| 求解变系数非齐次亥姆霍茨方程的边界元迭代法 |
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| 引用本文： | 孟繁弘,王守信,庞显志.求解变系数非齐次亥姆霍茨方程的边界元迭代法[J].齐齐哈尔大学学报(自然科学版),1996(1). |
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| 作者姓名： | 孟繁弘 王守信 庞显志 |
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| 作者单位： | 齐齐哈尔轻工学院，东北重型机械学院，黑龙江省化工学校 |
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| 摘 要： | 本文利用拉普拉斯方程的基本解作为权函数，给出求解变系数非齐次亥姆霍茨方程的迭代格式，进而得到求解这一类方程的边界元迭代法。文中给出的算例表明，只须经过少数几次迭代，即可得到满意的结果。
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| 关 键 词： | 亥姆霍茨方程，迭代格式，边界元法 |
The Iteration Method of Boundaky Element Method for Solving the Nonhdmomogenous Helmholtz Equation with Variable Coefficient |
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| Meng Fanhong, Wang Shouxin.The Iteration Method of Boundaky Element Method for Solving the Nonhdmomogenous Helmholtz Equation with Variable Coefficient[J].Journal of Qiqihar University(Natural Science Edition),1996(1). |
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| Authors: | Meng Fanhong Wang Shouxin |
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| Institution: | Meng Fanhong; Wang Shouxin(Qiqihar Light industry Institute)(Northeast HeaVy Machinery institute)Pang Xianzhi(Heilongjiang Chemical school) |
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| Abstract: | Considering the fundamental solution of the laplace egUation as the weight function, we give the iteratije form for solving the nonhomogenous Helmholtz equation with variable coefficients, Furthermore, the iterative method of BEM for solving the equation method above is obtained. The numerical example in this Paper shows that the satisfying resulte can be obtained only by using a few iterative calculation. |
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| Keywords: | Helmholtz equation Iterative form Boundary element method |
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