Reduced-basis boundary element method for fast electromagnetic field computation

被引：5
|
作者：
Shi, Yating [1 ]
Chen, Xiuguo [1 ]
Tan, Yinyin [1 ]
Jiang, Hao [1 ]
Liu, Shiyuan [1 ]
机构：
[1] Huazhong Univ Sci & Technol, State Key Lab Digital Mfg Equipment & Technol, Wuhan 430074, Hubei, Peoples R China
来源：
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION | 2017年 / 34卷 / 12期
基金：
中国国家自然科学基金;
关键词：
POSTERIORI ERROR ESTIMATION; EMPIRICAL INTERPOLATION; SCATTERING; FORMULATION; OPTIMIZATION; EQUATIONS; 3-D; SET;
D O I：
10.1364/JOSAA.34.002231
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
In this work, we combine conventional boundary element method (BEM) with the reduced-basis method (RBM) and propose a reduced-basis boundary element method (RB-BEM) to realize efficient modeling for parameterized electromagnetic scattering problems of dielectric scatterers. The RB-BEM allows for splitting the modeling process into a parameter-independent offline part and parameter-dependent online part, and replacing the high-dimensional original model obtained by conventional BEM with a low-dimensional reduced-basis model to improve computational efficiency of the online part. We also propose an improved greedy algorithm based on multi-grid to improve the computational efficiency of the offline part. The numerical experiments indicate that the efficiency of the improved greedy algorithm is several times higher than that of the standard one, and the solving efficiency of the reduced-basis model is several times to dozens of times higher than that of the original model with a prescribed approximation accuracy. (C) 2017 Optical Society of America
引用
收藏
页码：2231 / 2242
页数：12
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