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High-Performance Computing for Finite Element Methods in Low-Frequency Electromagnetics

By Gary Bedrosian
Progress In Electromagnetics Research, Vol. 07, 57-110, 1993



Gary Bedrosian, "High-Performance Computing for Finite Element Methods in Low-Frequency Electromagnetics," Progress In Electromagnetics Research, Vol. 07, 57-110, 1993.


    1. Jackson, J. D., Classical Electrodynamics, New York: John Wiley & Sons, Inc., 1962.

    2. Konrad, A., "A differential equation formulation for radiation problems based on the continuity gauge instead of the Lorentz gauge," Digest of the 1986 IEEE AP-S International Symposium on Antennas and Propagation, Philadelphia, Pennsylvania, 915-918, June 8-13,1986.

    3. Barton, M. L. and Z. J. Cendes, "New vector finite elements for three-dimensional magnetic fields computations," Journal of Applied Physics, Vol. 61, No. 8, 3913-3921, 1987.

    4. Bossavit, A., "A rationale for 'edge-elements' in 3-D fields computations," IEEE Transactions on Magnetics, Vol. 24, No. 1, 74-49, January 1988.

    5. Bedrosian, G., M. V. K. Chari, M. Shah, and G. Theodossiou, "Axiperiodic finite element analysis of generator end regions Part I --- Theory," IEEE Transactions on Magnetics, Vol. 25, No. 4, 3067-3069, July 1989.

    6. Zienkiewicz, 0. C., The Finite Element Method in Engineering Science, London: McGraw-Hill, 1971.

    7., Webster's New Collegiate Dictionary, Springfield, Massachusetts: G. & C. Merriam Company, 1973.

    8. Graichen, C. M., A. F. Hathaway, P. M. Finnigan, A. Kela, and W. J. Schroeder, "A 3-D fully automated geometry-based finite element meshing system," Proceedings of the ASME 1989 Winter Meeting, San Francisco, California, 1989.

    9. George, A. and J. W. H. Liu, Computer Solution of Large Positive Definite Systems, Englewood Cliffs, New Jersey: Prentice-Hall Series in Computational Mathematics, 1981.

    10. Manteuffel, T. A., "The shifted incomplete Cholesky factorization,", SAND78-8226, Sandia Laboratories, May 1978.

    11. Agrawal, D. P., (ed.), Advanced Computer Architecture, IEEE Computer Society Press, 1986.

    12. Händler, W., "The impact of classification schemes on computer architecture," Proceedings of the 1977 International Conference on Parallel Processing, 7-15, (Reprinted in [11], 3-11).

    13. Duncan, R., "A survey of parallel computer architectures," Computer, Vol. 23, No. 2, 5-16, February 1990.

    14. Flynn, M., "Very high computing systems," Proceedings of the IEEE, Vol. 54, 1901-1909, 1966.

    15. Kung, H. T., "Why systolic arrays?," Computer, 37-46, January 1982, (Reprinted in [11], 300-309.

    16. Jordan, H. F., "Experience with pipelined multiple instruction streams," Proceedings of the IEEE, Vol. 72, 113-123, 1984.

    17. Bhuyan, L. N. and D. P. Agrawal, "Generalized hypercube and hyperbus structures for a computer network," IEEE Transactions on Computers, Vol. C-33, No. 1, 323-333, April 1984. (Reprinted [11], 207-217).

    18., "Sandia trio wins awards at Compcon," The Institute, News Supplement to IEEE Spectrum, Vol. 12, No. 5, May 8, 1988.

    19. Gottlieb, A., R. Grishman, C. P. Kruskal, K. P. McAuliffe, L. Rudolph, and M. Snir, "The NYU Ultracomputer --- designing an MIMD shared memory parallel computer," IEEE Transactions on Computers, Vol. C-32, No. 2, 175-189, February 1983.

    20. Carter, W. T., T.-L. Sham, and K. H. Law, "A parallel finite element method and its prototype implementation on a hypercube," Computers & Structures, Vol. 31, No. 6, 921-934, 1989.

    21. Hammond, S. W. and G. Bedrosian, "Solution of large, sparse, linear systems on systolic arrays,", General Electric Technical Information Series, 86CRD 166, GE corporate Research & Development, Schenectady, New York, October 1986.

    22. Grimes, J., L. Kohn, and R. Bharadhwaj, "The Intel i860 64-bit processor: a general-purpose CPU with 3D graphics capabilities," IEEE Computer Graphics and Applications, Vol. 9, No. 4, 85-94, July 1989.

    23. Chari, M. V. K. and P. P. Silvester (ed.), Finite Elements in Electrical and Magnetic Field Problems, New York: John Wiley & Sons, 1984.

    24. Misra, M., (ed.), IBM RISC System/6000 Technology, Austin: IBM Austin Communications Department, 1990.

    25. Bulfinch, T. and E. Blaisdell, Mythology: The Age of Fable, The Age of Chivalry, Legends of Charlemagne, New York: T.Y. Crowell Co., 1947, p. 124. (Popularly known as "Bulfinch's Mythology.").

    26. Bedrosian, G. and R. W. Benway, "Magnetostatic finite-element analysis on MIMDIDMMP parallel computers," Journal of Applied Physics, Vol. 73, No. 10, 6772-67777, May 15, 1993.