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A wavelet multiscale method for inversion of Maxwell equations  
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【英文篇名】 A wavelet multiscale method for inversion of Maxwell equations
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【作者】 丁亮; 韩波; 刘家琦;
【英文作者】 Liang DING; Bo HAN; Jia-qi LIU (Department of Mathematics; Harbin Institute of Technology; Harbin 150001; P. R. China);
【作者单位】 Department of Mathematics; Harbin Institute of Technology;
【文献出处】 Applied Mathematics and Mechanics(English Edition) , 应用数学和力学(英文版), 编辑部邮箱 2009年 08期  
期刊荣誉:ASPT来源刊  中国期刊方阵  CJFD收录刊
【英文关键词】 Maxwell equations; wavelet multiscale method; inversion; regularized Gauss-Newton method; finite difference time domain method;
【摘要】 This paper is concerned with estimation of electrical conductivity in Maxwell equations. The primary difficulty lies in the presence of numerous local minima in the objective functional. A wavelet multiscale method is introduced and applied to the inversion of Maxwell equations. The inverse problem is decomposed into multiple scales with wavelet transform, and hence the original problem is reformulated to a set of sub-inverse problems corresponding to different scales, which can be solved successively accor...
【英文摘要】 This paper is concerned with estimation of electrical conductivity in Maxwell equations. The primary di?culty lies in the presence of numerous local minima in the objective functional. A wavelet multiscale method is introduced and applied to the inversion of Maxwell equations. The inverse problem is decomposed into multiple scales with wavelet transform, and hence the original problem is reformulated to a set of sub-inverse problems corresponding to different scales, which can be solved successively accordi...
【基金】 supported by the Program of Excellent Team of Harbin Institute of Technology
【更新日期】 2009-08-24
【分类号】 O241
【正文快照】 Introduction The inversion of Maxwell equations has shown significant potential in oil and gas explo- ration. It also has important application in mineral, geothermal exploration and general geo- logic mapping. 3D-inversion has been used successfully to m

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数理科学和化学
  数学
   计算数学
    数值分析
  
 
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