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Parallel implementation of the boundary element method for linear elastic problems on a MIMD parallel computer

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Abstract

The parallel implementation of the boundary element method (BEM) for linear elastic 2D-problems on a MIMD parallel computer is treated. The parallelization is performed by data decomposition. The use of collocation method leads to a non-symmetric system of linear equations which is solved by direct or iterative methods. Focusing on the parallel implementation, these solvers are compared with respect to their efficiency using a Parsytec MultiCluster2 with 32 T805 transputers.

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References

  • Bader, G. Gehrke, E. 1991: On the performance of transputer networks for solving linear systems of equations, Parallel Computing, 17: 1397–1407

    Google Scholar 

  • Brebbia, C. A., Telles, J. C. F., Wrobel, L.C. 1984: Boundary Element Techniques, Berlin, Heidelberg, New York: Springer-Verlag

    Google Scholar 

  • Ciskowski, R. D., Sonnad, V., Ke-jun, Xie 1991: Parallel implementation on the ICAP/3090 of a BEM formulation for fractional operator modeled viscoelastodynamic structures, Engineering Analysis with Boundary Elements, 8, No. 8(5): 252–257

    Google Scholar 

  • Fletcher, R. 1976: Conjugate Gradient Methods for Indefinite Systems. Lecture Notes in Mathematics 506, Springer, Berlin, Heidelberg, New York, pp. 142–156

    Google Scholar 

  • Golub, G. H., van Loan, C. F. 1989: Matrix Computations, John Hopkins University Press

  • Inmos 1988: OCCAM 2 Reference Manual, Prentice Hall

  • Haase, G., Langer, U., Meyer, A. 1990: A new approach to the Dirichlet domain decomposition method, Proc. “5th Multigrid Seminar”, R-MATH-09/90, Karl-Weierstraß-Institut für Mathematik, Berlin

    Google Scholar 

  • Parsytec 1992: PARIX Software Documentation, Parsytec

  • Patran 1990: Patran Plus User Manual, Release 2.4, Publ. No. 2191024.

  • Parsec 1990 Par. C System, Parsec

  • Perihelion 1990: Helios C Manual, Perihelion

  • Sonneveld, P. 1989: CGS: a fast Lanczos-type solver for nonsymmetric linear systems, SIAM J. Sci. Statist. Comput., 10: 36–52

    Google Scholar 

  • van der Vorst, H. A. 1992: BI-CGSTAB: A Fast and Smoothly Converging Variant of BI-CG for the solution of Nonsymmetric Linear Systems, SIAM J. Sci. Statist. Comput. 13: 631–640

    Google Scholar 

  • Wu, T. W., Ciskowski, R. D., Seybert, A. F. 1992: Vectorization and parallelization of the acoustic boundary elem code BEMAP on the IBM ES/3090 VF, Engineering Analysis with Boundary Elements, 10: 17–26

    Google Scholar 

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Authors and Affiliations

  1. Institut für Baumechanik und Numerische Mechanik, University of Hannover, Appelstr, 9A, 30167, Hannover, Germany

    M. Kreienmeyer & E. Stein

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  1. M. Kreienmeyer
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  2. E. Stein
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Communicated by H. Antes and T. A. Cruse, 7 July 1994

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Kreienmeyer, M., Stein, E. Parallel implementation of the boundary element method for linear elastic problems on a MIMD parallel computer. Computational Mechanics 15, 342–349 (1995). https://doi.org/10.1007/BF00372272

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