Optimal error estimates for FEM approximations of dynamic nonlinear shallow shells

Authors
Lasiecka, I Marchand, R
Citation
I. Lasiecka et R. Marchand, Optimal error estimates for FEM approximations of dynamic nonlinear shallow shells, ESAIM-M MOD, 34(1), 2000, pp. 63-84
Citations number
25
Categorie Soggetti
Mathematics
Journal title
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
ISSN journal
0764583X → ACNP
Volume
34
Issue
1
Year of publication
2000
Pages
63 - 84
Database
ISI
SICI code
0764-583X(200001/02)34:1<63:OEEFFA>2.0.ZU;2-3
Abstract
Finite element semidiscrete approximations on nonlinear dynamic shallow she ll models in considered. It is shown that the algorithm leads to global, op timal rates of convergence. The result presented in the paper improves upon the existing literature where the rates of convergence were derived for sm all initial data only [19]. Mathematics Subject Classification. 65, 35.