| 求解混合型拟周期散射问题的间断Galerkin算法 |
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| 引用本文： | 栾天,王春艳,郭丽.求解混合型拟周期散射问题的间断Galerkin算法[J].吉林大学学报(理学版),2020,58(6):1366-1370. |
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| 作者姓名： | 栾天 王春艳 郭丽 |
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| 作者单位： | 北华大学 数学与统计学院, 吉林 吉林 132013 |
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| 基金项目： | 国家自然科学基金;吉林省科技厅项目;北华大学青年培育基金项目;北华大学横向课题;研究生创新项目 |
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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.
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| 关 键 词： | 间断Galerkin算法 拟周期散射 Rayleigh-Bloch展式 基本解 |
Discontinuous Galerkin Algorithm for Mixed Quasi-periodic Scattering Problem |
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| LUAN Tian,WANG Chunyan,GUO Li.Discontinuous Galerkin Algorithm for Mixed Quasi-periodic Scattering Problem[J].Journal of Jilin University: Sci Ed,2020,58(6):1366-1370. |
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| Authors: | LUAN Tian WANG Chunyan GUO Li |
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| Institution: | School of Mathematics and Statistics, Beihua University, Jilin 132013, Jilin Province, China |
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| Abstract: | 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. |
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| Keywords: | discontinuous Galerkin algorithm quasi-periodic scattering Rayleigh-Bloch expansion fundamental solution |
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