Solution of extremely large integral-equation problems
Author
Ergül, Özgür
Malas, Tahir
Gürel, Levent
Date
2007Source Title
Proceedings of the International Conference on Electromagnetics in Advanced Applications, IEEE 2007
Publisher
IEEE
Pages
970 - 973
Language
English
Type
Conference PaperItem Usage Stats
171
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119
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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.
Keywords
ElectromagnetismIntegral 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