报告人：张文龙助理教授

报告题目：A new frame work to quantify the uncertainty in general inverse problems

报告摘要：In this work, we investigate the regularized solutions and their finite element solutions to the inverse source problems governed by partial differential equations, and establish the stochastic convergence and optimal finite element convergence rates of these solutions, under point wise measurement data with random noise. The regularization error estimates and the finite element error estimates are derived with explicit dependence on the noise level, regularization parameter, mesh size, and time step size, which can guide practical choices among these key parameters in real applications. The error estimates also suggest an iterative algorithm for determining an optimal regularization parameter. Numerical experiments are presented to demonstrate the effectiveness of the analytical results.

报告时间：2022年5月26日 15:30-17:00

报告形式：腾讯会议，会议号：200-512-198

报告人简介：张文龙助理教授本科毕业于南京大学，先后于中国科学院，巴黎高等师范学校取得硕士博士学位。后进入南方科技大学数学系任职至今。研究方向主要为不确定性分析，反问题研究，数值方法等。