Voir la notice de l'article provenant de la source Math-Net.Ru
@article{MM_2008_20_9_a0, author = {B. N. Azarenok}, title = {A variational method of hexahedral mesh generation with control metric}, journal = {Matemati\v{c}eskoe modelirovanie}, pages = {3--22}, publisher = {mathdoc}, volume = {20}, number = {9}, year = {2008}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MM_2008_20_9_a0/} }
B. N. Azarenok. A variational method of hexahedral mesh generation with control metric. Matematičeskoe modelirovanie, Tome 20 (2008) no. 9, pp. 3-22. http://geodesic.mathdoc.fr/item/MM_2008_20_9_a0/
[1] A. Winslow, “Numerical solution of the quasi-linear Poisson equation in a nonuniform triangle mesh”, J. Comput. Phys., 1 (1966), 149–172 | DOI | MR | Zbl
[2] S. K. Godunov, G. P. Prokopov, “O raschetakh konformnykh otobrazhenii i postroenii raznostnykh setok”, Zh. vychisl. matem. i matem. fiz., 7:5 (1967), 1031–1059 | MR | Zbl
[3] J. F. Thompson, Z. U. A. Warsi, W. Mastin, Numerical Grid Generation, North-Holland, N.Y. etc., 1985 ; доступна на http://www.hpc.msstate.edu/ publications/gridbook/ | MR | Zbl
[4] P. Knupp, S. Steinberg, Fundamentals of Grid Generation, CRC Press, Boca Raton, Fl., 1993 | MR
[5] S. A. Ivanenko, Adaptivno-garmonicheskie setki, VTs RAN, M., 1997, 181 pp. | MR
[6] V. D. Liseikin, Grid Generation Methods, Springer-Verlag, New York, 1999 | MR | Zbl
[7] T. Radó, “Aufgabe 41, Jahresber”, Deutsche Math.-Verein, 35 (1926), 49
[8] P. Knupp, R. Luczak, “Truncation error in grid generation: a case study”, Numerical Methods for Partial Differential Equations, 11 (1995), 561–571 | DOI | MR | Zbl
[9] S. A. Ivanenko, A. A. Chapakhchyan, “Kpivolineinye setki iz vypuklykh chetypekhugolnikov”, Zh. vychisl. matem. i matem. fiz., 28:4 (1988), 503–514 | MR
[10] S. P. Spekreijse, “Elliptic generation systems”, Handbook of Grid Generation, Chapt. 4, eds. Thompson J. F., Soni B. K., Weatherill N. P., CRC Press, Boca Raton, FL, 1999, 1–48 | MR
[11] S. A. Ivanenko, “Upravlenie formoi yacheek v protsesse postroeniya setok”, Zh. vychisl. matem. i matem. fiz., 40:11 (2000), 1662–1684 | MR | Zbl
[12] R. S. Laugesen, “Injectivity can fail for higher-dimensional harmonic extensions”, Complex Variables, 28 (1996), 357–369 | MR | Zbl
[13] O. V. Ushakova, “Usloviya nevyrozhdennosti trekhmernykh yacheek. Formula dlya ob'ema yacheek”, Zh. vychisl. matem. i matem. fiz., 41:6 (2001), 881–894 | MR | Zbl
[14] O. V. Ushakova, “On nondegeneracy of three-dimensional grids”, Proc. Steklov Inst. of Math., Suppl. 1, 2004, S78–S100 | MR | Zbl
[15] J. F. Thompson, “A general three-dimensional elliptic grid generation system on a composite block structure”, Comp. Meth. in Appl. Mech. and Engin., 64 (1987), 377–411 | DOI | Zbl
[16] P. Knupp, “A method for hexahedral mesh shape optimization”, Int. J. Meth. Engng., 58 (2003), 319–332 | DOI | Zbl
[17] T. N. Bronina, I. A. Gasilova, O. V. Ushakova, “Algoritmy postroeniya trekhmernykh strukturirovannykh setok”, Zhurnal vychisl. matem. i matem. fiz., 43:6 (2003), 875–883 | MR | Zbl
[18] S. A. Ivanenko, “Variatsionnye metody postroeniya setok”, Zh. vychisl. matem. i matem. fiz., 43:6 (2003), 830–844 | MR | Zbl
[19] G. P. Prokopov, Universalnye variatsionnye funktsionaly dlya postroeniya dvumernykh setok, Preprint No 1, IPM RAN, 2001, 36 pp.
[20] B. N. Azarenok, “Ob odnoi skheme rascheta detonatsionnykh voln na podvizhnykh setkakh”, Zh. vychisl. matem. i matem. fiz., 45:12 (2005), 2260–2282 | MR | Zbl
[21] N. A. Bobylev, S. A. Ivanenko, A. V. Kazunin, “O kusochno-gladkikh gomeomorfnykh otobrazheniyakh ogranichennykh oblastei i ikh prilozheniyakh k teorii setok”, Zh. vychisl. matem. i matem. fiz., 43:6 (2003), 808–817 | MR | Zbl
[22] B. N. Azarenok, Ob odnom variatsionnom metode postroeniya prostranstvennykh setok, VTs RAN, M., 2006, 51 pp. | MR
[23] O. V. Ushakova, “Klassifikatsiya shestigrannykh yacheek”, Zh. vychisl. matem. i matem. fiz., 48:8 (2008), 1406–1428 | MR | Zbl