A shape-topological control of variational inequalities
Leugering G, Kovtunenko V (2016)
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 2016
Journal
Publisher: Eurasian Mathematical Journal
Book Volume: 7
Pages Range: 41-52
Journal Issue: 3
URI: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85007622311&origin=inward
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.
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Austria (AT)How to cite
APA:
Leugering, G., & Kovtunenko, V. (2016). A shape-topological control of variational inequalities. Eurasian Mathematical Journal, 7(3), 41-52.
MLA:
Leugering, Günter, and Viktor Kovtunenko. "A shape-topological control of variational inequalities." Eurasian Mathematical Journal 7.3 (2016): 41-52.
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