| 淡水湖泊水下未知物体形状的反演 |
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| 引用本文： | 庄弘炜,马逸尘,张志斌,王健.淡水湖泊水下未知物体形状的反演[J].计算物理,2004,21(1):54-60. |
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| 作者姓名： | 庄弘炜 马逸尘 张志斌 王健 |
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| 作者单位： | 西安交通大学理学院, 陕西 西安 710049 |
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| 基金项目： | 国家自然科学基金(NSF50136030)资助项目 |
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| 摘 要： | 将逆散射问题转化为由远场算子F、测试远场数据f和未知物体边界Γ构成的算子方程F(Γ)=f.利用Levenberg Marquardt方法和A.Kirsh引入的F在Γ上导数,求解该方程,从而确定未知物体边界Γ.
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| 关 键 词： | 区域导数 逆散射 Nyströ m方法 |
| 文章编号： | 1001-246X(2004)01-0054-07 |
| 收稿时间： | 2002-10-25 |
| 修稿时间： | 2002年10月25 |
Reconstruction of the Shape of Unknown Obstacles in Freshwater |
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| ZHUANG Hong-wei,\ MA Yi-chen,\ ZHANG Zhi-bin,\ WANG Jian.Reconstruction of the Shape of Unknown Obstacles in Freshwater[J].Chinese Journal of Computational Physics,2004,21(1):54-60. |
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| Authors: | ZHUANG Hong-wei \ MA Yi-chen \ ZHANG Zhi-bin \ WANG Jian |
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| Institution: | Science College, Xi'an Jiaotong Universtiy, Xi'an 710049, China |
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| Abstract: | The inverse scattering problem is converted to an operator equation F(Γ)=f, which consists of the far field operator F, the measured far field data f and the shape Γ of the unknown obstacle. Using the Levenberg-Marquardt method and the derivative of F on Γ, in-troduced by A. Kirsh, this equation is solved and the shape Γ is determined. The numerical results show that this algorithm is practical and efficient. |
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| Keywords: | domain derivative inverse scattering Nystr m method |
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