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

Erguel O., Karaosmanoglu B.

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

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1109/lawp.2014.2323211
  • Dergi Adı: IEEE ANTENNAS AND WIRELESS PROPAGATION LETTERS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.975-978
  • Anahtar Kelimeler: Diagonalization, fast multipole method, low-frequency breakdown, multiple-precision arithmetic, ALGORITHM, MLFMA
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

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.