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Low-Frequency Fast Multipole Method Based on Multiple-Precision Arithmetic
Date
2014-01-01
Author
Ergül, Özgür Salih
Karaosmanoglu, Bariscan
Metadata
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This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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We present a low-frequency fast multipole method for the solution of three-dimensional electromagnetic problems involving small objects and their dense discretizations with respect to wavelength. The diagonalization of the Green's function is stabilized using a multiple-precision arithmetic (MPA) for accurate and efficient computations of subwavelength interactions. MPA provides a direct remedy for the low-frequency breakdown of the standard diagonalization based on plane waves, and it enables straightforward implementations for low-frequency problems.
Subject Keywords
Multiple-precision arithmetic
,
Low-frequency breakdown
,
Fast multipole method
,
Diagonalization
URI
https://hdl.handle.net/11511/38842
Journal
IEEE ANTENNAS AND WIRELESS PROPAGATION LETTERS
DOI
https://doi.org/10.1109/lawp.2014.2323211
Collections
Department of Electrical and Electronics Engineering, Article