NDLI: Numerical method for the shape reconstruction of a hard target

Content Provider	Springer Nature Link
Author	Yun xiang, You Guo ping, Miao
Copyright Year	2003
Abstract	A nonlinear optimization method was developed to solve the inverse problem of determining the shape of a hard target from the knowlegde of the far-field pattern of the acoustic scattering wave, it was achieved by solving independently an ill-posed linear system and a well-posed minimization problem. Such a separate numerical treatment for the illposedness and nonlinearity of the inverse problem makes the numerical implementation of the proposed method very easy and fast since there only involves the solution of a small scale minimization problem with one unknown function in the nonlinear optimization step for determining the shape of the sound-hard obstacle. Another particular feature of the method is that it can reproduce the shape of an unknown hard target efficiently from the knowledge of only one Fourier coefficient of the far-field pattern. Moreover, a two-step adaptive iteration algorithm was presented to implement numerically the nonlinear optimization scheme. Numerical experiments for several two-dimensional sound-hard scatterers having a variety of shapes provide an independent verification of the effectiveness and practicality of the inversion scheme.
Ending Page	1244
Page Count	12
Starting Page	1233
File Format	PDF
ISSN	02534827
e-ISSN	15732754
Journal	Applied Mathematics and Mechanics
Issue Number	10
Volume Number	24
Language	English
Publisher	Kluwer Academic Publishers
Publisher Date	2003-01-01
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	inverse problem far-field pattern acoustic scattering Mechanics Applications of Mathematics Mathematical Modeling and Industrial Mathematics Scattering theory
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Mechanics of Materials Mechanical Engineering

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