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Convenient system of FEM test functions for computational fluid dynamics

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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.

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Authors and Affiliations

  1. Institute of Chemical Physics, Russian Academy of Sciences, pr. Akademika Semenova 1, Chernogolovka, Moscow oblast, 142432, Russia

    S. E. Zakiev & L. P. Kholpanov

Authors
  1. S. E. Zakiev
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  2. L. P. Kholpanov
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Corresponding author

Correspondence to S. E. Zakiev.

Additional information

Original Russian Text © S.E. Zakiev, L.P. Kholpanov, 2010, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2010, Vol. 50, No. 11, pp. 1961–1972.

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Zakiev, S.E., Kholpanov, L.P. Convenient system of FEM test functions for computational fluid dynamics. Comput. Math. and Math. Phys. 50, 1859–1870 (2010). https://doi.org/10.1134/S0965542510110102

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  • DOI: https://doi.org/10.1134/S0965542510110102

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