求解混合型拟周期散射问题的间断Galerkin算法  

Discontinuous Galerkin Algorithm for Mixed Quasi-periodic Scattering Problem

作　　者：栾天[1] 王春艳 郭丽[1] LUAN Tian;WANG Chunyan;GUO Li(School of Mathematics and Statistics,Beihua University,Jilin 132013,Jilin Province,China)

机构地区：[1]北华大学数学与统计学院,吉林吉林132013

出　　处：《吉林大学学报（理学版）》2020年第6期1366-1370,共5页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11701013);吉林省科技厅项目(批准号:20160101264JC);北华大学研究生创新项目(批准号:2019005);北华大学横向课题项目(批准号:201901003);北华大学青年培育基金(批准号:2017QNJJL12)。

摘　　要：应用间断Galerkin算法思想,计算一类散射体为介质和障碍混合型的拟周期散射问题,其基本解函数和Rayleigh-Bloch展式分别用于近似散射场在有界区域和无界区域的性态.数值算例检验了算法的有效性.Using the idea of the discontinuous Galerkin algorithm,we calculated a class of quasi-periodic scattering problem with a mixture of media and obstacles.The fundamental solution functions and Rayleigh-Bloch expansion were used to approximate behavior of the scattering field in the bounded regions and unbounded regions,respectively.The effectiveness of the algorithm was verified by numerical example.

关 键 词：间断Galerkin算法 拟周期散射 Rayleigh-Bloch展式 基本解 

分 类 号：O241.82[理学—计算数学]