| 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 |
Abstract
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.
|
| Files |
| Filename |
Size |
Approximate Download Time
(Hours:Minutes:Seconds)
|
| 28.8 Modem |
56K Modem |
ISDN (64 Kb) |
ISDN (128 Kb) |
Higher-speed Access |
| |
Bondarenko_O_T_2010_r2.pdf |
395.39 Kb |
00:01:49 |
00:00:56 |
00:00:49 |
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