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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 3, Pages 10–19 (Mi ivm7241)  
A multigrid method for weakly nonlinear elliptic equations of the second order

M. M. Karchevskii

Chair of Computational Mathematics, Kazan State University, Kazan, Russia
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Abstract: We consider the Dirichlet problem for the weakly nonlinear elliptic equation of second order in divergence form. The convergence of the multigrid method for solving of this problem is proved. The method that we investigate is based on the application of conform finite elements and the Jacobi smoother procedure.
Keywords: weakly nonlinear elliptic equation, finite element method, multigrid iteration method.
Received: 15.09.2009
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 3, Pages 8–16
DOI: https://doi.org/10.3103/S1066369X11030029
Bibliographic databases:
Document Type: Article
UDC: 519.68
Language: Russian
Citation: M. M. Karchevskii, “A multigrid method for weakly nonlinear elliptic equations of the second order”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 3, 10–19; Russian Math. (Iz. VUZ), 55:3 (2011), 8–16
Citation in format AMSBIB
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\by M.~M.~Karchevskii
\paper A multigrid method for weakly nonlinear elliptic equations of the second order
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 3
\pages 10--19
\mathnet{http://mi.mathnet.ru/ivm7241}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2919803}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 3
\pages 8--16
\crossref{https://doi.org/10.3103/S1066369X11030029}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79953000470}
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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