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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2010, Volume 50, Number 11, Pages 1961–1972 (Mi zvmmf4965)  

This article is cited in 1 scientific paper (total in 1 paper)

Convenient system of FEM test functions for computational fluid dynamics

S. E. Zakiev, L. P. Kholpanov

Institute of Chemical Physics, Russian Academy of Sciences, pr. Akademika Semenova 1, Chernogolovka, Moscow oblast, 142432 Russia
Full-text PDF (240 kB) Citations (1)
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Abstract: For the development of finite element schemes, a fundamentally new system of test functions defined on a finite element that is a convex quadrilateral is proposed. Due to the remarkable properties of the system (specifically, mutual orthogonality), the resulting matrices can be simplified and the corresponding construction procedures can be made more transparent, especially for problems in computational fluid dynamics. Thus, the system of test functions may play an important role in finite element methods as applied to two-dimensional problems.
Key words: finite element method, computational fluid dynamics, new scheme of test functions.
Received: 25.09.2009
Revised: 04.12.2009
English version:
Computational Mathematics and Mathematical Physics, 2010, Volume 50, Issue 11, Pages 1859–1870
DOI: https://doi.org/10.1134/S0965542510110102
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: S. E. Zakiev, L. P. Kholpanov, “Convenient system of FEM test functions for computational fluid dynamics”, Zh. Vychisl. Mat. Mat. Fiz., 50:11 (2010), 1961–1972; Comput. Math. Math. Phys., 50:11 (2010), 1859–1870
Citation in format AMSBIB
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  • This publication is cited in the following 1 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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    References:41
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