Geodesic
Solution of the Neumann problem for Poisson's equation by the multigrid method in the three-dimensional case
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 31 (1991) no. 10, pp. 1526-1535 Cet article a éte moissonné depuis la source Math-Net.Ru

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A. Yu. Danilenko. Solution of the Neumann problem for Poisson's equation by the multigrid method in the three-dimensional case. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 31 (1991) no. 10, pp. 1526-1535. http://geodesic.mathdoc.fr/item/ZVMMF_1991_31_10_a8/

[1] Fedorenko R. P., “Iteratsionnye metody resheniya raznostnykh ellipticheskikh uravnenii”, Uspekhi matem. nauk, 28:2 (1973), 121–182 | MR | Zbl

[2] Samarskii A. A., Nikolaev E. S., Metody resheniya setochnykh uravnenii, Nauka, M., 1978 | MR

[3] Harlow F., Welch J., “Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface”, Phys. Fluids, 8:12 (1965), 2182–2189 | DOI | Zbl

[4] Guschin V. A., “Metod rasschepleniya dlya zadach dinamiki neodnorodnoi vyazkoi neszhimaemoi zhidkosti”, Zh. vychisl. matem. i matem. fiz., 21:4 (1981), 1003–1017 | MR

[5] Guschin V. A., Konshin V. N., Chislennoe modelirovanie volnovykh dvizhenii zhidkosti, VTs AN SSSR, M., 1985 | MR

[6] Danilenko A. Yu., Kostin V. I., Tolstykh A. I., O neyavnom algoritme rascheta techenii odnorodnoi i neodnorodnoi zhidkosti, VTs AN SSSR, M., 1985 | MR

[7] Danilenko A. Yu., Chislennoe modelirovanie nekotorykh okeanologicheskikh zadach, VTs AN SSSR, M., 1988

[8] Rykov V. V., Chislennoe modelirovanie prostranstvennykh techenii neszhimaemoi vyazkoi zhidkosti, VTs AN SSSR, M., 1983

[9] Rykov V. V., “Chislennoe modelirovanie nestatsionarnykh techenii neszhimaemom vyazkoi zhidkosti”, Zh. vychisl. matem. i matem. fiz., 25:5 (1985), 789–793 | MR

[10] Fedorenko R. P., “Relaksatsionnyi metod resheniya raznostnykh ellipticheskikh uravnenii”, Zh. vychisl. matem. i matem. fiz., 1:5 (1961), 922–927 | MR | Zbl

[11] Brandt A., Dinar N., “Multigrid solution to elliptic flow problems”, Numer. Methods for PDE's, Acad. Press, N. Y., 1979, 53–147 | MR

[12] Ghia U., Ramamurti R., Ghia K. N., “Solution of the Neumann pressure problem in general orthogonal coordinates using the multigrid technique”, AIAA Journal, 26:5 (1988), 538–547 | DOI | Zbl

[13] Thompson J. F., Warsi Z. U. A., “Boundary-fitted coordinate systems for numerical solution of partial differential equations.-A ireview”, J. Comput. Phys., 47:1 (1982), 1–108 | DOI | MR | Zbl