Titelaufnahme

Titel
High precision identification of an object: optimality conditions based concept of imaging
Verfasser/ VerfasserinKovtunenko, Victor ; Kunisch, Karl In der Gemeinsamen Normdatei der DNB nachschlagen
Erschienen in
SIAM Journal on Control and Optimization, 2014, Jg. 52, H. 1, S. 773-796
Ausgabe
Publisher version
SpracheEnglisch
DokumenttypAufsatz in einer Zeitschrift
Schlagwörter (EN)inverse problem / object identification / topology optimization / singular perturbation / variational methods / optimality condition / level sets
ISSN1095-7138
URNurn:nbn:at:at-ubg:3-1216 Persistent Identifier (URN)
DOIdoi:10.1137/13091172X 
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High precision identification of an object: optimality conditions based concept of imaging [0.5 mb]
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Zusammenfassung (Englisch)

A class of inverse problems for the identification of an unknown geometric object from given measurements is considered. A concept for object imaging based on optimality conditions and level sets is introduced which provides high resolution properties of the identification problem and stability to discretization and noise errors. As a specific case, the identification of the center of a test object of arbitrary shape and unknown boundary conditions from $d$ boundary measurements in $d$ spatial dimensions in the context of the Helmholtz equation is described in detail. For analysis and numerical realization, methods from topology optimization, generalized singular perturbations endowed with variational techniques, and a Petrov--Galerkin enrichment within generalized FEM are used.

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