Optimal error estimates for FEM approximations of dynamic nonlinear shallow shells
Department of Mathematics,
University of Virginia, Charlottesville, VA 22903, USA.
2 Department of Mathematics Sciences, United States Military Academy, West Point, NY 10996, USA.
Revised: 3 May 1999
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 .
Mathematics Subject Classification: 65 / 35
Key words: Finite elements / nonlinear dynamic shells / optimal error estimates / global existence and uniqueness.
© EDP Sciences, SMAI, 2000