Reconstruction methods for inverse problems


Gen Nakamura

11:20:00 - 12:20:00

Reconstruction methods for inverse problems

308 , Mathematics Research Center Building (ori. New Math. Bldg.)

For the recent 10 years the several reconstruction methods have been proposed for inverse scattering problems and inverse boundary value problems. For instance they are the linear sampling method, factorization method, probe method, singular sources method, no-response test, range test and enclosure method etc. These reconstruction methods are non-iterative methods which means that they are not data fitting methods such as the least square methods or the regularized version of those. They provide how to reconstruct the unknowns directly from the given measured data. The lecture will touch the basic ideas of those methods and discuss about their convergence and relations between them.