Non-overlapping Schwarz methods in time for parabolic optimal control problems

Autor:	Gander, Martin Jakob, Lu, Liu-Di
Rok vydání:	2024
Předmět:	Mathematics - Numerical Analysis Mathematics - Optimization and Control
Druh dokumentu:	Working Paper
Popis:	We present here the classical Schwarz method with a time domain decomposition applied to unconstrained parabolic optimal control problems. Unlike Dirichlet-Neumann and Neumann-Neumann algorithms, we find different properties based on the forward-backward structure of the optimality system. Variants can be found using only Dirichlet and Neumann transmission conditions. Some of these variants are only good smoothers, while others could lead to efficient solvers. Comment: 28th International Conference on Domain Decomposition Methods (DD28)
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2408.12512 Zobrazit plný text záznamu View this record from Arxiv