Differential operator acting on accelerated Cartesian expansion algorithm. Issue 4 (13th January 2017)

• Record Type: Journal Article
• Authors: Zheng, Yuteng; Zhao, Yanwen; Cai, Qiangming; Jia, Miaomiao; Nie, Zaiping
• Is Part Of: IET microwaves, antennas & propagation. Volume 11:Issue 4(2017)
• Page Start: 570
• Page End: 576
• Publication Date: 2017-01-13
• Subjects: integral equations; differential operator -- multilevel accelerated Cartesian expansion algorithm -- MLACEA -- multilevel fast multipole algorithm -- MLFMA -- truncation error -- accelerated Cartesian expansion -- ACE -- differential operators -- electric field integral equation; Microwaves -- Periodicals; Microwave antennas -- Periodicals; Antennas (Electronics) -- Periodicals; Radio wave propagation -- Periodicals; Microwave communication systems -- Periodicals; 621.381305
• DOI: 10.1049/iet-map.2016.0592
• Languages: English
• ISSNs: 1751-8725

Abstract

Abstract : The multilevel accelerated Cartesian expansion algorithm (MLACEA) and its incorporation with multilevel fast multipole algorithm (MLFMA) have been studied and used for solving practical problems. The algorithms are successful, but the authors found the truncation error of accelerated Cartesian expansion (ACE) is sensitive with the differential operator. Integral equations in electromagnetics always contain differential operators, so the precision will be influenced when trying to accelerate the method of moments with MLACE algorithm. The reason of why differential operator can influence the precision of the ACE is given, and also proved by numerical experimentation. To meet the requirements of piratical application, electric field integral equation is deeply investigated. The studies also extend to the hybrid algorithm MLFMA–MLACEA and performances are tested on different implementation.