Combined method for solving an inverse boundary value problem of aerohydrodynamics for an axisymmetric body
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 7, pp. 1309-1317 Cet article a éte moissonné depuis la source Math-Net.Ru

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A method was designed for determining the shape of an axisymmetric body from a given velocity distribution in its meridional cross section. The method is based on an iterative process involving the solution to an inverse problem in the plane case and the solution to a direct problem for the body. The iterative process has been implemented in a software program. Numerical computations are presented that illustrate the efficiency of the method.
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     title = {Combined method for solving an inverse boundary value problem of aerohydrodynamics for an axisymmetric body},
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N. B. Il'inskii; R. F. Mardanov; S. A. Solov'ev. Combined method for solving an inverse boundary value problem of aerohydrodynamics for an axisymmetric body. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 7, pp. 1309-1317. http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_7_a13/

[1] Fletcher K., Vychislitelnye metody v dinamike zhidkostei, v. 2, Metody rascheta razlichnykh techenii, Mir, M., 1991

[2] Loitsyanskii L. G., Mekhanika zhidkosti i gaza, Fizmatlit, M., 1987

[3] Benerdzhi P., Batterfild R., Metod granichnykh elementov v prikladnykh naukakh, Mir, M., 1984 | MR

[4] Elizarov A. M., Ilinskii N. B., Potashev A. B., Obratnye kraevye zadachi aerogidrodinamiki, Nauka, M., 1994 | MR

[5] Kiselev O. M., “Postroenie tela vrascheniya po zadannomu na nem raspredeleniyu skorosti”, Izv. vuzov. Aviatsionnaya tekhn., 1959, no. 2, 20–24

[6] Eterman I. I., “Opredelenie poverkhnosti tela vrascheniya po zadannomu raspredeleniyu davleniya”, Dokl. AN SSSR, 56:4 (1947), 351–353 | Zbl

[7] Vyachkilev O. A., Ilinskii N. B., Ismagilova G. R. i dr., “Obratnaya kraevaya zadacha dlya reshetki profilei, raspolozhennoi na osesimmetrichnoi poverkhnosti toka v sloe peremennoi tolschiny”, Zh. vychisl. matem. i matem. fiz., 36:11 (1996), 134–142 | MR | Zbl

[8] Tikhonov A. N., Arsenin V. Ya., Metody resheniya nekorrektnykh zadach, Fizmatlit, M., 1974 | MR | Zbl