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Zh. Vychisl. Mat. Mat. Fiz.:

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Zh. Vychisl. Mat. Mat. Fiz., 1996, Volume 36, Number 1, Pages 3–41 (Mi zvmmf2298)  

This article is cited in 25 scientific papers (total in 25 papers)

A survey of methods for constructing structured adaptive grids

V. D. Liseĭkin


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English version:
Computational Mathematics and Mathematical Physics, 1996, 36:1, 1–32

Bibliographic databases:
UDC: 519.63
MSC: Primary 65N50; Secondary 65M50
Received: 09.09.1994
Revised: 13.07.1995

Citation: V. D. Liseǐkin, “A survey of methods for constructing structured adaptive grids”, Zh. Vychisl. Mat. Mat. Fiz., 36:1 (1996), 3–41; Comput. Math. Math. Phys., 36:1 (1996), 1–32

Citation in format AMSBIB
\by V.~D.~Lise{\v\i}kin
\paper A survey of methods for constructing structured adaptive grids
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1996
\vol 36
\issue 1
\pages 3--41
\jour Comput. Math. Math. Phys.
\yr 1996
\vol 36
\issue 1
\pages 1--32

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    This publication is cited in the following articles:
    1. S. A. Ivanenko, G. P. Prokopov, “Methods of adaptive harmonic grid generation”, Comput. Math. Math. Phys., 37:6 (1997), 627–645  mathnet  mathscinet  zmath
    2. Liseikin V.D., “Algebraic adaptation based on stretching functions”, Russian J Numer Anal Math Modelling, 13:4 (1998), 307–324  crossref  mathscinet  zmath  isi  scopus
    3. V. D. Liseikin, “A method of algebraic adaptation”, Comput. Math. Math. Phys., 38:10 (1998), 1624–1640  mathnet  mathscinet  zmath
    4. Makhanov S., Sonthipaumpoon K., Vannakrairojn S., “Variational gridding algorithms to optimize a tool-path of a five-axis milling machine”, Apccas '98 - IEEE Asia-Pacific Conference on Circuits and Systems - Microelectronics and Integrating Systems, 1998, 515–518  isi
    5. Hyman J.M., Li S.T., Knupp P., Shashkov M., “An algorithm for aligning a quadrilateral grid with internal boundaries”, J Comput Phys, 163:1 (2000), 133–149  crossref  mathscinet  zmath  adsnasa  isi  scopus
    6. Lliseikin V.D., “Grid generation based on analysis of singular equations”, Analytical and Numerical Methods for Convection-Dominated and Singularly Perturbed Problems, 2000, 95–104  isi
    7. M. M. Dëmin, V. I. Mazhukin, A. V. Shapranov, “Dynamic adaptation method for a laminar combustion problem”, Comput. Math. Math. Phys., 41:4 (2001), 609–621  mathnet  mathscinet  zmath
    8. A. N. Gilmanov, “Application of dynamically adaptive grids to the analysis of flows with a mutiscale structure”, Comput. Math. Math. Phys., 41:2 (2001), 289–303  mathnet  mathscinet  zmath
    9. Makhanov S.S., Batanov D., Bohez E., Sonthipaumpoon K., Anotaipaiboon W., Tabucanon A., “On the tool-path optimization of a milling robot”, Computers & Industrial Engineering, 43:3 (2002), 455–472  crossref  isi  scopus
    10. Makhanov S.S., Ivanenko S.A., “Grid generation as applied to optimize cutting operations of the five-axis milling machine”, Appl Numer Math, 46:3–4 (2003), 331–351  crossref  mathscinet  zmath  isi  scopus
    11. Mazhukin V.I., Smurov I., Shapranov A.V., Demin M.M., “The method of constructing dynamically adapting grids for problems of unstable laminar combustion”, Numerical Heat Transfer Part B-Fundamentals, 44:4 (2003), 387–415  crossref  mathscinet  adsnasa  isi  scopus
    12. Sahoo R.K., Prasad V., “A composite adaptive grid generation and migration technique for materials processing problems”, SIAM J Sci Comput, 24:4 (2003), 1175–1202  crossref  mathscinet  zmath  isi  scopus
    13. Ivanenko S.A., Makhanov S.S., Munlin M.A., “New numerical algorithms to optimize cutting operations of a five-axis milling machine”, Appl Numer Math, 49:3–4 (2004), 395–413  crossref  zmath  isi  scopus
    14. P. V. Breslavskii, V. I. Mazhukin, “Modelirovanie vzaimodeistviya udarnykh voln na dinamicheski adaptiruyuschikhsya setkakh”, Matem. modelirovanie, 19:11 (2007), 83–95  mathnet  mathscinet  zmath  elib
    15. A. G. Zhilkin, “A dynamic mesh adaptation method for magnetohydrodynamics problems”, Comput. Math. Math. Phys., 47:11 (2007), 1819–1832  mathnet  crossref  mathscinet
    16. P. V. Breslavskiy, V. I. Mazhukin, “Dynamically adapted grids for interacting discontinuous solutions”, Comput. Math. Math. Phys., 47:4 (2007), 687–706  mathnet  crossref  mathscinet  zmath  elib  elib
    17. 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
    18. B. N. Azarenok, “Variational method for adaptive mesh generation”, Comput. Math. Math. Phys., 48:5 (2008), 786–804  mathnet  crossref  mathscinet  zmath  isi
    19. He W., Lei M., Bin H., “Iso-parametric CNC tool path optimization based on adaptive grid generation”, International Journal of Advanced Manufacturing Technology, 41:5–6 (2009), 538–548  crossref  isi  scopus
    20. V. M. Kovenya, A. A. Eremin, “Predictor-corrector method for numerical solution of Euler and Navier–Stokes equations”, J. Math. Sci., 215:4 (2016), 484–498  mathnet  crossref  crossref
    21. N. G. Burago, I. S. Nikitin, V. L. Yakushev, “Hybrid numerical method with adaptive overlapping meshes for solving nonstationary problems in continuum mechanics”, Comput. Math. Math. Phys., 56:6 (2016), 1065–1074  mathnet  crossref  crossref  isi  elib
    22. V. S. Gun, V. S. Morozova, V. L. Polyatsko, “Sistema postroeniya dvumernykh ortogonalnykh setok obschego naznacheniya”, Matem. modelirovanie, 29:11 (2017), 71–88  mathnet  elib
    23. V. I. Paasonen, “The properties of difference schemes on oblique stencils for the hyperbolic equations”, Num. Anal. Appl., 11:1 (2018), 60–72  mathnet  crossref  crossref  isi  elib
    24. N. G. Burago, I. S. Nikitin, “Matrix-free conjugate gradient implementation of implicit schemes”, Comput. Math. Math. Phys., 58:8 (2018), 1247–1258  mathnet  crossref  crossref  isi  elib
    25. Khakimzyanov G. Dutykh D. Mitsotakis D. Shokina N.Yu., “Numerical Simulation of Conservation Laws With Moving Grid Nodes: Application to Tsunami Wave Modelling”, Geosciences, 9:5 (2019), UNSP 197  crossref  isi
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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