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Optimal error estimates for FEM approximations of dynamic nonlinear shallow shells

Irena Lasiecka; Rich Marchand — 2000

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

Optimal error estimates for FEM approximations of dynamic nonlinear shallow shells

Irena Lasiecka; Rich Marchand — 2010

ESAIM: Mathematical Modelling and Numerical Analysis

Finite element semidiscrete approximations on nonlinear dynamic shallow shell models in considered. It is shown that the algorithm leads to rates of convergence. The result presented in the paper improves upon the existing literature where the rates of convergence were derived for initial data only [19].

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