摘要
考虑二维椭圆型偏微分方程的数值解.针对多重网格方法中的延拓与限制算子具有的高通与低通滤波器特性,利用小波的多分辨分析性质,提出基于小波与多重网格方法相结合的数值求解方法.算法通用性强、自适应性能好,数值实验表明算法效率比经典多重网格方法有一定提高.
In this paper we consider solving two-dimensional elliptic partial differential equation （PDE） via orthogonal wavelet and multigrid methods. Using high and low pass filter properties of restriction and prolongation operator in multigrid method, and multiresolution analysis of wavelets, we propose a new method for solving PDE via orthogonal wavelet and muhigrid approach. This algorithm is commonly used and self-adaptive technique is used. The numerical exapmle she）ws that the efficecncy is improved comparing with that of classical muhigrid method.
出处
《长沙电力学院学报（自然科学版）》
2006年第3期62-65,共4页
JOurnal of Changsha University of electric Power:Natural Science
基金
国家自然科学基金(10171109
60573027)
关键词
多重网格
小波
偏微分方程数值解
multigrid
wavelet
numercial solution of partial differential equation
