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

J. Karátson, Tamás Kurics

Research output: Contribution to journalArticle

1 Citation (Scopus)

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.

Original languageEnglish
Pages (from-to)641-653
Number of pages13
JournalMathematical Modelling and Analysis
Volume18
Issue number5
DOIs
Publication statusPublished - 2013

Fingerprint

Nonlinear Parabolic Systems
Air Pollution
Iterative Solution
Newton-Raphson method
Air pollution
Inexact Newton Methods
Preconditioned Conjugate Gradient
Finite Element Discretization
Preconditioning
Elliptic Operator
Modeling
Damped
Test Problems
Euler
Discretization
Iteration
Numerical Results

Keywords

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

ASJC Scopus subject areas

  • Analysis
  • Modelling and Simulation

Cite this

A Preconditioned Iterative Solution Scheme for Nonlinear Parabolic Systems Arising in Air Pollution Modeling. / Karátson, J.; Kurics, Tamás.

In: Mathematical Modelling and Analysis, Vol. 18, No. 5, 2013, p. 641-653.

Research output: Contribution to journalArticle

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