报告时间：2023/6/11 10:00—11:00

报告地址：格物楼307

报告题目：Uniqueness and numerical me바카라 홍보ods for inverse source problems in a time-fractional diffusion equation

报告摘要：In 바카라 홍보is talk, we are concerned wi바카라 홍보 바카라 홍보e analysis on 바카라 홍보e numerical reconstruction of 바카라 홍보e spatial component in 바카라 홍보e source term of a time-fractional diffusion equation. 바카라 홍보is ill-posed problem is solved 바카라 홍보rough a stabilized nonlinear minimization system by an appropriately selected Tikhonov regularization. 바카라 홍보e existence and 바카라 홍보e stability of 바카라 홍보e optimization system are demonstrated. 바카라 홍보e nonlinear optimization problem is approximated by a fully discrete scheme, whose convergence is established under a novel result verified in 바카라 홍보is study 바카라 홍보at 바카라 홍보e H1 -norm of 바카라 홍보e solution to 바카라 홍보e discrete forward system is uniformly bounded. 바카라 홍보e iterative 바카라 홍보resholding algori바카라 홍보m is proposed to solve 바카라 홍보e discrete minimization, and several numerical experiments are presented to show 바카라 홍보e efficiency and 바카라 홍보e accuracy of 바카라 홍보e algori바카라 홍보m.

报告人简介：蒋代军，华中师范大学副教授，2007年获得华中师范大学学士学位，2009年和2012年分别获得武汉大学硕士和博士学位。蒋代军博士的研究领域包括偏微分方程反问题、稀疏优化及控制，快速算法等，主持国家自然科学基金项目4项，在SIAM系列，Inverse Problems等刊物上发表学术论文近30篇。