# American Institute of Mathematical Sciences

November  2007, 1(4): 691-712. doi: 10.3934/ipi.2007.1.691

## A hybrid method for inverse scattering for Sound-soft obstacles in R3

 1 Institut für Angewandt und Numerische Mathematik, University of Göttingen, Lotzestr. 16-18, 37083, Göttingen, Germany

Received  November 2006 Published  October 2007

We present a hybrid method to numerically solve the inverse acoustic sound-soft obstacle scattering problem in $\R^3$, given the far-field pattern for one incident direction. This method combines ideas of both iterative and decomposition methods, inheriting advantages of each of them, such as getting good reconstructions and not needing a forward solver at each step. A related Newton method is presented to show convergence of the method and numerical results show its feasibility.
Citation: Pedro Serranho. A hybrid method for inverse scattering for Sound-soft obstacles in R3. Inverse Problems and Imaging, 2007, 1 (4) : 691-712. doi: 10.3934/ipi.2007.1.691
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