求解变系数非齐次亥姆霍茨方程的边界单元法

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求解变系数非齐次亥姆霍茨方程的边界单元法

王守信, 刘喜平, 彭天国, 赵忠生, 赵素华

文章导航 > 应用数学和力学 > 1996 > 17(1): 81-85

王守信, 刘喜平, 彭天国, 赵忠生, 赵素华. 求解变系数非齐次亥姆霍茨方程的边界单元法[J]. 应用数学和力学, 1996, 17(1): 81-85.

引用本文:

王守信, 刘喜平, 彭天国, 赵忠生, 赵素华. 求解变系数非齐次亥姆霍茨方程的边界单元法[J]. 应用数学和力学, 1996, 17(1): 81-85.

Wang Shouxin, Liu Xiping, Peng Tianguo, Zhao Zhongsheng, Zhao Suhua. The BEM for Solving the Nonhomogeneous Helmholtz Equation with Variable Coefficients[J]. Applied Mathematics and Mechanics, 1996, 17(1): 81-85.

Citation:

Wang Shouxin, Liu Xiping, Peng Tianguo, Zhao Zhongsheng, Zhao Suhua. The BEM for Solving the Nonhomogeneous Helmholtz Equation with Variable Coefficients[J]. Applied Mathematics and Mechanics, 1996, 17(1): 81-85.

王守信, 刘喜平, 彭天国, 赵忠生, 赵素华. 求解变系数非齐次亥姆霍茨方程的边界单元法[J]. 应用数学和力学, 1996, 17(1): 81-85.

引用本文:

王守信, 刘喜平, 彭天国, 赵忠生, 赵素华. 求解变系数非齐次亥姆霍茨方程的边界单元法[J]. 应用数学和力学, 1996, 17(1): 81-85.

Wang Shouxin, Liu Xiping, Peng Tianguo, Zhao Zhongsheng, Zhao Suhua. The BEM for Solving the Nonhomogeneous Helmholtz Equation with Variable Coefficients[J]. Applied Mathematics and Mechanics, 1996, 17(1): 81-85.

Citation:

Wang Shouxin, Liu Xiping, Peng Tianguo, Zhao Zhongsheng, Zhao Suhua. The BEM for Solving the Nonhomogeneous Helmholtz Equation with Variable Coefficients[J]. Applied Mathematics and Mechanics, 1996, 17(1): 81-85.

求解变系数非齐次亥姆霍茨方程的边界单元法

1.
东北重型机械学院, 齐齐哈尔161000;
2.
辽宁大学, 沈阳110036

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- 文章访问数: 1668
- HTML全文浏览量: 65
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出版历程
- 收稿日期: 1994-11-10
- 刊出日期: 1996-01-15

The BEM for Solving the Nonhomogeneous Helmholtz Equation with Variable Coefficients

1.
Northeast Heavg Machinery Institute, Qiqihaer 161000, Heilongjiang, P.R.China;
2.
Liaoning University, Shenyang 110036, P.R.China

摘要: 本文利用拉普拉斯方程的基本解作为权函数,给出求解交系数非齐次亥姆霍茨方程的迭代格式,进而得到求解这类方程的边界元迭代法。文中给出了算例。最后,把本文给出的边界元迭代法与作者早些时候提出的边界元耦合法进行了比较。
- 亥姆霍茨方程 /
- 迭代法 /
- 耦合法
Abstract: Considering the fundamental solution of the Laplace equation as the weight function,we give the iterative format for solving the nonhomogeneous Helmholtz equation with variable coefficients. Furthermore, the iteration method of BEM for solving the equation mentioned above is obtained. The numerical example is given in this paper. Finally, the iteration method of BUM mentioned above is compared with the coupled method of BEM that was presented before then by authors.
- Helmholtz equation /
- iteration method /
- coupled method

参考文献(1)

[1] 李忠元,《电磁场边界元素法》,北京工业学院出版社(1987).

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