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Domain Decomposition Solvers for Large Scale Industrial Finite Element Problems

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Book cover Applied Parallel Computing. New Paradigms for HPC in Industry and Academia (PARA 2000)

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Abstract

The European research project PARASOL aimed to design and develop a public domain library of scalable sparse matrix solvers for distributed memory computers. Parallab was a partner in the project and developed a domain decomposition code for solving large scale finite element problems in a robust, yet efficient way. Although the PARASOL project finished in June 1999, Parallab has continued the development of the solver. In this paper, we report on the present status of the solver and show its performance on some challenging industrial problems.

This work has been partially supported by the PARASOL project (EU ESPRIT IV LTR Project 20160).

The work of this author has also been partially supported through the Polish Scien- tific Comittee research grant KBN 2P03A02116.

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References

  1. P. R. Amestoy, I. S. Duff, J.-Y. L’Excellent, and J. Koster. A fully asynchronous multifrontal solver using distributed dynamic scheduling. Technical Report RAL-TR-1999-059, Rutherford Appleton Laboratory, Chilton, Didcot, England, 1999. To appear in SIAM J. Matrix Anal. Appl.

    Google Scholar 

  2. P. R. Amestoy, I. S. Duff, J.-Y. L’Excellent, and J. Koster. MUMPS: a general purpose distributed memory sparse solver. In Proceedings of the PARA2000 Workshop on Applied Parallel Computing. Springer-Verlag, 2000. Lecture Notes in Computer Science.

    Google Scholar 

  3. P. E. Bjørstad and M. Dryja. A coarse space formulation with good parallel properties for an additive Schwarz domain decomposition algorithm. Submitted to Numerische Mathematik, 1999.

    Google Scholar 

  4. P. E. Bjørstad, M. Dryja, and E. Vainikko. Robust additive Schwarz methods on unstructured grids. In P. E. Bjffrstad, M. Espedal, and D. Keyes, editors, Domain Decomposition Methods in Sciences and Engineering. DDM.org, 1997. Ninth International Conference, Bergen, Norway.

    Google Scholar 

  5. P. E. Bjørstad, J. Koster, and P. Krzyżanowski. DD: a parallel domain decomposition solver for large scale industrial problems. User’s Guide 3.0. Technical report, Parallab, University of Bergen, Norway, August 2000. In preparation.

    Google Scholar 

  6. P. E. Bjørstad and P. Krzyżanowski. An eigenvector based two-level Neumann Neumann coarse space. Technical report, Warsaw University, Poland, May 2000.

    Google Scholar 

  7. Y.-H. De Roeck and P. Le Tallec. Analysis and test of a local domain decomposition preconditioner. In R. Glowinski, Y. Kuznetsov, G. Meurant, J. Périaux, and O. Widlund, editors, Fourth International Symposium on Domain Decomposition Methods for Partial Difierential Equations, pages 112–128. SIAM, 1991.

    Google Scholar 

  8. M. Dryja and O. B. Widlund. Schwarz methods of Neumann-Neumann type for three-dimensional elliptic _nite element problems. Comm. Pure Appl. Math., 48(2):121–155, 1995.

    Article  MATH  MathSciNet  Google Scholar 

  9. G. H. Golub and C. F. Van Loan. Matrix Computations. Johns Hopkins University Press, Baltimore, MD, 3rd edition, 1996.

    MATH  Google Scholar 

  10. P. Le Tallec, J. Mandel, and M. Vidrascu. Balancing domain decomposition for plates. In Domain Decomposition Methods in Scientific and Engineering Computing, University Park, 1993, pages 515–524. Amer. Math. Soc., Providence, 1994.

    Google Scholar 

  11. P. Le Tallec, J. Mandel, and M. Vidrascu. A Neumann-Neumann domain decomposition algorithm for solving plate and shell problems. SIAM J. Numer. Anal., 35(2):836–867, 1998.

    Article  MATH  MathSciNet  Google Scholar 

  12. J. Mandel. Balancing domain decomposition. Comm. Numer. Methods Engrg., 9(3):233–241, 1993.

    Article  MATH  MathSciNet  Google Scholar 

  13. J. Mandel and P. Krzyżanowski. Robust Balancing Domain Decomposition. August 1999. Presentation at The Fifth US National Congress on Computational Mechanics, University of Colorado at Boulder, CO.

    Google Scholar 

  14. B. F. Smith, P. E. Bjørstad, and W. D. Gropp. Domain Decomposition. Parallel Multilevel Methods for Elliptic Partial Difierential Equations. Cambridge University Press, Cambridge, 1996.

    Google Scholar 

  15. M. Vidrascu. Remarks on the implementation of the Generalised Neumann-Neumann algorithm. In C.-H. Lai, P. E. Bjørstad, M. Cross, and O. B. Widlund, editors, Domain Decomposition Methods in Sciences and Engineering. DDM.org, 1999. Eleventh International Conference, London, UK.

    Google Scholar 

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Bjørstad, P.E., Koster, J., Krzyżanowski, P. (2001). Domain Decomposition Solvers for Large Scale Industrial Finite Element Problems. In: Sørevik, T., Manne, F., Gebremedhin, A.H., Moe, R. (eds) Applied Parallel Computing. New Paradigms for HPC in Industry and Academia. PARA 2000. Lecture Notes in Computer Science, vol 1947. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-70734-4_44

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  • DOI: https://doi.org/10.1007/3-540-70734-4_44

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