On the numerical solution of the three-dimensional inverse obstacle scattering problem
The authors examine numerical methods for the determination of the shape of an impenetrable sound-soft obstacle from the knowledge of a time- harmonic incident plane acoustic wave and far-field, or near-field measurements of the scattered wave. The nonlinear optimization formulation of \textit{A. Kirsch} and \textit{R. Kress} [An optimization method in inverse acoustic scattering, in: C. A. Brebbia et al., Eds., Boundary elements IX, Vol. 3. Fluid Flow and Potential Applications (Springer, Heidelberg, 3-18 (1987)], which stabilizes the underlying inverse problem, is used and analyzed. Numerical verification is presented.
time-harmonic acoustic obstacle scattering
scientific article; zbMATH DE number 69584
scientific article