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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2015, Volume 55, Number 3, Pages 418–428
DOI: https://doi.org/10.7868/S0044466915030102 (Mi zvmmf10169) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Comparison of scalar and vector FEM forms in the case of an elliptic cylinder

T. A. Kiseleva, Yu. V. Klochkov, A. P. Nikolaev

Volgograd State Agricultural University, 26, Volgograd, 400002, Russia
Full-text PDF (499 kB) Citations (13)
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DOI: https://doi.org/10.7868/S0044466915030102
Abstract: An invariant vector approximation of unknown quantities is proposed and implemented to construct the stiffness matrix of a quadrilateral curved finite element in the form of a fragment of the mid-surface of an elliptic cylinder with 18 degrees of freedom per node. Numerical examples show that the vector approximation has significant advantages over the scalar one as applied to arbitrary shells with considerable mid-surface curvature gradients.
Key words: vector approximation, scalar approximation, finite element, elliptic cylinder, shell theory.
Received: 19.05.2014
Revised: 28.08.2014
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 3, Pages 422–431
DOI: https://doi.org/10.1134/S0965542515030094
Bibliographic databases:
Document Type: Article
UDC: 519.63
MSC: 65N30
Language: Russian
Citation: T. A. Kiseleva, Yu. V. Klochkov, A. P. Nikolaev, “Comparison of scalar and vector FEM forms in the case of an elliptic cylinder”, Zh. Vychisl. Mat. Mat. Fiz., 55:3 (2015), 418–428; Comput. Math. Math. Phys., 55:3 (2015), 422–431
Citation in format AMSBIB
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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