Skip to main content
SpringerLink
Log in

Effectiveness of the Parallel Implementation of the FEM for the Problem of the Surface Waves Propagation

  • Conference paper
  • First Online:
Finite Difference Methods,Theory and Applications (FDM 2014)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9045))

Included in the following conference series:

  • 2555 Accesses

Abstract

In this paper effectiveness of several parallel implementations of the finite element method is investigated for an algorithm of a numerical solution of the boundary function problem for the shallow water equations. The parallel technologies MPI, OpenMP and MPI+OpenMP are used.

The work was supported by Russian Science Foundation (grant 14-11-00147).

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Marchuk, G.I., Kagan, B.A.: Dynamics of Ocean Tides. Leningrad, Gidrometizdat (1983)

    Google Scholar 

  2. Gill, A.E.: Atmosphere-Ocean Dynamics. Academic Press, New York (1982)

    Google Scholar 

  3. Kowalik, Z., Polyakov, I.: Tides in the Sea of Okhotsk. J. Phys. Oceanogr. 28(7), 1389–1409 (1998)

    Article  Google Scholar 

  4. Agoshkov, V.I.: Inverse problems of the mathematical theory of tides: boundary-function problem. Russ. J. Numer. Anal. Math. Modelling 20(1), 1–18 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  5. Kamenshchikov, L.P., Karepova, E.D., Shaidurov, V.V.: Simulation of surface waves in basins by the finite element method. Russ. J. Numer. Anal. Math. Model. 21(4), 305–320 (2006)

    Article  MATH  MathSciNet  Google Scholar 

  6. Ilin, V.P.: Methods and technologies of finite elements. ICMMG SB RAS Press, Novosibirsk (2007)

    Google Scholar 

  7. Choporov, S.: Parallel Computing Technologies in the Finite Element Method. In: Third International Conference “High Performance Computing” HPC-UA 2013, pp. 85–91. Kyiv (2013)

    Google Scholar 

  8. Vutov, Y.: Parallel incomplete factorization of 3D NC FEM elliptic systems. In: Boyanov, T., Dimova, S., Georgiev, K., Nikolov, G. (eds.) NMA 2006. LNCS, vol. 4310, pp. 114–121. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  9. Jimack, P.K., Touheed, N.: Developing parallel finite element soft-ware using MPI. In: High Performance Computing for Computational Mechanics, pp. 15–38 (2000)

    Google Scholar 

  10. Pantale, O.: Parallelization of an object-oriented FEM dynamics code: influence of the strategies on the Speedup. Adv. Eng. Softw. 36(6), 361–373 (2005)

    Article  Google Scholar 

  11. Mahinthakumar, G., Saied, F.: A hybrid MPI-openMP implementation of an implicit finite-element code on parallel architectures. Int. J. High Perform. Comput. Appl. 16(4), 371–393 (2002)

    Google Scholar 

  12. Vargas-Felix, M., Botello-Rionda, S.: Solution of finite element problems using hybrid parallelization with MPI and openMP. Acta Universitaria 22(7), 14–24 (2012)

    Google Scholar 

  13. Karepova, E., Dementyeva, E.: The numerical solution of the boundary function inverse problem for the tidal models. In: Dimov, I., Faragó, I., Vulkov, L. (eds.) NAA 2012. LNCS, vol. 8236, pp. 345–354. Springer, Heidelberg (2013)

    Chapter  Google Scholar 

  14. Dementeva, E., Karepova, E., Shaidurov, V.: Recovery of a boundary function by observation data in a problem for the shallow water model. AIP Conf. Proc. 1629, 373–380 (2014)

    Google Scholar 

  15. Hybrid cluster of SSCC SB RAS. Available via DIALOG. http://www2.sscc.ru/HKC-30T/HKC-30T.htm

  16. Gergel, V.P.: High-performance computing for the multicore multiprocessor systems. NNSU Publ, Nizhny Novgorod (2010)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Computational Modelling of SB RAS, Siberian Federal University, 660036, Akademgorodok, Krasnoyarsk, Russia

    Evgeniya Karepova & Ekaterina Dementyeva

Authors
  1. Evgeniya Karepova
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Ekaterina Dementyeva
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Evgeniya Karepova .

Editor information

Editors and Affiliations

  1. Bulgarian Academy of Sciences, Institute of Information and Communication Technologies, Sofia, Bulgaria

    Ivan Dimov

  2. Institue of Mathematics and MTA-ELTE Numerical Analysis and Large Networks Research Group, Eötvös Loránd University, Budapest, Hungary

    István Faragó

  3. University of Rousse, Rousse, Bulgaria

    Lubin Vulkov

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this paper

Cite this paper

Karepova, E., Dementyeva, E. (2015). Effectiveness of the Parallel Implementation of the FEM for the Problem of the Surface Waves Propagation. In: Dimov, I., Faragó, I., Vulkov, L. (eds) Finite Difference Methods,Theory and Applications. FDM 2014. Lecture Notes in Computer Science(), vol 9045. Springer, Cham. https://doi.org/10.1007/978-3-319-20239-6_24

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-20239-6_24

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-20238-9

  • Online ISBN: 978-3-319-20239-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation