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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2010, Volume 50, Number 11, Pages 1961–1972
(Mi zvmmf4965)
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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
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
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
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https://www.mathnet.ru/eng/zvmmf4965 https://www.mathnet.ru/eng/zvmmf/v50/i11/p1961
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Abstract page: | 346 | Full-text PDF : | 107 | References: | 41 | First page: | 4 |
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