电子科技大学学报2017,Vol.46Issue(4):520-524,5.DOI:10.3969/j.issn.1001-0548.2017.04.007
基于相位提取基函数的高效区域分解方法
An Efficient Domain Decomposition Method Using Phase Extracted Basis Functions
摘要
Abstract
To further improve the ability of analyzing electromagnetic scattering from electrically large perfect electric conducting objects, an efficient domain decomposition method is presented. In this method, the approximated current density is expanded with the phase-extracted basis functions defined over curvilinear triangular patches, and the number of unknowns to be solved is significantly reduced. Meanwhile, to further reduce the memory requirement, the original problem domain is divided into a number of small overlapped sub-domains and the sub-domain problems are solved one by one. In addition, the buffer regions introduced in this method are limited to only a single layer of jagged triangular mesh cells whose edges are about half a wavelength long, leading to a simplified construction process of buffer zones as well as a smaller number of additional variables to be solved. A good convergence behavior is observed. The multilevel fast multipole algorithm is applied to accelerate the matrix-vector products. Numerical examples are given to show the efficiency and robustness of the proposed approach.关键词
区域分解方法/电大尺寸/电磁散射/多层快速多极子方法/相位提取基函数Key words
domain decomposition method/electrically large object/electromagnetic scattering/multilevel fast multipole algorithm/phase-extracted basis function分类
信息技术与安全科学引用本文复制引用
韩奎,聂在平,阙肖峰..基于相位提取基函数的高效区域分解方法[J].电子科技大学学报,2017,46(4):520-524,5.基金项目
国家自然科学基金(61231001,61490695) (61231001,61490695)