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Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2011, Volume 153, Book 4, Pages 5–10
(Mi uzku1075)
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This article is cited in 1 scientific paper (total in 1 paper)
An iterative method for mixed finite element schemes
A. P. Gogin, M. M. Karchevsky Kazan (Volga Region) Federal University, Faculty of Computer Science and Cybernetics
Abstract:
This article proposes and investigates an iterative method with a saddle preconditioner for solving a system of nonlinear equations that arises in the approximation of a quasilinear second-order elliptic equation with a mixed scheme of finite elements of Raviart–Thomas type. The ways of choosing iteration parameters to ensure convergence of the method are indicated. The results of numerical experiments are presented.
Keywords:
second-order quasilinear elliptic equation, mixed finite element method, iterative method, saddle matrix, convergence investigation.
Received: 20.10.2011
Citation:
A. P. Gogin, M. M. Karchevsky, “An iterative method for mixed finite element schemes”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 153, no. 4, Kazan University, Kazan, 2011, 5–10
Linking options:
https://www.mathnet.ru/eng/uzku1075 https://www.mathnet.ru/eng/uzku/v153/i4/p5
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Abstract page: | 331 | Full-text PDF : | 90 | References: | 68 |
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