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math.NA2026
Weak Scalability of time parallel Schwarz methods for parabolic optimal control problems
Liu-Di Lu, Tommaso Vanzan
Parabolic optimal control problems arise in numerous scientific and engineering applications. They typically lead to large-scale coupled forward-backward systems that cannot be tre…
math.NA2025
Optimized Schwarz methods for heterogeneous heat transfer problems
Martin J. Gander, Liu-Di Lu, Tingting Wu
We present here nonoverlapping optimized Schwarz methods applied to heat transfer problems with heterogeneous diffusion coefficients. After a Laplace transform in time, we derive t…
math.NA2024
Non-overlapping Schwarz methods in time for parabolic optimal control problems
Martin Jakob Gander, Liu-Di Lu
We present here the classical Schwarz method with a time domain decomposition applied to unconstrained parabolic optimal control problems. Unlike Dirichlet-Neumann and Neumann-Neum…