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Optimal error estimates for FEM approximationsof dynamic nonlinear shallow shells

Published online by Cambridge University Press:  15 April 2002

Irena Lasiecka  and
Rich Marchand
Irena Lasiecka
Affiliation:
Department of Mathematics, University of Virginia, Charlottesville, VA 22903, USA.
Rich Marchand
Affiliation:
Department of Mathematics Sciences, United States Military Academy, West Point, NY 10996, USA.
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Abstract

Finite element semidiscrete approximations on nonlinear dynamicshallow shell models in considered. It is shown that the algorithmleads to global, optimal rates of convergence. The resultpresented in the paper improves upon the existing literature where therates of convergence were derived for small initial data only[19].

Keywords

Finite elementsnonlinear dynamic shellsoptimal error estimatesglobal existence and uniqueness.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 34 , Issue 1 , January 2000 , pp. 63 - 84
Copyright
© EDP Sciences, SMAI, 2000

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