Program of the Workshop,
May 3-4, 2013
The short program of the workshop can be downloaded here.
The full program with abstracts of talks can be downloaded here.
Detailed program
May 3
9:45 - 10:30 Anatoliy Bakushinskiy
New a posteriori estimates for approximate solutions ill-posed operator equations
Let the approximate solution of (nonlinear) ill-posed operator equation be obtined by iteratively regularized Gauss-Newton method (IRGN). In this talk we discuss possible a posteriori estimate for the approximate solution from the estimate ||x(n)-x(n-1)|| where x(n) is n-iteration IRGN.
10:45 - 11:30 Michel Cristofol, An inverse problem for energy balance models with memory
11:45 - 12:30 Sergey Kabanikhin, Regularization of Inverse Problems for Maxwell's equations
13:45 - 14:30 Gulnara Kuramshina, Quantum mechanical calculations of complicated molecular systems as a background of solving inverse problems in vibrational spectroscopy
14:45 - 15:30 Larisa Nazarova, Directand inverse problems of gas filtration and coal-rock mass
15:45 - 16:30 Larisa Beilina, Experimental verification of an approximately globally convergent method in pico-second scale regime
May 4
9:45 - 10:30 Enrique Zuazua, Optimal placement of sensors, actuators and dampers for waves
10:45 - 11:30 Marian Slodicka, Source identification in linear parabolic problems
11:45 - 12:30 Anatoliy Yagola, Piecewise convex approximation of solutions of ill-posed problems
13:45 - 14:30 Vasyl V. Yatsyk, Eigenmodes of linearised problems of scattering and generation of oscillations on a cubically polarisable layer
14:45 - 15:30 Yury Shestopalov, Analysis of electromagnetic interaction using operator spectral theory methods
15:40 - 16:00 John Bondestam Malmberg ,
A posteriori error estimates for the Tikhonov functional and Lagrangian for Coefficient Inverse Problem for Maxwell equations
We will formulate a coefficient inverse problem (CIP) for time-dependent Maxwell equations as an optimal control problem, where the equations
of optimality express stationarity of the Tikhonov functional or an associated Lagrangian. We will also present main steps in derivation of a posteriori error estimates for the error in the Tikhonov functional and in an associated Lagrangian, as well as formulate an adaptive finite element method to solve our CIP.