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一种具有唯一解的边界元法计算三维声散射问题

高贵兵 张道兵 岳文辉 李善德

高贵兵, 张道兵, 岳文辉, 李善德. 一种具有唯一解的边界元法计算三维声散射问题[J]. 机械科学与技术, 2013, 32(8): 1172-1175.
引用本文: 高贵兵, 张道兵, 岳文辉, 李善德. 一种具有唯一解的边界元法计算三维声散射问题[J]. 机械科学与技术, 2013, 32(8): 1172-1175.
Gao Guibing, Zhang Daobing, Yue Wenhui, Li Shande. Computing Three-dimensional Acoustic Scattering Problems with Unique-solution Boundary Element Method[J]. Mechanical Science and Technology for Aerospace Engineering, 2013, 32(8): 1172-1175.
Citation: Gao Guibing, Zhang Daobing, Yue Wenhui, Li Shande. Computing Three-dimensional Acoustic Scattering Problems with Unique-solution Boundary Element Method[J]. Mechanical Science and Technology for Aerospace Engineering, 2013, 32(8): 1172-1175.

一种具有唯一解的边界元法计算三维声散射问题

基金项目: 

国家高科技支撑计划项目(863)(2012BAF02B01)

国家自然科学基金项目(51075142)资助

详细信息
    作者简介:

    高贵兵(1974-),博士,讲师,研究方向为边界元分析和有限元分析,gaoguibing@163.com

Computing Three-dimensional Acoustic Scattering Problems with Unique-solution Boundary Element Method

  • 摘要: 针对传统边界元法在求解外部声学问题时存在非唯一解的缺点,本文利用Burton-miller公式有效解决这一问题。对于Burton-miller公式引入的超奇异积分算子,采用奇异性减少技术进行弱奇异积分规划,有效避免了计算超奇异积分的困难,数值处理变得十分有效。此外,在算法中还采用有效的块对角预处理迭代求解器加速求解线性方程系统,全面提高算法的计算效率。数值算例验证了算法计算三维声散射问题的准确性、有效性及潜在的工程应用价值。
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  • 收稿日期:  2012-07-21

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