Dirichlet-Neumann and Neumann-Neumann Methods for Parabolic Optimal Control Problems 2.0

Abstract

In this talk, we will present the Dirichlet-Neumann and Neumann-Neumann methods with a time domain decomposition applied to unconstrained parabolic optimal control problems. Unlike the previous talk given at DD27, we are going to explore more about these two methods based on the forward-backward structure of the optimality system. Variants can be found for both Dirichlet-Neumann and Neumann-Neumann methods. Some of these variants are only good smoothers, while others could lead to efficient solvers.

卢 柳 䃅

Postdoctoral Fellow in Applied Mathematics

My research interests include Numerical Analysis, Mathematical Biology, Scientific Computing, Optimization and Control.