Some superlinear PCG methods for discretized elliptic problems

J. Karátson, Tamás Kurics

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

Abstract

We consider the iterative solution of large linear systems arising from the discretization of nonsymmetric elliptic problems such as convection-diffusion equations. A preconditioned conjugate gradient (PCG) method is used, based on equivalent preconditioners, whereby a nonsymmetric preconditioning operator with constant coefficients is proposed. Our goal is to study the behaviour of convergence as convection is increasingly dominating. Mesh independent superlinear convergence is derived, and numerical experiments are enclosed.

Original languageEnglish
Title of host publicationAIP Conference Proceedings
Pages861-864
Number of pages4
Volume1148 2
DOIs
Publication statusPublished - 2009
Event6th International Conference on Computational Methods in Sciences and Engineering 2008, ICCMSE 2008 - Hersonissos, Crete, Greece
Duration: Sep 25 2008Sep 30 2008

Other

Other6th International Conference on Computational Methods in Sciences and Engineering 2008, ICCMSE 2008
CountryGreece
CityHersonissos, Crete
Period9/25/089/30/08

Fingerprint

conjugate gradient method
convection-diffusion equation
iterative solution
preconditioning
linear systems
mesh
convection
operators
coefficients

Keywords

  • convection-diffusion problem
  • elliptic equation
  • iterative methods

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Karátson, J., & Kurics, T. (2009). Some superlinear PCG methods for discretized elliptic problems. In AIP Conference Proceedings (Vol. 1148 2, pp. 861-864) https://doi.org/10.1063/1.3225452

Some superlinear PCG methods for discretized elliptic problems. / Karátson, J.; Kurics, Tamás.

AIP Conference Proceedings. Vol. 1148 2 2009. p. 861-864.

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

Karátson, J & Kurics, T 2009, Some superlinear PCG methods for discretized elliptic problems. in AIP Conference Proceedings. vol. 1148 2, pp. 861-864, 6th International Conference on Computational Methods in Sciences and Engineering 2008, ICCMSE 2008, Hersonissos, Crete, Greece, 9/25/08. https://doi.org/10.1063/1.3225452
Karátson J, Kurics T. Some superlinear PCG methods for discretized elliptic problems. In AIP Conference Proceedings. Vol. 1148 2. 2009. p. 861-864 https://doi.org/10.1063/1.3225452
Karátson, J. ; Kurics, Tamás. / Some superlinear PCG methods for discretized elliptic problems. AIP Conference Proceedings. Vol. 1148 2 2009. pp. 861-864
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