A preconditioned iterative solution scheme for nonlinear parabolic systems arising in air pollution modeling

Karátson, János and Kurics, Tamás (2013) A preconditioned iterative solution scheme for nonlinear parabolic systems arising in air pollution modeling. MATHEMATICAL MODELLING AND ANALYSIS, 18 (5). pp. 641-653. ISSN 1392-6292

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Abstract

A preconditioned iterative solution method is presented for nonlinear parabolic transport systems. The ingredients are implicit Euler discretization in time and finite element discretization in space, then an outer-inner (outer damped inexact Newton method with inner preconditioned conjugate gradient) iteration, further, as a main part, preconditioning via an l-tuple of independent elliptic operators. Numerical results show that the suggested method works properly for a test problem in air pollution modeling.

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