Control an. Maday, Y., Riahi, M., & Salomon, J. Bredies, K., Clason, C., Kunisch, K., & Winckel, G., editors. Control and Optimization with PDE Constraints, pages 79–92. Springer Basel, Basel, Springer B edition, 2013.
Control and Optimization with PDE Constraints [link]Paper  doi  abstract   bibtex   
In this paper, we present a method that enables to solve 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.
@inbook{Maday2013,
abstract = {In this paper, we present a method that enables to solve 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.},
address = {Basel},
author = {Maday, Yvon and Riahi, Mohamed-Kamel and Salomon, Julien},
booktitle = {International Series of Numerical Mathematics},
chapter = {Control an},
doi = {10.1007/978-3-0348-0631-2_5},
edition = {Springer B},
editor = {Bredies, Kristian and Clason, Christian and Kunisch, Karl and Winckel, Gregory},
isbn = {978-3-0348-0631-2},
keywords = {Control Optimization PDEs Parareal in time algorit},
pages = {79--92},
publisher = {Springer Basel},
title = {{Control and Optimization with PDE Constraints}},
url = {http://dx.doi.org/10.1007/978-3-0348-0631-2{\_}5},
year = {2013}
}

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