Low-Frequency Fast Multipole Method Based on Multiple-Precision Arithmetic

Date

2014-01-01

Author

Ergül, Özgür Salih
Karaosmanoglu, Bariscan

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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

Collections

Department of Electrical and Electronics Engineering, Article