题目：Analysis of Some Domain Decomposition Methods for Optimal Control Problems.
报告人：Prof. Danping Yang
（East China Normal University,Shanghai）
时间：9月30日（周五）10：00-11：00
地点：数学楼210室
报告摘要：There have been extensive researche for finite approximation of optimal control problems in the literatures. One typical example of optimal control problems of state constraint reads:
/min_{u/in K} J(u,y) = /frac12/int_{/Omega} (y-y_d)^2+/frac{/alpha}{2}/int_/Omega u^2
s.t. Ay=u+f in /Omega, y=0 on /partial/Omega,
where A is an elliptic partial differential operator of the second order and K is a convex constraint set. In this talk, we will discuss convergence analysis of some domain decomposition mehtod based upon overlapping or non-oerlapping.
In the cases with control constraints, some difficult different from problems of PDEs or unconstrained problems are met. We will propose some new techiniques to treat these problems and give some conditions for selecting the parameters in schemes which lead to best convergenet rates or save computational work. This is a joint work with Huibin Chang.