多维区域上椭圆型方程Dirichlet问题的勒让德多小波多层扩充算法  

Multilevel Augmentation Method for Dirichlet Problem of Multidimensional Elliptic Equations Using Legendre Multiwavelets

作　　者：周小林[1] 

机构地区：[1]厦门大学嘉庚学院信息科学与技术学院,福建招商局漳州开发区363105

出　　处：《数学年刊（A辑）》2015年第3期257-264,共8页Chinese Annals of Mathematics

摘　　要：用小波伽辽金方法求解多维区域上椭圆型方程齐次Dirichlet问题,构造了近似解空间的两个等价的勒让德多小波基,使得快速求解离散后的线性方程组的多层扩充算法得以实现.数值算例表明该算法是有效的.The Wavelet-Galerkin method is applied to solve the Dirichlet problem of higher dimensional elliptic equations. Two equivalent multiwavelet bases are constructed so that the resulting linear system of equations can be solved efficiently by the multilevel augmentation method. Numerical experiments show that this algorithm is efficient.

关 键 词：小波伽辽金方法 勒让德多小波 多层扩充算法 

分 类 号：O241.8[理学—计算数学]