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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1990, Volume 30, Number 4, Pages 513–520 (Mi zvmmf3277)  
This article is cited in 1 scientific paper (total in 1 paper)

The best possible for the convergence of the semimixed finite element method for the main boundary-value problems of the theory of shallow shells in polygonal regions

L. V. Maslovskaya

Odessa
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Abstract: Best possible bounds are derived for the rate of convergence of a version of the finite element method for the main boundary-value problems of the theory of flat shells in a polygonal region. Approximation theorems are proved for the Sobolev weight spaces, making it possible to derive bounds with minimal assumptions on the smoothness of the solution. Recommendations are made concerning the choice of the degrees of the approximating splines, depending on the smoothness of the solution.
Received: 09.03.1989
English version:
USSR Computational Mathematics and Mathematical Physics, 1990, Volume 30, Issue 2, Pages 114–120
DOI: https://doi.org/10.1016/0041-5553(90)90086-8
Bibliographic databases:
Document Type: Article
UDC: 519.6:539.3
MSC: Primary 74S05; Secondary 74K15, 65N12, 35B65
Language: Russian
Citation: L. V. Maslovskaya, “The best possible for the convergence of the semimixed finite element method for the main boundary-value problems of the theory of shallow shells in polygonal regions”, Zh. Vychisl. Mat. Mat. Fiz., 30:4 (1990), 513–520; U.S.S.R. Comput. Math. Math. Phys., 30:2 (1990), 114–120
Citation in format AMSBIB
\Bibitem{Mas90}
\by L.~V.~Maslovskaya
\paper The best possible for the convergence of the semimixed finite element method for the main boundary-value problems of the theory of shallow shells in polygonal regions
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1990
\vol 30
\issue 4
\pages 513--520
\mathnet{http://mi.mathnet.ru/zvmmf3277}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1055814}
\zmath{https://zbmath.org/?q=an:0708.73080}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1990
\vol 30
\issue 2
\pages 114--120
\crossref{https://doi.org/10.1016/0041-5553(90)90086-8}
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    • This publication is cited in the following 1 articles:
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