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Review of Large Scale Computing in Electromagnetics with Fast Integral Equation Solvers

W.C. Chew1, J.M. Song1, T.J. Cui1, S. Velamparambil1, M.L. Hastriter1, B. Hu1

Center for Computational Electromagnetics and Electromagnetics Laboratory University of Illinois Urbana, IL 61801

Computer Modeling in Engineering & Sciences 2004, 5(4), 361-372.


This paper reviews recent advances in large-scale computational electromagnetics using frequency domain integral equations. It gives a brief history of methods to solve Maxwell's equations, followed by a description of various historical ages in solution technique developments. Then it describes computational electromagnetics followed by a brief description of how fast integral equation solvers such as the multilevel fast multipole algorithm (MLFMA) is constructed using the tree network. Some examples of large scale computing using MLFMA are given. Ray physics used to further accelerate the speed of MLFMA. The parallel implementation of MLFMA in a code called ScaleME is reviewed, and some example calculations and scaling studies are given. Finally, we review the recent development of the fast inhomogeneous plane wave algorithm (FIPWA) for layered media for large scale computing.

Cite This Article

Chew, W., Song, J., Cui, T., Velamparambil, S., Hastriter, M. et al. (2004). Review of Large Scale Computing in Electromagnetics with Fast Integral Equation Solvers. CMES-Computer Modeling in Engineering & Sciences, 5(4), 361–372.

cc This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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