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global existence and uniqueness.

ESAIM: Mathematical Modelling and Numerical Analysis (1)

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Optimal error estimates for FEM approximationsof dynamic nonlinear shallow shells
Irena Lasiecka, Rich Marchand
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 34 / Issue 1 / January 2000

Published online by Cambridge University Press:

15 April 2002, pp. 63-84

Print publication:

January 2000
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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].