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Virginia Tech

Optimal Control for an Impedance Boundary Value Problem

Abstract

dc:description.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.

Degree

thesis:*
Name thesis:degree_name
Master of Science
Level thesis:degree_level
masters
Discipline thesis:degree_discipline
Mathematics
Department dc:contributor.department
Mathematics
Grantor dc:publisher
Virginia Tech
Year dc:date.issued
2010

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Bondarenko, Oleksandr
Chair dc:contributor.committeechair
  • Herdman, Terry L.
Committee members dc:contributor.committeemember
  • Burns, John A.
  • Borggaard, Jeffrey T.

Subjects

dc:subject × 3

Rights

dc:rights
Statement dc:rights
  • In Copyright
Language dc:language.iso
en

Identifiers

dc:identifier.*
Dc Identifier Other
etd-12142010-165005
OAI identifier oai:identifier
oai:vtechworks.lib.vt.edu:10919/36136

Chain of custody

source
Harvested from
Virginia Tech
Base URL
vtechworks.lib.vt.edu/oai/request
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
citation

Bondarenko, Oleksandr. Optimal Control for an Impedance Boundary Value Problem. masters thesis, Virginia Tech, 2010. http://hdl.handle.net/10919/36136