Zhi Zhou, Associate Professor, Department of Applied Mathematics, The Hong Kong Polytechnic University

Jizu Huang, Associate Professor

Numerical analysis of diffusion coefficient identification for elliptic and parabolic problems

16:00-17:00 September 15(Thursday), Tencent Meeting ID: 478-1365-3406

Parameter identifications for differential equations represent a wide class of inverse problems. Conventionally, this class of inverse problems could be solved via an optimization approach, which is then discretized for practical implementation for practical numerical implementation. Then one important issue is to derive a priori error estimates for the numerical reconstruction of the desired parameter. In this talk, we present our recent efforts to derive convergence rates for a discrete scheme for recovering a spatially dependent diffusion coefficient in an elliptic or parabolic type problem, by suitably exploiting relevant stability results.