This talk considers an inverse source problem of PDEs with both Dirichlet and Neumann boundary data. Unlike the existing methods, which usually employ the first-order in time gradient-like system for numerically solving the regularized optimization problem with a fixed regularization parameter, we propose a new method with a second-order in time dissipative gradient-like system and a dynamical selected regularization parameter. A damped symplectic scheme is proposed for the numerical solution. Furthermore, we develop a second order asymptotical regularization method for the purpose of acceleration. Theoretical analysis is given for both the continuous models and the numerical algorithms. Several numerical examples are given to assess the behavior of the proposed methods.

会议网址：https://meeting.tencent.com/s/j21OpvEqcygp

会议ID：533 862 715

会议密码：1119