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Zh. Vychisl. Mat. Mat. Fiz., 2008, Volume 48, Number 5, Pages 831–850 (Mi zvmmf140)  

This article is cited in 3 scientific papers (total in 4 papers)

Variational method for adaptive mesh generation

B. N. Azarenok

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia

Abstract: A variational method is suggested for generating adaptive grids composed of hexahedral cells. The method is based on the minimization of a functional written on a manifold in a space whose variables are usual spatial coordinates in a physical domain and the components of a monitor vector function. A grid is constructed in the manifold, and its projection onto the physical domain yields an adaptive grid. Examples of adaptive grid generation are given.

Key words: adaptive moving grid, minimization of functional, control metric, monitor metric, infinite barrier.

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English version:
Computational Mathematics and Mathematical Physics, 2008, 48:5, 786–804

Bibliographic databases:

UDC: 519.63
Received: 12.12.2006
Revised: 28.02.2007

Citation: B. N. Azarenok, “Variational method for adaptive mesh generation”, Zh. Vychisl. Mat. Mat. Fiz., 48:5 (2008), 831–850; Comput. Math. Math. Phys., 48:5 (2008), 786–804

Citation in format AMSBIB
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. 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
    2. Titov E.V., Levin D.A., Picetti D.J., Anderson B.P., “Thermal Protection System Crack Growth Simulation Using Advanced Grid Morphing Techniques”, Journal of Thermophysics and Heat Transfer, 24:4 (2010), 708–720  crossref  isi  scopus
    3. Bin J., Uzun A., Hussaini M.Y., “Adaptive mesh redistribution method for domains with complex boundaries”, J. Comput. Phys., 230:8 (2011), 3178–3204  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    4. M. K. Kerimov, “Pamyati doktora fiziko-matematicheskikh nauk Borisa Nikolaevicha Azarenka”, Zh. vychisl. matem. i matem. fiz., 52:6 (2012), 1166–1168  mathnet
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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