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Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, 2009, Volume 151, Book 3, Pages 154–161 (Mi uzku794)  
On convergence of multigrid method for elliptic equations of second order

M. M. Karchevsky

Kazan State University
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Abstract: The Dirichlet problem for the general elliptic equation of second order in divergence form is considered. Convergence of the multigrid method for solving this problem is proved. The method investigated in the article is based on the application of conform finite elements and Jacobi smoother procedure.
Keywords: linear elliptic equation of second order, finite element method, multigrid method, convergence research.
Received: 09.06.2009
Document Type: Article
UDC: 519.68
Language: Russian
Citation: M. M. Karchevsky, “On convergence of multigrid method for elliptic equations of second order”, Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 151, no. 3, Kazan University, Kazan, 2009, 154–161
Citation in format AMSBIB
\Bibitem{Kar09}
\by M.~M.~Karchevsky
\paper On convergence of multigrid method for elliptic equations of second order
\serial Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki
\yr 2009
\vol 151
\issue 3
\pages 154--161
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku794}
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