On superlinear PCG methods for FDM discretizations of convection-Diffusion equations

János Karátson, Tamás Kurics

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The numerical solution of linear convection-diffusion equations is considered. Finite difference discretization leads to an algebraic system solved by a suitable preconditioned CG method, where the preconditioning approach is based on equivalent operators. Our goal is to study the superlinear convergence of the preconditioned CG iteration and to find mesh independent behaviour on a model problem. This is an analogue of previous results where FEM discretization was used.

Original languageEnglish
Title of host publicationNumerical Analysis and Its Applications - 4th International Conference, NAA 2008, Revised Selected Papers
Pages345-352
Number of pages8
DOIs
Publication statusPublished - Jul 20 2009
Event4th International Conference on Numerical Analysis and Its Applications, NAA 2008 - Lozenetz, Bulgaria
Duration: Jun 16 2008Jun 20 2008

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume5434 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other4th International Conference on Numerical Analysis and Its Applications, NAA 2008
CountryBulgaria
CityLozenetz
Period6/16/086/20/08

    Fingerprint

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

Cite this

Karátson, J., & Kurics, T. (2009). On superlinear PCG methods for FDM discretizations of convection-Diffusion equations. In Numerical Analysis and Its Applications - 4th International Conference, NAA 2008, Revised Selected Papers (pp. 345-352). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 5434 LNCS). https://doi.org/10.1007/978-3-642-00464-3-38