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.