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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2003, Volume 43, Number 6, Pages 808–817 (Mi zvmmf1002)  

This article is cited in 16 scientific papers (total in 17 papers)

On piecewise-smooth homeomorphic mappings of bounded domains and its applications to the theory of grids

N. A. Bobylëva, S. A. Ivanenkob, A. V. Kazunina

a Institute of Control Sciences, Russian Academy of Sciences
b Dorodnitsyn Computing Centre of the Russian Academy of Sciences
References:
Received: 07.10.2002
Bibliographic databases:
Document Type: Article
UDC: 519.63
MSC: 65N50
Language: Russian
Citation: N. A. Bobylëv, S. A. Ivanenko, A. V. Kazunin, “On piecewise-smooth homeomorphic mappings of bounded domains and its applications to the theory of grids”, Zh. Vychisl. Mat. Mat. Fiz., 43:6 (2003), 808–817; Comput. Math. Math. Phys., 43:6 (2003), 772–781
Citation in format AMSBIB
\Bibitem{BobIvaKaz03}
\by N.~A.~Bobyl\"ev, S.~A.~Ivanenko, A.~V.~Kazunin
\paper On piecewise-smooth homeomorphic mappings of bounded domains and its applications to the theory of grids
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2003
\vol 43
\issue 6
\pages 808--817
\mathnet{http://mi.mathnet.ru/zvmmf1002}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1994410}
\zmath{https://zbmath.org/?q=an:1076.65107}
\transl
\jour Comput. Math. Math. Phys.
\yr 2003
\vol 43
\issue 6
\pages 772--781
Linking options:
  • https://www.mathnet.ru/eng/zvmmf1002
  • https://www.mathnet.ru/eng/zvmmf/v43/i6/p808
  • This publication is cited in the following 17 articles:
    1. O. V. Ushakova, “O razvitii variatsionnogo podkhoda postroeniya optimalnykh setok (obzor)”, Tr. IMM UrO RAN, 29, no. 2, 2023, 217–247  mathnet  crossref  mathscinet  elib
    2. Ushakova O.V., “Criteria For Hexahedral Cell Classification”, Appl. Numer. Math., 127 (2018), 18–39  crossref  mathscinet  zmath  isi  scopus
    3. A. V. Boluchevskaya, “Sokhranenie orientatsii simpleksa pri kvaziizometrichnom otobrazhenii”, Izv. Sarat. un-ta. Nov. ser. Ser.: Matematika. Mekhanika. Informatika, 13:1(2) (2013), 20–23  mathnet  crossref
    4. M. F. Prokhorova, “Kriterii gomeomorfizma v teorii postroeniya setok”, Zh. vychisl. matem. i matem. fiz., 52:5 (2012), 878–882  mathnet
    5. Ushakova O.V., “Nondegeneracy tests for hexahedral cells”, Comput. Methods Appl. Mech. Engrg., 200:17–20 (2011), 1649–1658  crossref  mathscinet  zmath  adsnasa  isi  scopus
    6. Azarenok B.N., “On 2D Structured Mesh Generation by Using Mappings”, Numer Methods Partial Differential Equations, 27:5 (2011), 1072–1091  crossref  mathscinet  zmath  isi  elib  scopus
    7. B. N. Azarenok, “Generation of structured difference grids in two-dimensional nonconvex domains using mappings”, Comput. Math. Math. Phys., 49:5 (2009), 797–809  mathnet  crossref  zmath  isi
    8. B. N. Azarenok, “A variational method of hexahedral mesh generation with control metric”, Math. Models Comput. Simul., 1:5 (2009), 573–590  mathnet  crossref  mathscinet  zmath
    9. M. F. Prokhorova, “Problems of homeomorphism arising in the theory of grid generation”, Proc. Steklov Inst. Math. (Suppl.), 261, suppl. 1 (2008), S165–S182  mathnet  crossref  isi  elib
    10. O. V. Ushakova, “Optimization algorithms for three-dimensional grids in domains of rotation”, Proc. Steklov Inst. Math. (Suppl.), 261, suppl. 1 (2008), S228–S259  mathnet  crossref  elib
    11. O. V. Ushakova, “Classification of hexahedral cells”, Comput. Math. Math. Phys., 48:8 (2008), 1327–1348  mathnet  crossref  mathscinet  zmath  isi
    12. B. N. Azarenok, “Variational method for adaptive mesh generation”, Comput. Math. Math. Phys., 48:5 (2008), 786–804  mathnet  crossref  mathscinet  zmath  isi
    13. Miklyukov V.M., “Piecewise-smooth+ version of the implicit-function theorem”, Ukrainian Math. J., 60:5 (2008), 708–715  crossref  mathscinet  zmath  isi  elib  scopus
    14. Azarenok B.N., “A method of constructing adaptive hexahedral moving grids”, J. Comput. Phys., 226:1 (2007), 1102–1121  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    15. Azarenok B.N., “A variational hexahedral grid generator with control metric”, J. Comput. Phys., 218:2 (2006), 720–747  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    16. Bronina T.N., Ushakova O.V., “Three-dimensional grid generation algorithms for the volumes of revolution”, Zababakhin Scientific Talks - 2005, AIP Conference Proceedings, 849, 2006, 492–498  crossref  adsnasa  isi  scopus
    17. M. K. Kerimov, A. A. Charakhch'yan, “In memory of Sergeĭ Aleksandrovich Ivanenko”, Comput. Math. Math. Phys., 44:4 (2004), 723–726  mathnet  mathscinet  zmath
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