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求解混合型拟周期散射问题的间断Galerkin算法 被引量:1

Discontinuous Galerkin Algorithm for Mixed Quasi-periodic Scattering Problem
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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.
作者 栾天 王春艳 郭丽 LUAN Tian;WANG Chunyan;GUO Li(School of Mathematics and Statistics,Beihua University,Jilin 132013,Jilin Province,China)
出处 《吉林大学学报(理学版)》 CAS 北大核心 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)。
关键词 间断Galerkin算法 拟周期散射 Rayleigh-Bloch展式 基本解 discontinuous Galerkin algorithm quasi-periodic scattering Rayleigh-Bloch expansion fundamental solution
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