| MRM-BEM本征值计算中波数k初始值的预估算法 |
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| 引用本文： | 李纪三,王勇,刘文鑫. MRM-BEM本征值计算中波数k初始值的预估算法[J]. 计算物理, 2012, 29(3): 433-438 |
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| 作者姓名： | 李纪三 王勇 刘文鑫 |
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| 作者单位： | 1. 中国科学院电子学研究所中国科学院高功率微波源与技术重点实验室, 北京, 100190;2. 中国科学院研究生院, 北京, 100039 |
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| 摘 要： | 利用基于多重互易的边界元法计算二维声学谐振腔的本征值和本征频率.通过搜索包含未知波数k的高阶行列式值的0点,来确定系统的本征值.基于波的传播原理,提出一种波数k初始值的粗略估计算法.计算了几种模型的估计算法的效率.研究多重互易边界元法基本解的阶数对结果精度的影响,发现基本解至少采用七重互易结果才收敛.数值结果与解析解和文献符合的很好,证明了方法的有效性和可靠性.
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| 关 键 词： | 边界元 多重互易法 本征值 优化算法 |
| 收稿时间： | 2011-07-12 |
| 修稿时间： | 2011-12-06 |
An Optimization for Eigenvalue Problems with Multiple Reciprocity Boundary Element Method |
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| LI Jisan , WANG Yong , LIU Wenxin. An Optimization for Eigenvalue Problems with Multiple Reciprocity Boundary Element Method[J]. Chinese Journal of Computational Physics, 2012, 29(3): 433-438 |
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| Authors: | LI Jisan WANG Yong LIU Wenxin |
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| Affiliation: | 1. Key Laboratory of High Power Microwave Sources and Technologies, Institute of Electronics, Chinese Academy of Sciences, Beijing 100190, China;2. Graduate University of Chinese Academy of Sciences, Beijing 100139, China |
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| Abstract: | A boundary element method(BEM) based on multiple reciprocity method(MRM) is employed to solve eigenvalue and eigenfrequency of a two-dimensional linear acoustic cavity.By direct searching of the zero-points of determination of a matrix,we determine eigenfrequency of the system.An effective estimation for the first wave-number was suggested based on the principle of wave propagation.Estimation efficiency of several models is calculated.We evaluated fundamental solution’s order and found that more than seven reciprocity are needed.Numerical results agree well with analysis and other literature.Estimation for the first wave-number is effective and correct. |
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| Keywords: | MRM BEM eigenvalue optimization |
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