Seminar Details
2019-11-19 (14:00) : Parameter identification in elliptic PDEs from boundary data: finite element method with total variation regularization
At Euler building (room A.002)
Organized by Mathematical Engineering
Speaker :
Tran Nhan Tam Quyen (Institute for Numerical and Applied Mathematics, University of Goettingen, Germany.)
Abstract :
In this presentation we would like to present the problem of identifying the conductivity and the source term in elliptic PDEs from several sets of boundary data. The finite element method with total variation regularization technique is applied to tackle the ill-posed identification problem. We analyze the stability of the proposed approach and the convergence of the finite element regularization approximations to the sought parameters, which confirm that the parameters distributed inside the physical domain can be reconstructed from a finite number of observations on the boundary.