Geodesic
Mixed finite element method for quasilinear degenerate elliptic equations.
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 147 (2005) no. 3, pp. 127-140 
M. M. Karchevskii; A. E. Fedotov. Mixed finite element method for quasilinear degenerate elliptic equations.. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 147 (2005) no. 3, pp. 127-140. http://geodesic.mathdoc.fr/item/UZKU_2005_147_3_a7/
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

The Dirichlet problem for the quasilinear elliptic equations of the second order that admits nonlinear degeneration is considered. A mixed scheme of the finite element method is proposed. The convergence of the discrete mixed problem solution to the generalized solution is investigated. In particular, the strong convergence of discrete flux is established. The iterative methods of the numerical solution of the mixed finite element method schemes are proposed and investigated. There is an example of the application of the proposed numerical methods to the nonlinear seepage theory problem.

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