Parareal in time intermediate targets methods for optimal control problem

Details Parareal in time intermediate targets methods for optimal control problem Parareal in time intermediate targets methods for optimal control problem

2012-03-11

arxiv.org/abs/1203.2360v1

Mathematics

Optimization and Control

14 pages

Scientific paper

In this paper, we present a method that enables solving in parallel the Euler-Lagrange system associated with the optimal control of a parabolic equation. Our approach is based on an iterative update of a sequence of intermediate targets that gives rise to independent sub-problems that can be solved in parallel. This method can be coupled with the parareal in time algorithm. Numerical experiments show the efficiency of our method.

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