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Optimal control of the convergence rate of Global-in-time Schwarz algorithms
Florian Lemarié1, Laurent Debreu2, Eric Blayo2

In this study we present a global-in-time non-overlapping Schwarz method applied to the one dimensional unsteady diffusion equation. We derive efficient interface conditions using an optimal control approach once the problem is discretized. Those conditions are compared to the usual optimized conditions derived at the PDE level by solving a min-max problem.
1:  Department of Atmospheric Sciences [Los Angeles]
2:  INRIA Grenoble Rhône-Alpes / LJK Laboratoire Jean Kuntzmann - MOISE