Time: 9h30, Tuesday, May 9, 2017
Location: Room 4, Building A14, Institute of Mathematics, 18 Hoang Quoc Viet, Cau Giay, Hanoi
Abstract: In this talk I would like to present some results about the problem of identifying the source in the Neumann boundary value problem for elliptic partial differential equations (PDEs) from a measurement data on a part of the boundary of the physical domain. A variational method based on standard least squares functions with Tikhonov regularization is here proposed to treat the identification problem. We discretize the PDEs with the finite element methods and prove the convergence, convergence rates for the inverse problem as well as analyse a-posteriori error bounds for the control problem of this approach.