Wavelet Galerkin Method Of Integral Operator Eigenvalue Problem For Groundwater Flow Problems

In the first chapter,we mainly introduce the application background and re-search status of the eigenvalue problems,and introduce the numerical methods and related literatures of the commonly used eigenvalue problems.In the second chap-ter,we mainly for rainfall on the dual medium spatial heterogeneity and spatial heterogeneity,localized anisotropy and conditional simulation,the factors influenc-ing the groundwater flow,describes the categories of groundwater flow model.In the third chapter,we are committed to studying the structure general wavelet theory and the structure of the multidimensional wavelet base.Multi-scale decomposition of the multidimensional simplex,and research generated by piecewise polynomial space theory,analysis of recursive subspace sequence structure,and construct the piece-wise linear wavelet in the unit triangle.In the fourth chapter,a fast wavelet Galerkin method is proposed for the in-tegral operator equation,and the corresponding matrix is truncated,which proves that the convergence order is optimal.