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Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2010, Volume 152, Book 1, Pages 235–244 (Mi uzku824)  
This article is cited in 4 scientific papers (total in 4 papers)

On finite element method of high-order accuracy for two-point degenerated Dirichlet problem of 4th order

A. A. Sobolev, M. R. Timerbaev

Kazan State University, The Faculty of Computer Science and Cybernetics
Full-text PDF (241 kB) Citations (4)
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Abstract: In this paper two-point boundary value problem for a differential equation of 4th order with degeneration is considered. This problem is solved by the finite element method of high-order accuracy with a multiplicative separation of singularity. The optimal convergence rate of the presented method for a given class of smoothness of the right-hand sides is proved.
Keywords: two-point boundary value problem, weighted Sobolev space, finite element method, multiplicative decomposition of singularity.
Received: 25.01.2010
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
Citation: A. A. Sobolev, M. R. Timerbaev, “On finite element method of high-order accuracy for two-point degenerated Dirichlet problem of 4th order”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 152, no. 1, Kazan University, Kazan, 2010, 235–244
Citation in format AMSBIB
\Bibitem{SobTim10}
\by A.~A.~Sobolev, M.~R.~Timerbaev
\paper On finite element method of high-order accuracy for two-point degenerated Dirichlet problem of 4th order
\serial Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
\yr 2010
\vol 152
\issue 1
\pages 235--244
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku824}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3145254}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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