Um método híbrido para a reconstrução de obstáculos 2D

We are interested in solving the inverse problem of acoustic wave scattering for the position and the shape of sound hard obstacles in two-dimensions, given one incident field and the corresponding far-field pattern of the scattered wave. It can be seen as a hybrid between a regularized Newton method applied to a nonlinear operator equation with the operator that maps the unknown boundary on the solution of the direct problem and a decomposition method, in the spirit of the Kirsch and Kress method. The method does not require a forward solver for each Newton step. Numerical results show the feasibility of the method.