Stationary iteration methods for solving 3D electromagnetic scattering problems
作者：
Highlights：
• Stationary iterations constitute most efficient approach for numerical solution of VSIEs describing wave scattering by dielectric structures.
• A finite algorithm of finding optimal iteration parameter for arbitrary spectrum localization has been constructed.
• Sufficient conditions imposed on the domain of the spectrum localization have been obtained providing convergence of iterations.
• We have shown that if the operator spectrum is a circle on the complex plane, all iteration parameters are equal to GSI optimal iteration parameter.
• We have confirmed numerically that greater dimensions lead to increasing the memory volume rather than to improvement of convergence.
摘要
Highlights•Stationary iterations constitute most efficient approach for numerical solution of VSIEs describing wave scattering by dielectric structures.•A finite algorithm of finding optimal iteration parameter for arbitrary spectrum localization has been constructed.•Sufficient conditions imposed on the domain of the spectrum localization have been obtained providing convergence of iterations.•We have shown that if the operator spectrum is a circle on the complex plane, all iteration parameters are equal to GSI optimal iteration parameter.•We have confirmed numerically that greater dimensions lead to increasing the memory volume rather than to improvement of convergence.
论文关键词：Generalized Chebyshev iteration,Optimal iteration parameters,Localization of the spectrum,Volume singular integral equations
论文评审过程：Available online 10 August 2013.
论文官网地址：https://doi.org/10.1016/j.amc.2013.07.019
