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Using multiple-precision arithmetic to prevent low-frequency breakdowns in the diagonalization of the green's function
Date
2014-08-28
Author
Ergül, Özgür Salih
Karaosmanoʇlu, B.
Metadata
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This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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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.
Subject Keywords
Composite structures
,
Addition theorem
,
Error analysis
,
Algorithm
,
MLFMA
,
Electromagnetics
,
Objects
URI
https://hdl.handle.net/11511/55826
Collections
Department of Electrical and Electronics Engineering, Conference / Seminar