Optimal error estimates for FEM approximations of dynamic nonlinear shallow shells

Authors

Irena Lasiecka, University of Virginia
Rich Marchand, United States Military Academy at West Point

Abstract

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

Publication Title

Mathematical Modelling and Numerical Analysis

Recommended Citation

Lasiecka, I., & Marchand, R. (2000). Optimal error estimates for FEM approximations of dynamic nonlinear shallow shells. Mathematical Modelling and Numerical Analysis, 34 (1), 63-84. https://doi.org/10.1051/m2an:2000131