Premium
Fast directional multilevel algorithm combined with Calderon multiplicative preconditioner for stable electromagnetic scattering analysis
Author(s) -
Chen H.,
Zhu J.,
Chen R. S.,
Fan Z.H.
Publication year - 2010
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.25421
Subject(s) - preconditioner , discretization , algorithm , multipole expansion , radar cross section , iterative method , integral equation , convergence (economics) , kernel (algebra) , fast multipole method , method of moments (probability theory) , computational electromagnetics , computer science , mathematics , mathematical analysis , electromagnetic field , radar , physics , telecommunications , discrete mathematics , statistics , quantum mechanics , estimator , economics , economic growth
In this article, a new method called fast directional multilevel algorithm (FDMA) is proposed for three‐dimensional electromagnetic problems. Combined with the Caldron identities of Calderon multiplicative preconditioner (CMP), the new algorithm has a fast convergence rate of iterative solvers and is stable at low frequency for the electrical field integral equation solutions. Like the fast multipole method, octree structure is used in our proposed algorithm. However, the new algorithm does not require the implementation of multipole expansions of the Green's function but based only on kernel evaluations. It does not suffer from low‐frequency breakdown when the discretization density is high. The numerical results demonstrate that the CMP‐preconditioned FDMA leads to significant reduction of both the iteration number and the computer processing use (CPU) time for radar cross section (RCS) calculation. © 2010 Wiley Periodicals, Inc. Microwave Opt Technol Lett 52: 1963–1969, 2010; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.25421