Steklov特征值问题的边界元近似

BOUNDARY ELEMENT APPROXIMATION OF STEKLOV EIGENVALUES

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．

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.