Effectiveness of approximate inverse preconditioning by using the MR algorithm on an origin 2400

Toshiyuki Tanaka, T. Nodera

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

Abstract

Numerical experiments are given for solving the discretized problems derived from the boundary value problems of partial differential equation (PDE) on the shared memory parallel machine Origin 2400 with 8 processors. In particular, several numerical results of two dimensional convection diffusion problems are reported. This paper presents a theoretical and a practical point of view that the preconditioner created by minimal residual (MR) algorithm is useful in improving the convergence of restarted GMRES(m) algorithm.

Original languageEnglish
Title of host publicationProceedings of the Third International Conference on Engineering Computational Technology
EditorsB.H.V. Topping, Z. Bittnar, B.H.V. Topping, Z. Bittnar
Pages115-116
Number of pages2
Publication statusPublished - 2002
EventProceedings of the Third International Conference on Engineering Computational Technology - Prague, Czech Republic
Duration: 2002 Sep 42002 Sep 6

Other

OtherProceedings of the Third International Conference on Engineering Computational Technology
CountryCzech Republic
CityPrague
Period02/9/402/9/6

Fingerprint

Boundary value problems
Partial differential equations
Data storage equipment
Experiments
Convection

Keywords

  • Approximate inverses
  • GMRES algorithm
  • Minimal residual algorithm
  • Preconditioning
  • Sparse linear systems
  • Threshold dropping strategies

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Tanaka, T., & Nodera, T. (2002). Effectiveness of approximate inverse preconditioning by using the MR algorithm on an origin 2400. In B. H. V. Topping, Z. Bittnar, B. H. V. Topping, & Z. Bittnar (Eds.), Proceedings of the Third International Conference on Engineering Computational Technology (pp. 115-116)

Effectiveness of approximate inverse preconditioning by using the MR algorithm on an origin 2400. / Tanaka, Toshiyuki; Nodera, T.

Proceedings of the Third International Conference on Engineering Computational Technology. ed. / B.H.V. Topping; Z. Bittnar; B.H.V. Topping; Z. Bittnar. 2002. p. 115-116.

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

Tanaka, T & Nodera, T 2002, Effectiveness of approximate inverse preconditioning by using the MR algorithm on an origin 2400. in BHV Topping, Z Bittnar, BHV Topping & Z Bittnar (eds), Proceedings of the Third International Conference on Engineering Computational Technology. pp. 115-116, Proceedings of the Third International Conference on Engineering Computational Technology, Prague, Czech Republic, 02/9/4.
Tanaka T, Nodera T. Effectiveness of approximate inverse preconditioning by using the MR algorithm on an origin 2400. In Topping BHV, Bittnar Z, Topping BHV, Bittnar Z, editors, Proceedings of the Third International Conference on Engineering Computational Technology. 2002. p. 115-116
Tanaka, Toshiyuki ; Nodera, T. / Effectiveness of approximate inverse preconditioning by using the MR algorithm on an origin 2400. Proceedings of the Third International Conference on Engineering Computational Technology. editor / B.H.V. Topping ; Z. Bittnar ; B.H.V. Topping ; Z. Bittnar. 2002. pp. 115-116
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