From PDEs constrained optimization to controllability problems via time domain decomposition
Numerical Analysis
2026-05-22 v1 Numerical Analysis
Optimization and Control
Abstract
This paper focuses on the application of time domain decomposition to solve partial differential equations constrained optimization problems and controllability problems. After clarifying the link between these two types of problems, we show that applying time domain decomposition to both problems leads to the same convergence behavior. Our numerical experiments also confirm these theoretical findings.
Cite
@article{arxiv.2605.22312,
title = {From PDEs constrained optimization to controllability problems via time domain decomposition},
author = {Pierre-Henri Cocquet and Liu-Di Lu},
journal= {arXiv preprint arXiv:2605.22312},
year = {2026}
}
Comments
10 pages, 3 figures, Proceeding paper in Domain Decomposition Methods in Science and Engineering XXIX