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基于相位提取基函数的高效区域分解方法

韩奎 聂在平 阙肖峰

电子科技大学学报2017,Vol.46Issue(4):520-524,5.
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

韩奎 1聂在平 1阙肖峰1

作者信息

  • 1. 电子科技大学电子工程学院 成都 611731
  • 折叠

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)

电子科技大学学报

OA北大核心CSCDCSTPCD

1001-0548

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