计算物理 ›› 2004, Vol. 21 ›› Issue (1): 54-60.
• 研究论文 • 上一篇 下一篇
庄弘炜, 马逸尘, 张志斌, 王健
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ZHUANG Hong-wei, MA Yi-chen, ZHANG Zhi-bin, WANG Jian
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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.
关键词: 区域导数, 逆散射, Nyströ, m方法
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.
Key words: domain derivative, inverse scattering, Nyström method
中图分类号:
O427.2
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.
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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