| 边界元通用大规模快速算法研究 |
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| 引用本文： | 王鹏,王海涛,于溯源. 边界元通用大规模快速算法研究[J]. 武汉理工大学学报(信息与管理工程版), 2010, 32(2): 178-181,185. DOI: 10.3963/j.issn.1007-144X.2010.02.003 |
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| 作者姓名： | 王鹏 王海涛 于溯源 |
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| 作者单位： | 清华大学,核能与新能源技术研究院,北京,100084 |
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| 摘 要： | 针对传统边界元法受计算效率的限制,不适合求解大规模问题的问题,将ACA(adaptive cross approximation)算法用于边界元法的大规模快速求解,分析使用ACA算法的边界元求解计算复杂度和求解流程,数值研究ACA算法的计算精度和适用的求解范围,并与其他算法比较.结果表明,ACA算法与传统求解算法相比,在求解效率上有数量级的提高,同时可以控制精度,能够在单台普通微机上完成大规模复杂结构的边界元数值仿真.
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| 关 键 词： | 边界元 ACA算法 大规模问题 声场 电磁场 |
Generally-purposed Large-scale Fast Algorithm for the Boundary Element Method |
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| WANG Peng,WANG Haitao,YU Suyuan Doctorial C,idate. Generally-purposed Large-scale Fast Algorithm for the Boundary Element Method[J]. Journal of Wuhan University of Technology(Information & Management Engineering), 2010, 32(2): 178-181,185. DOI: 10.3963/j.issn.1007-144X.2010.02.003 |
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| Authors: | WANG Peng WANG Haitao YU Suyuan Doctorial C idate |
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| Affiliation: | WANG Peng,WANG Haitao,YU Suyuan Doctorial C,idate,Institute of Nuclear , New Energy Technology,Tsinghua University,Beijing 100084,China. |
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| Abstract: | The boundary element method(BEM) has been widely used in the numerical simulation of the acoustic,electromagnetic and temperature fields.The conventional BEM is not suitable for large-scale problems because of the poor computational efficiency.In this paper,the Adaptive Cross Approximation(ACA) algorithm was introduced for the large-scale fast solution of the BEM.The computational complexity and performance procedure of the BEM solution by use of the ACA algorithm were analyzed, and the corresponding accura... |
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| Keywords: | boundary element Adaptive Cross Approximation large-scale acoustic field electro-magnetic field |
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