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Reconstruction of the Shape of Unknown Obstacles in Freshwater
ZHUANG Hong-wei, MA Yi-chen, ZHANG Zhi-bin, WANG Jian
CHINESE JOURNAL OF COMPUTATIONAL PHYSICS
2004, 21 (1):
54-60.
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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