Skip to main content
SpringerLink
Log in
Book cover

European Parallel Virtual Machine / Message Passing Interface Users’ Group Meeting

EuroPVM/MPI 1997: Recent Advances in Parallel Virtual Machine and Message Passing Interface pp 321–328Cite as

PVM-implementation of the PGC method with displacement decomposition

  • 5 Algorithms
  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1332))

Abstract

The paper describes a parallel solver based on the Preconditioned Conjugate Gradient Method and its testing on 3D finite element tasks of geomechanics. The parallelization makes use of separation of displacement components (Displacement Decomposition). Two preconditioning techniques are considered. The implementation is based on the message passing model and uses the PVM computing environment. Experience from test runs in on an IBM SP multicomputer is evaluated.

This is a preview of subscription content, log in via an institution.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Axelsson, O., Gustafsson, I.: Iterative Methods for the solution of the Navier equations of elasticity. Computer Methods in Applied Mechanics and Engineering 15 (1978) 241–258

    Article  Google Scholar 

  2. Blaheta, R.: Displacement decomposition — incomplete factorization preconditioning techniques for linear elasticity problems. Numerical Linear Algebra with Applications 1 (1994) 107–128

    Google Scholar 

  3. Blaheta, R., Kohut, R.: PCG-1 iterative solver. Institute of Geonics Cz. Acad. Sci., Ostrava, CR, (1995)

    Google Scholar 

  4. Geist, A. et al.: PVM: Parallel Virtual Machine — Users' Guide and Tutorial for Networked Parallel Computing. MIT Press, Cambridge, (1994)

    Google Scholar 

  5. Starý, J. 1996: Using PVM for Parallel Implementation of Preconditioned Conjugate Gradient Method. VŠB-Technical University, Ostrava, CR, (1996)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Geonics of the Czech Acad. Sci., Studentská 1768, 708 00, Ostrava - Poruba, Czech Republic

    Radim Blaheta & Ondřej Jakl

  2. VŠB - Technical University Ostrava, ul. 17. listopadu, 708 00, Ostrava - Poruba, Czech Republic

    Ondřej Jakl & Jiří Starý

Authors
  1. Radim Blaheta
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Ondřej Jakl
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Jiří Starý
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Marian Bubak Jack Dongarra Jerzy Waśniewski

Rights and permissions

Reprints and permissions

Copyright information

© 1997 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Blaheta, R., Jakl, O., Starý, J. (1997). PVM-implementation of the PGC method with displacement decomposition. In: Bubak, M., Dongarra, J., Waśniewski, J. (eds) Recent Advances in Parallel Virtual Machine and Message Passing Interface. EuroPVM/MPI 1997. Lecture Notes in Computer Science, vol 1332. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-63697-8_100

Download citation

  • DOI: https://doi.org/10.1007/3-540-63697-8_100

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63697-7

  • Online ISBN: 978-3-540-69629-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation