学术报告：2020年08月28日15:00-16:00，华中师范大学-蒋代军

报告人

蒋代军

单位

华中师范大学

报告题目

Numerical reconstruction of the spatial component

in the source term of a time-fractional diffusion

equation

报告时间

2020.8.28

15:00-16:00

地点

Zoom会议号： 67572385357

密码：20200828

邀请人

王海兵

报告摘要

In this article,   we are concerned with the analysis on the numerical reconstruction

of the spatial   component in the source term of a time-fractional diffusion equation.

This ill-posed   problem is solved through a stabilized nonlinear minimization system

by an   appropriately selected Tikhonov regularization. The existence and the   stability

of the   optimization system are demonstrated. The nonlinear optimization problem is

approximated by   a fully discrete scheme, whose convergence is established under a

novel result   verified in this study that the H 1 -norm of the solution to the discrete   forward system is uniformly bounded. The iterative thresholding algorithm is   proposed to solve the discrete minimization, and several numerical   experiments are presented to show the efficiency and the accuracy of the   algorithm.

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3项，在SIAM J. Appl. Math., Journal of   Differential Equations, Inverse Problems, Inverse Problems and Imaging等国际知名刊物上发表论文20余篇。