Title page for ETD etd-12142010-165005

Type of Document Master's Thesis
Author Bondarenko, Oleksandr
URN etd-12142010-165005
Title Optimal Control for an Impedance Boundary Value Problem.
Degree Master of Science
Department Mathematics
Advisory Committee
Advisor Name Title
Herdman, Terry L. Committee Chair
Borggaard, Jeffrey T. Committee Member
Burns, John A. Committee Member
  • Tikhonov regularization
  • Inverse scattering
  • optimal control
Date of Defense 2010-12-01
Availability unrestricted
We consider the analysis of the scattering problem. Assume that an incoming time harmonic wave is scattered by a surface of an impenetrable obstacle. The reflected wave is determined by the surface impedance of the obstacle. In this paper we will investigate the problem of choosing the surface impedance so that a desired scattering amplitude is achieved. We formulate this control problem within the framework of the minimization

of a Tikhonov functional. In particular, questions of the existence of an optimal solution

and the derivation of the optimality conditions will be addressed.

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