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一类阻尼边界条件下的逆散射问题 被引量:6

RECOVERY OF BOUNDARY IMPEDANCE COEFFICIENT IN 2-D MEDIA
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摘要 This paper considers the inverse scattering problem of an obstacle in R2 with impedance-type boundary. Our aim is to reconstruct the boundary impedance coefficient from the knowledge of scattered waves. For this ill-posed problem, we establish an effective inversion scheme to recover the unknown impedance in terms of the potential theory and optimal technique. Both convergence of the approximate solution and numerical example are presented. This paper considers the inverse scattering problem of an obstacle in R2 with impedance-type boundary. Our aim is to reconstruct the boundary impedance coefficient from the knowledge of scattered waves. For this ill-posed problem, we establish an effective inversion scheme to recover the unknown impedance in terms of the potential theory and optimal technique. Both convergence of the approximate solution and numerical example are presented.
作者 刘继军
出处 《计算数学》 CSCD 北大核心 2001年第1期111-120,共10页 Mathematica Numerica Sinica
关键词 阻尼边界 收敛性 最优解 正则化 逆散射 HELMHOLTZ方程 Impedance boundary, inversion, convergence, stability
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