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

Erguel O., Karaosmanoglu B.

IEEE ANTENNAS AND WIRELESS PROPAGATION LETTERS, vol.13, pp.975-978, 2014 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 13
  • Publication Date: 2014
  • Doi Number: 10.1109/lawp.2014.2323211
  • Journal Name: IEEE ANTENNAS AND WIRELESS PROPAGATION LETTERS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.975-978
  • Keywords: Diagonalization, fast multipole method, low-frequency breakdown, multiple-precision arithmetic, ALGORITHM, MLFMA
  • Middle East Technical University Affiliated: Yes

Abstract

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.