薄板特征值问题误差分析

Error analysis of plate eigenvalue problem

在对样条小波认真分析的基础上 ,建立了样条小波插值 ,讨论了样条小波插值的有关性质 ,分析了薄板特征值问题的重要特性 ,由 L ax- Milgram定理得出 a(ω,u) =λb(ω,u)的弱解存在且惟一 .在尺度函数有限元空间 Vh0 及样条小波有限元空间 Wh0 对板特征值问题进行了误差分析 .

On the basis of analysing spline wavelet, spline wavelet interpolation is established and their properties, including properties of elastic plate, are discussed with LaxMilgram′s theorem, the existence and uniqueness of a weak solution are proved of a(ω,u)=λb(ω,u). Both in the finite element space Vh_0 of scale function and in the space Wh_0 of spline wavelets, error analysis of eigenvalue problem is done and some satisfactory theoretical results have been obtained.