A Preconditioned Iterative Solution Scheme for Nonlinear Parabolic Systems Arising in Air Pollution Modeling

János Karátson, Tamás Kurics

Research output: Contribution to journalArticle

3 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)641-653
Number of pages13
JournalMathematical Modelling and Analysis
Issue number5
Publication statusPublished - Dec 30 2013



  • Newton's method
  • air pollution models
  • inner-outer iteration
  • nonlinear parabolic transport systems

ASJC Scopus subject areas

  • Analysis
  • Modelling and Simulation

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