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Eurasian Mathematical Journal, 2016, Volume 7, Number 3, Pages 41–52 (Mi emj232)  
This article is cited in 3 scientific papers (total in 3 papers)

A shape-topological control of variational inequalities

V. A. Kovtunenkoab, G. Leugeringc

a Lavrent'ev Institute of Hydrodynamics, 630090 Novosibirsk, Russia
b Institute for Mathematics and Scientific Computing, Karl-Franzens University of Graz, NAWI Graz, Heinrichstr. 36, 8010 Graz, Austria
c Applied Mathematics 2, Friedrich-Alexander University of Erlangen-Nürnberg, Cauerstr. 11, 91058 Erlangen, Germany
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Abstract: A shape-topological control of singularly perturbed variational inequalities is considered in the abstract framework for state-constrained optimization problems. Aiming at asymptotic analysis, singular perturbation theory is applied to the geometry-dependent objective function and results in a shape-topological derivative. This concept is illustrated analytically in a one-dimensional example problem which is controlled by an inhomogeneity posed in a domain with moving boundary.
Keywords and phrases: shape-topological control, state-constrained optimization, variational inequality, singular perturbation, inhomogeneity, shape-topological derivative.
Funding agency Grant number
Austrian Science Fund P26147-N26
Deutsche Forschungsgemeinschaft EC 315
OeAD WTZ CZ 01/2016
V.A. Kovtunenko is supported by the Austrian Science Fund (FWF) project P26147-N26 "Object identification problems: numerical analysis", he thanks the Austrian Academy of Sciences (OeAW) and and OeAD Scientific & Technological Cooperation WTZ CZ 01/2016. G. Leugering is supported by DFG EC 315 "Engineering of Advanced Materials".
Received: 14.03.2016
Bibliographic databases:
Document Type: Article
MSC: 35B25, 49J40, 49Q10, 74G70
Language: English
Citation: V. A. Kovtunenko, G. Leugering, “A shape-topological control of variational inequalities”, Eurasian Math. J., 7:3 (2016), 41–52
Citation in format AMSBIB
\Bibitem{KovLeu16}
\by V.~A.~Kovtunenko, G.~Leugering
\paper A shape-topological control of variational inequalities
\jour Eurasian Math. J.
\yr 2016
\vol 7
\issue 3
\pages 41--52
\mathnet{http://mi.mathnet.ru/emj232}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000391008000005}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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