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Accurate Solutions of Extremely Large Integral-Equation Problems in Computational Electromagnetics
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Date
2013-02-01
Author
Ergül, Özgür Salih
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Accurate simulations of real-life electromagnetics problems with integral equations require the solution of dense matrix equations involving millions of unknowns. Solutions of these extremely large problems cannot be achieved easily, even when using the most powerful computers with state-of-the-art technology. However, with the multilevel fast multipole algorithm (MLFMA) and parallel MLFMA, we have been able to obtain full-wave solutions of scattering problems discretized with hundreds of millions of unknowns. Some of the complicated real-life problems (such as scattering from a realistic aircraft) involve geometries that are larger than 1000 wavelengths. Accurate solutions of such problems can be used as benchmarking data for many purposes and even as reference data for high-frequency techniques. Solutions of extremely large canonical benchmark problems involving sphere and National Aeronautics and Space Administration (NASA) Almond geometries are presented, in addition to the solution of complicated objects, such as the Flamme. The parallel implementation is also extended to solve very large dielectric problems, such as dielectric lenses and photonic crystals.
Subject Keywords
Computational electromagnetics
,
İterative solutions
,
Large-scale problems
,
Multilevel fast multipole algorithm (MLFMA)
,
Parallelization
,
Surface integral equations
URI
https://hdl.handle.net/11511/47686
Journal
PROCEEDINGS OF THE IEEE
DOI
https://doi.org/10.1109/jproc.2012.2204429
Collections
Department of Electrical and Electronics Engineering, Article
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Ö. S. Ergül, “Accurate Solutions of Extremely Large Integral-Equation Problems in Computational Electromagnetics,”
PROCEEDINGS OF THE IEEE
, pp. 342–349, 2013, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/47686.