Finite element approximation of optimal control problems for the von Kármán equations
✍ Scribed by L. Steven Hou; James C. Turner
- Publisher
- John Wiley and Sons
- Year
- 1995
- Tongue
- English
- Weight
- 638 KB
- Volume
- 11
- Category
- Article
- ISSN
- 0749-159X
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
This article is concerned with optimal control problems for the von Kármán equations with distributed controls. We first show that optimal solution exist. We then show that Lagrange multipliers may be used to enforce the consstraints and derive an optimality system from which optimal states and controls may be deduced. Finally, we define finite element approximations of solutions for the optimality system and derive error estimate for the approximations. © 1995 John Wiley & Sons, Inc.
📜 SIMILAR VOLUMES
Asymptotic behavior of solutions to a fully nonlinear von Kármán system is considered. The existence of compact attractors in the presence of nonlinear boundary damping is established. It is also shown that in the case of linear boundary dissipation, this attractor is of finite Hausdorff dimension (
We consider a dynamical von Ka´rma´n system in the presence of thermal effects. Our model includes the possibility of a rotational inertia term in the system. We show that the total energy of the solution of such system decays exponentially as tP# R. The decay rates we obtain are uniform on bounded
## Abstract This paper derives an improved energy inequality for the non‐linear dynamical von Kármán equations. The existence of global classical solutions is a consequence of this a priori inequality.