A mesh independent superlinear algorithm for some nonlinear nonsymmetric elliptic systems

I. Antal, J. Karátson

Research output: Contribution to journalArticle

7 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)2185-2196
Number of pages12
JournalComputers and Mathematics with Applications
Volume55
Issue number10
DOIs
Publication statusPublished - May 1 2008

Keywords

  • Conjugate gradient method
  • Mesh independence
  • Nonlinear
  • Nonsymmetric elliptic systems
  • Superlinear convergence

ASJC Scopus subject areas

  • Modelling and Simulation
  • Computational Theory and Mathematics
  • Computational Mathematics

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