A second degree Newton method in inverse scattering problem for a crack. (English) Zbl 1276.76076
Summary: For the inverse scattering problem from a sound-soft crack a second degree Newton method is proposed in this paper. Based on integral equations method, our scheme splits the inverse problem into a well-posed problem and a nonlinear ill-posed problem which will be linearized using a second degree method. Some reconstructions will be given to demonstrate the feasibility of the proposed method.{
©2012 American Institute of Physics}
©2012 American Institute of Physics}
MSC:
| 76Q05 | Hydro- and aero-acoustics |
| 34L25 | Scattering theory, inverse scattering involving ordinary differential operators |
| 49M15 | Newton-type methods |
| 74R99 | Fracture and damage |
| 86A15 | Seismology (including tsunami modeling), earthquakes |
| 92C50 | Medical applications (general) |
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