Geodesic
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 
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/
@article{ZVMMF_2008_48_7_a13,
     author = {N. B. Il'inskii and R. F. Mardanov and S. A. Solov'ev},
     title = {Combined method for solving an inverse boundary value problem of aerohydrodynamics for an axisymmetric body},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1309--1317},
     year = {2008},
     volume = {48},
     number = {7},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_7_a13/}
}
TY  - JOUR
AU  - N. B. Il'inskii
AU  - R. F. Mardanov
AU  - S. A. Solov'ev
TI  - Combined method for solving an inverse boundary value problem of aerohydrodynamics for an axisymmetric body
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2008
SP  - 1309
EP  - 1317
VL  - 48
IS  - 7
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_7_a13/
LA  - ru
ID  - ZVMMF_2008_48_7_a13
ER  - 
%0 Journal Article
%A N. B. Il'inskii
%A R. F. Mardanov
%A S. A. Solov'ev
%T Combined method for solving an inverse boundary value problem of aerohydrodynamics for an axisymmetric body
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2008
%P 1309-1317
%V 48
%N 7
%U http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_7_a13/
%G ru
%F ZVMMF_2008_48_7_a13

Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[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