准消失矩变阶小波Galerkin边界元法  

Further Reducing Considerably Complexity of Galerkin BEM (Boundary Element Method) while Retaining Adequate Accuracy

作　　者：校金友[1] 曹衍闯[1] 王焘[1] 

机构地区：[1]西北工业大学航天学院,陕西西安710072

出　　处：《西北工业大学学报》2009年第6期786-790,共5页Journal of Northwestern Polytechnical University

基　　金：国家自然科学基金(10674109);西北工业大学博士论文创新基金(CX200601)资助

摘　　要：迄今为止,所有关于小波边界元法的报道中均采用严格满足消失矩特性的小波。文章提出了准消失矩小波的概念及其在边界单元划分上的构造方法。将此小波用于非标准型Galerkin边界元的矩阵压缩。在给定小波矩误差的情况下,建立了矩阵元素的估值公式。分析表明,准消失矩小波在保证精度的前提下可以降低小波边界元法的复杂度。空间非光滑边界问题算例证实了理论结果。Aim.Existing papers have reduced the complexity of Galerkin BEM through using variable-order vanishing moment wavelets.We propose reducing considerably the complexity further through using variable-order quasi-vanishing moment wavelets.Section 1 of the full paper constructs the variable order quasi-vanishing moment wavelets and uses the threshold of singular values given in eq.(6) for controlling the accuracy of the BEM(to be explained in section 2).Section 2 explains how to compress the matrix of the Galer...

关 键 词：Galerkin边界元 小波 准消失矩 矩阵压缩 非标准型 

分 类 号：O241[理学—计算数学]