Geodesic
On geometric methods in the theory of difference grids
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 43 (2003) no. 7, pp. 1035-1048 Cet article a éte moissonné depuis la source Math-Net.Ru

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V. D. Liseikin. On geometric methods in the theory of difference grids. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 43 (2003) no. 7, pp. 1035-1048. http://geodesic.mathdoc.fr/item/ZVMMF_2003_43_7_a8/

[1] Warsi Z. U. A., Tensors and differential geometry applied to analytical and numerical coordinate generation, MSSU-EIRS-81-1, Aerospace Engng., Starkville, 1981 | Zbl

[2] Thompson J. F., Warsi Z. U. A., Mastin C. W., Numerical grid generation. Foundations and applications, Elsevier Sci. Publ., New York, 1985 | MR | Zbl

[3] Knupp P., Steinberg S., Fundamentals of grid generation, CRC Press, Boca Raton, 1993 | MR

[4] Liseikin V. D., Grid generation methods, Springer, Berlin, 1999 | MR | Zbl

[5] Liseikin V. D., Layer resolving grids and transformations for singular perturbation problems, VSP, Utrecht, 2001

[6] Godunov S. K., Prokopov G. P., “O raschetakh konformnykh otobrazhenii i postroenii raznostnykh setok”, Zh. vychisl. matem. i matem. fiz., 7:5 (1967), 1031–1059 | MR | Zbl

[7] Dvinsky A. S., “Adaptive grid generation from harmonic maps on Riemannian manifolds”, J. Comput. Phys., 95 (1991), 450–476 | DOI | MR | Zbl

[8] Liseikin V. D., “O postroenii regulyarnykh setok na $n$-mernykh poverkhnostyakh”, Zh. vychisl. matem. i matem. fiz., 31:12 (1991), 1670–1689 | MR

[9] Winslow A. M., “Equipotential zoning of two-dimensional meshes”, J. Comput. Phys., 1 (1967), 149–172 | DOI | MR

[10] Warsi Z. U. A., “Numerical grid generation in arbitrary surfaces through a second-order differential-geometric model”, J. Comput. Phys., 64 (1986), 82–96 | DOI | MR | Zbl

[11] Lee K. D., Loellbach J. M., “Geometry-adaptive surface grid generation using a parametric projection”, J. Aircraft., 2 (1989), 162–167 | DOI

[12] Godunov S. K., Prokopov G. P., “Ob ispolzovanii podvizhnykh setok v gazodinamicheskikh raschetakh”, Zh. vychisl. matem. i matem. fiz., 12:2 (1972), 429–440 | MR | Zbl

[13] Thompson J. F., Thames F. C., Mastin C. W., “Automatic numerical generation of body-fitted curvilinear coordinate system for field containing any number of arbitrary two-dimensional bodies”, J. Comput. Phys., 15 (1974), 299–319 | DOI | Zbl

[14] Liseikin V. D., “Application of notions and relations of differential geometry to grid generation”, Russ. J. Numer. Analys. Math. Modelling, 16:1 (2001), 57–75 | MR | Zbl

[15] Danaev H. T., Liseikin V. D., Yanenko N. N., “O chislennom raschete dvizheniya vyazkogo gaza vokrug tela vrascheniya na podvizhnoi setke”, Chisl. metody mekhan. sploshnoi sredy, 11, no. 1, ITPMSO AN SSSR, Novosibirsk, 1980, 51–61

[16] Winslow A. M., Adaptive mesh zoning by the equipotential method, UCID-19062, Lawrence Livermore Nat. Labs., Livermore, 1981

[17] Liseikin V. D., “Geometrical and numerical analysis of comprehensive grid generators”, Proc. Conf. Numer. Mech., Alma-Ata State Univ., 2001, 173–189

[18] Liseikin V. D., “Analysis of grids derived by a comprehensive grid generator”, Russ. J. Numer. Analys. Math. Modelling, 17:2 (2002), 183–204 | MR

[19] Liseikin V. D., “O geometricheskom analize svoistv raznostnykh setok”, Dokl. RAN, 383:2 (2002), 167–170 | MR | Zbl

[20] Ivanenko S. A., Charakhchyan A. A., “Krivolineinye setki iz vypuklykh chetyrekhugolnikov”, Zh. vychisl. matem. i matem. fiz., 28:4 (1988), 503–514 | MR