From PDEs constrained optimization to controllability problems via time domain decomposition
数值分析
2026-05-22 v1 数值分析
最优化与控制
摘要
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.
引用
@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}
}
备注
10 pages, 3 figures, Proceeding paper in Domain Decomposition Methods in Science and Engineering XXIX