小波-伽辽金有限元法及其在电磁场数值计算中的应用  

WAVELET GALERKIN METHOD FOR THE NUMERICAL CALCULATION OF ELECTROMAGNETIC FIELDS

作　　者：杨仕友[1] 倪光正[1] 

机构地区：[1]浙江大学电机工程系

出　　处：《中国电机工程学报》1999年第1期56-61,共6页Proceedings of the CSEE

摘　　要：在分析国内外的研究现状，综合前人工作的基础上，将一般紧支集正交小波应用于电磁场的数值分析和计算。首先，导出了适用于含多种媒质边值问题数值计算的小波－伽辽金有限元模型，然后给出了一种新的处理一般边界条件的通用方法，最后提出了小波－伽辽金有限元法中任意点关联系数值精确的时域计算方法。计算实例表明：与现有其它有限元类算法相比较，文中算法具有数值解精度高、剖分简便、灵活，并能提供整体任意给定精度分层解等优点。A Wavelet Galerkin method for numerical calculations of electromagnetic fields is presented using the compactly supported wavelets as the trial functions.The details about the discretization process of 2D electromagnetic problems with abitrary first of boundary conditions are discussed,a general approach on boundary conditions is introduced,and a general approach to deal with arbitrary boundary conditions,as well as an exact numerical algorithm for the computation of connection coefficients on a bounded interval,is derived.Numerical results show that the present method is a strong contender to the well established FEM.

关 键 词：有限元法 小波-伽辽金法 电磁场 数值计算 

分 类 号：O242.21[理学—计算数学] TM153.1[理学—数学]