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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 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
Full-text PDF (3079 kB) Citations (4)
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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.
Received: 12.12.2006
Revised: 28.02.2007
English version:
Computational Mathematics and Mathematical Physics, 2008, Volume 48, Issue 5, Pages 786–804
DOI: https://doi.org/10.1134/S0965542508050084
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
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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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    Abstract page:492
    Full-text PDF :288
    References:71
    First page:8
     
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