| Steklov特征值问题的边界元近似 |
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| 引用本文： | 韩厚德 关治. Steklov特征值问题的边界元近似[J]. 高校应用数学学报(A辑), 1994, 0(2): 128-135 |
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| 作者姓名： | 韩厚德 关治 |
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| 作者单位： | 清华大学 |
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| 摘 要： | 本文将Ｌａｐｌａｃｅ算子的Ｓｔｅｋｌｏｖ特征值问题归化为一个边界变分问题，从而使原问题的空间维数降低了一维，基于此变分问题给出了Ｓｔｅｋｌｏｖ特征值问题的边界元近似解，计算实例表明此方法是十分有效的。
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| 关 键 词： | Sleklov 特征问题 边界元 近似解 |
BOUNDARY ELEMENT APPROXIMATION OF STEKLOV EIGENVALUES |
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| Han Houde,Guan Zhi,He Bin. BOUNDARY ELEMENT APPROXIMATION OF STEKLOV EIGENVALUES[J]. Applied Mathematics A Journal of Chinese Universities, 1994, 0(2): 128-135 |
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| Authors: | Han Houde Guan Zhi He Bin |
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| Abstract: | We present a method which reduces the Steklov eigenvalue problem of Laplace operator to a boundary variational problem,such that the dimension of prime problem is decreased.Then we derive a boundary element method of the Steklov eigenvalue prohlem based on the boundary variational problem.The numerical example has shown that this method is very effective. |
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| Keywords: | Steklov Eigenvalue Problem Boundary Variational Problem Boundary Element Approximation. |
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