Differential operator acting on accelerated Cartesian expansion algorithm
| Autor: | Miao-miao Jia, Yanwen Zhao, Qiang-Ming Cai, Zaiping Nie, Yuteng Zheng |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Electromagnetics
Truncation error (numerical integration) 020206 networking & telecommunications 010103 numerical & computational mathematics 02 engineering and technology Electric-field integral equation Differential operator 01 natural sciences Hybrid algorithm Integral equation law.invention law 0202 electrical engineering electronic engineering information engineering Cartesian coordinate system 0101 mathematics Electrical and Electronic Engineering Multipole expansion Algorithm Mathematics |
| Zdroj: | IET Microwaves, Antennas & Propagation. 11:570-576 |
| ISSN: | 1751-8733 |
| DOI: | 10.1049/iet-map.2016.0592 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Plný text