Solution of extremely large integral-equation problems

Date
2007
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Source Title
Proceedings of the International Conference on Electromagnetics in Advanced Applications, IEEE 2007
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Publisher
IEEE
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Pages
970 - 973
Language
English
Type
Conference Paper
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Abstract

We report the solution of extremely large integral-equation problems involving electromagnetic scattering from conducting bodies. By orchestrating diverse activities, such as the multilevel fast multipole algorithm, iterative methods, preconditioning techniques, and parallelization, we are able to solve scattering problems that are discretized with tens of millions of unknowns. Specifically, we report the solution of a closed geometry containing 42 million unknowns and an open geometry containing 20 million unknowns, which are the largest problems of their classes, to the best of our knowledge.

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Keywords
Electromagnetism, Integral equations, Magnetism, Numerical analysis, Parallel algorithms, Advanced applications, Conducting bodies, Electromagnetic scattering, International conferences, Multilevel fast multipole algorithm (MLFMA), Open geometry, Parallelization, Preconditioning techniques, Scattering problem (SP), Iterative methods
Citation
Published Version (Please cite this version)