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

Ergül, Özgür Salih
Karaosmanoglu, Bariscan
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.

Citation Formats
Ö. S. Ergül and B. Karaosmanoglu, “Low-Frequency Fast Multipole Method Based on Multiple-Precision Arithmetic,” IEEE ANTENNAS AND WIRELESS PROPAGATION LETTERS, vol. 13, pp. 975–978, 2014, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/38842.