From PDEs constrained optimization to controllability problems via time domain decomposition
For researchers in PDE-constrained optimization and control, this work provides a unified perspective but is incremental in nature.
The paper establishes a theoretical link between PDE-constrained optimization and controllability problems via time domain decomposition, showing they share the same convergence behavior, confirmed by numerical experiments.
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.