LIEM CB SHIH TM LU L
Citation
Ah. Zhou et al., ERROR ANALYSIS ON BI-PARAMETER FINITE-ELEMENTS, Computer methods in applied mechanics and engineering, 158(3-4), 1998, pp. 329-339
Citations number
16
Categorie Soggetti
Computer Science Interdisciplinary Applications",Mechanics,"Engineering, Mechanical","Computer Science Interdisciplinary Applications
Journal title
Computer methods in applied mechanics and engineering → ACNP
ISSN journal
00457825
Volume
158
Issue
3-4
Year of publication
1998
Pages
329 - 339
Database
ISI
SICI code
0045-7825(1998)158:3-4<329:EAOBF>2.0.ZU;2-2
Abstract
A bi-parameter finite element is introduced in this paper, in which a new local grid refinement technique is presented for a class of second -order elliptic equations. The new approach is based on a bi-parameter finite element space defined, respectively, on the whole domain with size H and on a subdomain with size h(h << H). The stability and conve rgence analysis of the bi-parameter finite element approximation is st udied. The behavior of approximation with respect to the parameters H and h is presented. In particular, the error estimates for the finite element Green's function expressed by H and h are derived. (C) 1998 El sevier Science S.A.