Parallel solution of the elastic-plastic problem using a tridiagonal algorithm for LU-decomposition from the ScaLAPACK library

Authors

  • Anatoliy Vladimirovich Konovalov Institute of Engineering Science UB RAS
  • Arseniy Vladimirovich Tolmachev Institute of Engineering Science UB RAS
  • Alexandr Sergeevich Partin Institute of Engineering Science UB RAS

DOI:

https://doi.org/10.7242/1999-6691/2011.4.4.37

Keywords:

elastic-plastic problem, parallel computing, ScaLAPACK

Abstract

The paper considers the parallel solution of the elastic-plastic problem using a tridiagonal LU-based solver from the ScaLAPACK library, including the solution of linear systems of equations. A brief description of the tridiagonal matrix algorithm is presented. The results of numerical experiments are given.

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References

Pozdeev A.A., Trusov P.V., Nasin U.I. Bol’sie uprugo-plasticeskie deformacii. - M.: Nauka, 1986. - 232 s.
Cleary A., Dongarra J. Implementation in ScaLAPACK of divide-and-conquer algorithms for banded and tridiagonal linear systems: Computer Science Dept. Technical Report CS-97-358, 1997 - URL: http://www.netlib.org/lapack/lawnspdf/lawn125.pdf (data obrasenia: 25.01.2011).
Arbenz P., Cleary A., Dongarra J., Hegland M.A. Comparison of parallel solvers for diagonally dominant and general narrow-banded linear systems // Tech. Report 312, ETH Zurich, Computer Science Dept, 1999 - URL: http://www.netlib.org/lapack/lawnspdf/lawn142.pdf (data obrasenia: 25.01.2011).
Blackford L.S., Choi J., Cleary A., D’Azeuedo E. et al. ScaLAPACK User’s Guide. Philadelphia, USA, Society for Industrial and Applied Mathematics, 1997. - URL: http://www.netlib.org/scalapack/slug (data obrasenia: 25.01.2011).
Kormen T.H., Lejzerson C.I., Rivest R.L., Stajn K. Algoritmy: postroenie i analiz. - M.: Vil’ams, 2005. - 1296 s.
Konovalov A.V. Opredelausie sootnosenia dla uprugoplasticeskoj sredy pri bol’sih plasticeskih deformaciah // Izv. RAN. MTT. - 1997. - No 5. - S. 139-147.

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Published

2011-12-01

Issue

Vol. 4 No. 4 (2011)

Section

Articles

License

Copyright (c) 2011 Computational Continuum Mechanics

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

Konovalov, A. V., Tolmachev, A. V., & Partin, A. S. (2011). Parallel solution of the elastic-plastic problem using a tridiagonal algorithm for LU-decomposition from the ScaLAPACK library. Computational Continuum Mechanics, 4(4), 34-41. https://doi.org/10.7242/1999-6691/2011.4.4.37