Numerical study of active sound minimization problem in a two-layer waveguide
Dalʹnevostočnyj matematičeskij žurnal, Tome 5 (2004) no. 1, pp. 53-65.

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Inverse problems of sound active minimization in a two-layer regular waveguide are formulated. For the solution of these problems the algorithm is developed earlier for the solution of similar problems in an ideal single-layered waveguide is modified. Results of the numerical experiments are discussed.
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T. S. Komashinskaia. Numerical study of active sound minimization problem in a two-layer waveguide. Dalʹnevostočnyj matematičeskij žurnal, Tome 5 (2004) no. 1, pp. 53-65. http://geodesic.mathdoc.fr/item/DVMG_2004_5_1_a6/

[1] G. D. Malyuzhinets, “Nestatsionarnye zadachi difraktsii dlya volnovogo uravneniya s finitnoi pravoi chastyu”, Trudy Akust. in-ta, 15 (1971), 124–139

[2] A. A. Mazannikov, V. V. Tyutekin, M. V. Fedoryuk, “Aktivnoe gashenie zvukovykh polei metodom prostranstvennykh garmonik”, Akust. zhurn., 25:5 (1980), 759–763 | MR

[3] P. A. Nelson, A. R. D. Curtis, S. J. Elliott, A. J. Bullmore, “The active minimization of harmonic enclosed sound fields”, Part 1. Theory, J. Sound Vibr., 117:1 (1987), 1–13 | DOI

[4] G. V. Alekseev, E. G. Komarov, “Chislennoe issledovanie ekstremalnykh zadach teorii izlucheniya zvuka v ploskom volnovode”, Matematicheskoe modelirovanie, 3:12 (1991), 52–63 | MR

[5] G. V. Alekseev, E. G. Komarov, “Ob aktivnom gashenii zvukovykh polei v sloistoneodnorodnykh volnovodakh”, Akust. zhurn., 39:1 (1993), 5–12 | MR

[6] G. V. Alekseev, E. G. Komarov, “Inverse extremal problems of acoustic radiation in a three-dimensional waveguide”, J. Inv. Ill-Posed Problems, 2:2 (1994), 85–108 | DOI | MR | Zbl

[7] J. D. Stell, R. J. Bernhard, “Active control of sound in acoustic waveguides”, Part I. Theory, J. Sound Vibr., 173:2 (1994), 179–196 | DOI

[8] G. V. Alekseev, “Nelineinye zadachi aktivnogo gasheniya zvuka v dvumernykh sloisto-neodnorodnykh volnovodakh”, Akust. zhurn., 43:6 (1997), 737–773

[9] G. V. Alekseev, E. G. Komarov, “Nelineinye obratnye zadachi aktivnogo upravleniya akusticheskimi polyami v dvumernykh volnovodakh”, Doklady RAN, 358:1 (1998), 27–31 | Zbl

[10] G. V. Alekseev, A. S. Panasyuk, “O zadache aktivnogo gasheniya zvuka v trekhmernom volnovode”, Akust. zhurn., 45:6 (1999), 723–729

[11] G. V. Alekseev, T. S. Komashinskaya, Chislennyi analiz obratnykh ekstremalnykh zadach izlucheniya zvuka v dvumernykh glubokikh volnovodakh, Preprint, IPM DVO RAN, Vladivostok, 2000, 56 pp.

[12] G. V. Alekseev, T. S. Komashinskaya, “Chislennyi analiz obratnykh zadach aktivnoi minimizatsii zvukovykh polei v glubokikh ploskikh volnovodakh”, Dinamika sploshnoi sredy (Akustika neodnorodnykh sred), 2001, no. 117, 61–65, IG SO RAN

[13] V. G. Sinko, “Primenenie tekhniki raspredelennykh vychislenii dlya resheniya zadach aktivnogo shumopodavleniya v okeanicheskikh volnovodakh”, Vychisl. tekhnologii, 7:4, spets. vypusk (2002), 129–134

[14] G. V. Alekseev, T. S. Komashinskaya, “Ob aktivnoi minimizatsii potentsialnoi energii zvukovogo polya v dvumernom mnogomodovom volnovode”, Akust. zhurn., 49:2 (2003), 149–155

[15] T. S. Komashinskaya, “Metod raspredelennykh vychislenii pri reshenii obratnykh zadach aktivnoi minimizatsii zvuka v ploskom volnovode”, Fundamentalnye i prikladnye voprosy mekhaniki, Khabar. gos. tekhn. un-t, Khabarovsk, 2003, 279–284

[16] T. S. Komashinskaya, “Chislennoe issledovanie obratnykh ekstremalnykh zadach aktivnogo upravleniya zvukovymi polyami v dvumernykh mnogomodovykh volnovodakh”, Elektronnyi zhurnal “Tekhnicheskaya akustika”, 2003, no. 13 http://webcenter.ru/~eeaa/ejta

[17] T. S. Komashinskaya, “Primenenie metoda raspredelennykh vychislenii dlya resheniya zadachi aktivnoi minimizatsii zvuka v dvumernom mnogomodovom volnovode”, Vych. tekhn., 8:2, Spets. vyp. (2003), 103–108

[18] G. V. Alekseev, T. S. Komashinskaya, V. G. Sinko, “Raspredelennye vychisleniya v zadachakh aktivnoi minimizatsii zvuka v dvumernom mnogomodovom volnovode”, Sib. zhurn. industr. matematiki, 8:2 (2004), 10–23

[19] G. V. Alekseev, Matematicheskie osnovy akustiki okeana, Dalnevost. un-t, Vladivostok, 1988, 228 pp.

[20] A. G. Sveshnikov, “Printsip predelnogo pogloscheniya dlya volnovoda”, Dokl. Akad. Nauk SSSR, 80:3 (1951), 345–347 | Zbl