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 Keywords
- Tikhonov regularization
- Inverse scattering
- optimal control
Date of Defense 2010-12-01 Availability unrestricted AbstractWe 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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