Finite Element Approximation of an Optimal Control Problem for the Von Karman Equations

Abstract

This paper is concerned with optimal control problems for the von Karman equations with distributed controls. We first show that optimal solutions exist. We then show that Lagrange multipliers may be used to enforce the constraints 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 estimates for the approximations. Optimal control, Numerical approximation, Finite element methods, Von Karman equations

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1994
Accession Number
ADA283781

Entities

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  • James C. Turner
  • L. S. Hou

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  • C4I

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  • Engineering
  • Mathematics

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  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Mechanics and Fluid Dynamics.