Geodesic
An iterative method for mixed finite element schemes
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 153 (2011) no. 4, pp. 5-10 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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A. P. Gogin; M. M. Karchevsky. An iterative method for mixed finite element schemes. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 153 (2011) no. 4, pp. 5-10. http://geodesic.mathdoc.fr/item/UZKU_2011_153_4_a0/

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