PhotonIcs and Electromagnetics Research Symposium,
also known as Progress In Electromagnetics Research Symposium
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Published by The Electromagnetics Academy
Published: 2015-08-28
Using Multiple-precision Arithmetic to Prevent Low-frequency Breakdowns in the Diagonalization of the Green's Function
By
Özgür Ergül,
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    Özgür Ergül

    Middle East Technical University, Turkey

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Bariscan Karaosmanoglu
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    Bariscan Karaosmanoglu

    Middle East Technical University, Turkey

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Proceedings of 2015 Photonics & Electromagnetics Research Symposium, Prague, July 6 - 9，Page(s)2311-2315
Abstract
Multiple-precision arithmetic (MPA) is used to prevent low-frequency breakdowns in the diagonalization of the Green’s function that is required to implement the multilevel fast multipole algorithm (MLFMA). The breakdown problem is considered at a numerical level, where rounding errors are reduced by increasing the precision as much as required. Using MPA seems to provide a direct solution to low-frequency breakdowns of the standard diagonalization, which may lead to straightforward implementations of broadband MLFMA.
Citation
Özgür Ergül, and Bariscan Karaosmanoglu, "Using Multiple-precision Arithmetic to Prevent Low-frequency Breakdowns in the Diagonalization of the Green's Function," Proceedings of 2015 Photonics & Electromagnetics Research Symposium, Prague, July 6 - 9，Page(s)2311-2315
References

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