A case study in parallel scientific computing: The boundary element method on a distributed-memory multicomputer

Engineering Analysis with Boundary Elements

Volumn 18, Issue 3 SPEC. ISS., 1996, Pages 183-193

  Natarajan, R ^a   Krishnaswamy, D ^b  

^a IBM T J WATSON RESEARCH CENTER   (United States)

^b UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

Boundary element method; Distributed memory LU factorization; Laplace and Helmholtz equations

Indexed keywords

BOUNDARY ELEMENT METHOD; BOUNDARY VALUE PROBLEMS; COMPUTER SIMULATION; DISTRIBUTED COMPUTER SYSTEMS; LAPLACE TRANSFORMS; PROBLEM SOLVING;

DISTRIBUTED MEMORY MULTICOMPUTER; HELMHOLTZ EQUATIONS; LARGE MATRIX SYSTEMS; THREE DIMENSIONAL LAPLACE EQUATIONS;

PARALLEL PROCESSING SYSTEMS;

EID: 0030258242     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0955-7997(96)00047-1     Document Type: Article

References (21)

1. Banerjee, P. K. The Boundary Element Method in Engineering. McGraw-Hill, New York, 1994.
2. Brebbia, C. A., Telles, J. C. F. & Wrobel, L. C. Boundary Element Techniques: Theory and Applications in Engineering, McGraw-Hill, New York, 1984.
3. Atkinson, K. E. A Survey of Numerical Methods for the Solution of Fredholm Integral Equations of the Second Kind. SIAM, 1976.
4. Birkhoff, G. & Lynch, R. E. Numerical Solution of Elliptic Problems. SIAM Studies in Applied Mathematics, 1984.
5. Stunkel, C. B., Shea, D. G., Grice, D. G., Hochschild, P. H. & Tsao, M. The SP-1 high performance switch. IBM Research Report RC 19491, IBM T. J. Watson Research Center, 1993.
6. Bala, V., Bruck, J., Bryant, R., Cypher, R., deJong, P., Elustondo, P., Frye, D., Ho, A., Ho, C. T., Irwin, G., Kipnis, S., Lawrence, R. & Snir, M. An IBM external user interface for scalable parallel systems. Parallel Computing, 1994, 20, 445-62.
7. Atkinson, K. E. Users Guide to a Boundary Element Package for Solving Integral Equations on Piecewise Smooth Surfaces. Reports in Computational Mathematics No. 44., University of Iowa, Iowa City, 1993.
8. Barrett, R., Berry, M., Chan, T., Demmel, J., Donato, J., Dongarra, J., Eijkhout, V., Pozo, R., Romine, C. & van der Vorst, H. TEMPLATES for the Solution of Linear Systems: Building Blocks for Iterative Methods. SIAM, 1994.
9. Natarajan, R. The LINPACK benchmark on the IBM power Visualization System. IBM Research Report RC 17964, IBM T. J. Watson Research Center, 1992.
10. Choi, J., Dongarra, J. J., Pozo, R. & Walker, D. W. SCALAPACK: a scalable linear algebra library for distributed memory concurrent computers. Proceedings of the Fourth Symposium on the Frontiers of Massively Parallel Computation. IEEE Computer Society Press, 1992.
11. Van De Geijn, R. A. Massively parallel LINPACK benchmark on the Intel touchstone DELTA and iPSC/860 systems. Technical Report 91-28, Department of Computer Science, The University of Texas at Austin, 1992.
12. Womble, D. E., Greenberg, D. S., Wheat, S. R., Benner, R. E., Ingber, M., Henry, G. & Gupta, S. LU Factorization and the LINPACK benchmark on the Intel Paragon. SAND94-1566C, Sandia Laboratories, 1994.
13. Hochschild, P. EUIH: an experimental EUI implementation (unpublished manuscript), 1993.
14. Li, G. & Coleman, T. F. A parallel triangular solver for a distributed-memory multiprocessor. SIAM J. Sci. Stat. Comput., 1991, 9, 485.
15. Dongarra, J. J. & Walker, D. W. Software libraries for linear algebra computations on high performance computers. SIAM Review, 1995, 37, 151.
16. SYSNOISE Users Manual, Version 5.1. Numerical Integration Technologies, Ambachtenlaan, 11a, B-3001, Leuven, Belgium, 1993.
17. Burton, A. J. & Miller, G. F. The application of integral equation methods to the numerical solution of some exterior boundary value problems. Proc. R. Soc. Land. Ser. A, 1971, 323, 201.
18. Schenck, H. A. Improved integral formulation for acoustic radiation problems. J. Acoust. Soc. Amer., 1968, 44, 41.
19. Kane, J. H. Boundary element analysis on vector and parallel computers. Computing Systems in Engineering, 1994, 5, 239-52.
20. Geng, P., Oden, J. T. & Van De Geijn, R. A. Massively parallel computation for acoustical scattering problems using boundary element methods. TICAM Report 94-10, Texas Institute of Computational and Applied Mathematics, The University of Texas at Austin, 1994.
21. Womble, D. E., Greenberg, D. S., Wheat, S. R. & Benner, R. E. Applications of boundary methods on the Intel paragon. SAND94-1566C, Sandia Laboratories, 1994.