Parallel ICCG Solvers for a Finite-Element Eddy-Current Analysis on Heterogeneous Parallel Computation Environment
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Parallel ICCG Solvers for a Finite-Element Eddy-Current Analysis on Heterogeneous Parallel Computation Environment摘要
This paper investigates fast electromagnetic field analysis on parallel computers mutually integrated by means of Grid computing technology. To utilize the heterogeneous parallel computation environment, we introduce four parallelized ICCG solvers: the block ICCG, load-balanced block ICCG, algebraic block redblack ordering, and recursive reordering methods. These solvers are evaluated in a finite edge-element eddycurrent analysis on integrated parallel computers.
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参考
F. Berman, G. Fox, and A. Hey, The Grid: past,
present, future in Grid Computing. Ed. West Sussex:
John Wiley & Sons Ltd., pp. 9-50, 2003.
I. Foster and C. Kesselman, “The Globus project: a
status report,” Future Generation Computer Systems,
vol. 15, pp. 607-621, 1999.
N. T. Karonis, B. Toonen, and I. Foster, “MPICH-
G2: A Grid-enabled implementation of the Message
Passing Interface,” Journal of Parallel and
Distributed Computing, vol. 63, pp. 551-563, 2003.
J. Meijerink and H. A. van der Vorst, “An iterative
solution method for linear systems of which the
coefficient matrix is a symmetric M-matrix,”
Mathematics of Computation, vol. 31, pp. 148-162,
Y. Saad, Iterative Methods for Sparse Linear
Systems, Second ed., SIAM, Philadelphia, PA, 2003.
H. A. van der Vorst and T. F. Chan, “Parallel
Preconditioning for Sparse Linear Equations,”
ZAMM. Z. angew. Math. Mech., vol. 76, pp. 167-170,
T. Iwashita and M. Shimasaki, “Algebraic multi-
color ordering for parallelized ICCG solver in finite
element analyses,” IEEE Trans. Magn. , vol. 38, pp.
-432, 2002.
C. Vollaire and L. Nicolas, “Preconditioning
techniques for the conjugate gradient solver on a
parallel distributed memory computer,” IEEE Trans.
Magn., vol. 34, pp. 3347-3350, 1998.
T. Iwashita and M. Shimasaki, “Algebraic block red-
black ordering method for parallelized ICCG solver
with fast convergence and low communication
IWASHITA, SHIMASAKI, LU: PARALLEL ICCG SOLVERS FOR FEM EDDY-CURRENT ANALYSIS
costs,” IEEE Trans. Magn. , vol. 39, pp. 1713-1716,
T. Nakata, N. Takahashi, T. Imai, and K. Muramatsu,
“Comparison of various methods of analysis and
finite elements in 3-d magnetic field analysis,” IEEE
Trans. Magn., vol. 27, pp. 4073-4076, 1991.
