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.
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.
出处
《高校应用数学学报(A辑)》
CSCD
北大核心
1994年第2期128-135,共8页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
基金
国家自然科学基金
关键词
Sleklov
特征问题
边界元
近似解
Steklov Eigenvalue Problem
Boundary Variational Problem
Boundary Element Approximation.