Volume 4, Issue 3-4
Shooting Methods for Numerical Solutions of Exact Controllability Problems Constrained by Linear and Semilinear 2-D Wave Equations

A Kunoth ,  M. Schlichtenmayer and C. Schneider

Int. J. Numer. Anal. Mod., 4 (2007), pp. 625-647

Preview Full PDF BiBTex 0 384
  • Abstract

Numerical solutions of exact controllability problems for linear and semilinear 2-d wave equations with distributed controls are studied. Exact controllability problems can be solved by the corresponding optimal control problems. The optimal control problem is reformulated as a system of equations (an optimality system) that consists of an initial value problem for the underlying (linear or semilinear) wave equation and a terminal value problem for the adjoint wave equation. The discretized optimality system is solved by a shooting method. The convergence properties of the numerical shooting method in the context of exact controllability are illustrated through computational experiments.

  • History

Published online: 2007-04

  • AMS Subject Headings

93B40, 35L05, 65M06.

  • Cited by