Control Approach in Cloaking Problems for 2-D Model of Sound Scattering

Gennady V. Alekseev; Alexey Lobanov; Valeriy Sosnov

doi:10.4028/www.scientific.net/AMM.635-637.13

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Preface and Conference Organization

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 635-637Control Approach in Cloaking Problems for 2-D...

Control Approach in Cloaking Problems for 2-D Model of Sound Scattering

Abstract:

We consider control problems for 2-D Helmholtz equation in a bounded domain with partially coated boundary. These problems are associated with acoustic cloaking. Dirichlet boundary condition is given on one part of the boundary and the impedance boundary condition is given on another part of the boundary. The role of control in control problem under study is played by surface impedance. Solvability of control problem is proved and optimality system is derived.

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Periodical:

Applied Mechanics and Materials (Volumes 635-637)

Pages:

13-16

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.635-637.13

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Online since:

September 2014

Authors:

Gennady V. Alekseev*, Alexey Lobanov, Valeriy Sosnov

Keywords:

Boundary Control, Control Problem, Helmholtz Equation, Impedance, Mixed Boundary Value Problem, Solvability

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References

[1] F. Caconi, D. Colton and P. Monk: Inverse problems Vol. 17 (2001), p. (1997).

Google Scholar

[2] R. Kress, W. Rundell: Inverse problems Vol. 17 (2001), p.1075.

Google Scholar

[3] J. Liu, G. Nakamura, M. Sini: SIAM Journal on Applied Mathematics Vol. 67 (2007), p.1124.

Google Scholar

[4] G.V. Alekseev, R.V. Brizitskii: J. of Applied and Industrial Mathematics Vol. 5 (2011), p.478.

Google Scholar

[5] G.V. Alekseev, R.V. Brizitskii, V.G. Romanov: Doklady Mathematics Vol. 86 (2012), p.733.

Google Scholar

[6] Ju. Yu. Fershalov, T.V. Sazonov: Advanced Materials Research Vol. 915-916 (2014), p.345.

Google Scholar

[7] M. Yu. Fershalov, A. Yu. Fershalov, Ju. Yu. Fershalov: Advanced Materials Research Vol. 915-916 (2014), p.341.

DOI: 10.4028/www.scientific.net/amr.915-916.341

Google Scholar

[8] Yu. Ya. Fershalov: Russian Aeronautics Vol. 55 (2014), p.424.

Google Scholar

[9] J.B. Pendry, D. Schurig and D.R. Smith: Science Vol. 312 (2006), p.1780.

Google Scholar

[10] G.V. Alekseev, V.G. Romanov: J. of Applied and Industrial Mathematics Vol. 6 (2012), p.1.

Google Scholar

[11] A.E. Dubinov, L.A. Mytareva: Physics-Uspekhi Vol. 53 (2010), p.455.

Google Scholar

[12] G. Leugering et al.: Applied Mathematics and Optimization Vol. 64 (2011), p.441.

Google Scholar

[13] G.V. Alekseev: Doklady Physics Vol. 58 (2013), p.147.

Google Scholar

[14] G.V. Alekseev: Computational Mathematics and Math. Physics Vol. 53 (2013), p.1853.

Google Scholar

[15] G.V. Alekseev: Doklady Physics Vol. 58 (2013), p.482.

Google Scholar

[16] G.V. Alekseev: Applicable Analysis Vol. 93 (2014), p.254.

Google Scholar

[17] G.V. Alekseev: Optimization in stationary problems of heat and mass transfer and magnetic hydrodynamics (Nauchniy Mir, Moscow 2010). [in Russian].

Google Scholar