This article is cited 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.

UDC: 519.68

Received: 20.10.2011