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静电磁场不规则区域问题的小波插值Galerkin算法
Alternative Titlea wavelet interpolation galerkin algorithm for static electromagnetic field analysis in irregular regions
侯霞; 范植华; 顾永耕; 杨鸿波
2005
Source计算物理
ISSN1001-246X
Volume22Issue:6Pages:539-548
English Abstract讨论了用小波插值Galerkin方法(WIGM)求解椭圆型偏微分方程,特别是求解区域不规则时的问题.在归纳出WIGM一般形式的基础上,推导出该方法在Sobolev空间范数下的误差界限为C2-m.提出了一种解决不规则区域中静电磁场场分析问题的数值算法,其中选用对称插值尺度函数为基函数,它的对称性及其与平均插值尺度函数的关系可以在一定程度上降低数值求解的计算量.最后通过计算实例说明该算法的有效性.
Indexed Typecnki ; wanfang ; ei
Keyword边值问题,多分辨分析(Mra),小波插值galerkin法,Sobolev空间,外小波boundary Value Problems Calculations Galerkin Methods Interpolation Partial Differential Equations Wavelet Transforms
Department中科院软件所通用软件实验室,中科院软件所通用软件实验室,湖南师范大学数学与计算机科学学院,中科院电子所 北京100080,北京100080,湖南长沙410081,北京100080
Language中文
Content Type期刊论文
URIhttp://ir.iscas.ac.cn/handle/311060/12390
Collection中国科学院软件研究所
Recommended Citation
GB/T 7714
侯霞,范植华,顾永耕,等. 静电磁场不规则区域问题的小波插值Galerkin算法[J]. 计算物理,2005,22(6):539-548.
APA 侯霞,范植华,顾永耕,&杨鸿波.(2005).静电磁场不规则区域问题的小波插值Galerkin算法.计算物理,22(6),539-548.
MLA 侯霞,et al."静电磁场不规则区域问题的小波插值Galerkin算法".计算物理 22.6(2005):539-548.
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