A multigrid method for weakly nonlinear elliptic equations of the second order

M. M. Karchevskii

Chair of Computational Mathematics, Kazan State University, Kazan, Russia

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.

UDC: 519.68

Received: 15.09.2009

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2011, 55:3, 8–16

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