A mesh independent superlinear algorithm for some nonlinear nonsymmetric elliptic systems

Authors:
I. Antal;J. Karátson
Affiliations:
Department of Applied Analysis and Computational Mathematics, ELTE University, H-1518 Budapest, Pf. 120, Hungary;Department of Applied Analysis and Computational Mathematics, ELTE University, H-1518 Budapest, Pf. 120, Hungary
Venue:
Computers & Mathematics with Applications
Year:
2008

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Abstract

The numerical solution of nonlinear elliptic transport systems is considered. An outer-inner (damped inexact Newton plus PCG type) iteration is proposed for the finite element discretization of the problem, and mesh independent superlinear convergence is proved for both the outer and inner iterations. Numerical experiments are enclosed.