R. G. Novikov, “An iterative approach to non-overdetermined inverse scattering at fixed energy”, Mat. Sb., 2015, Volume 206, Number 1,Pages <nobr>131

This article is cited in 29 papers

An iterative approach to non-overdetermined inverse scattering at fixed energy

R. G. Novikov^abc

^a Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region
^b Institute of Earthquake Prediction Theory and Mathematical Geophysics RAS
^c École Polytechnique, Centre de Mathématiques Appliquées

Abstract: We present an iterative approximate reconstruction algorithm for non-overdetermined inverse scattering at fixed energy $E$ with incomplete data, where the dimension $d\geqslant 2$. In particular, we obtain rapidly converging approximate reconstructions for this inverse scattering for $E\to +\infty$.
Bibliography: 38 titles.

Keywords: inverse scattering problem, non-overdetermined monochromatic data, iterative approximate reconstruction, rapid high energy convergence.

UDC: 517.958+530.145.81

MSC: 35P25, 65N21

Received: 22.06.2013 and 25.04.2014

DOI: 10.4213/sm8277