| 双正交样条小波Petrov-Galerkin法在静电场的应用 |
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| 引用本文： | 钟秋平,丁宣浩,韦晓静.双正交样条小波Petrov-Galerkin法在静电场的应用[J].云南民族大学学报(自然科学版),2010,19(6). |
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| 作者姓名： | 钟秋平 丁宣浩 韦晓静 |
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| 作者单位： | 桂林电子科技大学,数学与计算科学学院,广西,桂林,541004 |
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| 基金项目： | 国家自然科学基金(10871217、10861005) |
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| 摘 要： | 以张量积形式构造高维双正交样条小波,结合Petrov-Galerkin方法应用于静电场的计算问题.使用小波函数特有的细分关系准确地计算小波积分,双正交样条小波的正交性和紧支性加快了计算速度.并采用添加外小波法降低了边界截断引起的误差.数值算例表明此方法具有求解精度高、计算速度快和单元数量少等优点.
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| 关 键 词： | 双正交样条小波 小波Petrov-Galerkin法 静电场 |
Application of Biorthogonal Spline Wavelet Petrov-Galerkin Method to the Electrostatic Field |
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| ZHONG Qiu-ping,DING Xuan-hao,WEI Xiao-jing.Application of Biorthogonal Spline Wavelet Petrov-Galerkin Method to the Electrostatic Field[J].Journal of Yunnan Nationalities University:Natural Sciences Edition,2010,19(6). |
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| Authors: | ZHONG Qiu-ping DING Xuan-hao WEI Xiao-jing |
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| Institution: | ZHONG Qiu-ping,DING Xuan-hao,WEI Xiao-jing(School of Mathematics and Computer Science,Guilin University of Electronic Technology,Guilin 541004,China) |
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| Abstract: | High dimensional biorthogonal spline wavelet is constructed by the tensor product method.With a wavelet Petrov-Galerkin approach,biorthogonal spline wavelets were adapted to the computing of electrostatic field problems.Using the refinement equations for evaluating integrals of wavelets exactly,the orthogonal and compactly supported of biorthogonal spline wavelets could speed up calculating.In order to reduce the error caused by truncation on the boundary,wavelets on the domain boundary were added.The numer... |
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| Keywords: | biorthogonal spline wavelets wavelet Petrov-Galerkin method electrostatic field |
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