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math.NA2023
New time domain decomposition methods for parabolic control problems I: Dirichlet-Neumann and Neumann-Dirichlet algorithms
Martin Jakob Gander, Liu-Di Lu
We present new Dirichlet-Neumann and Neumann-Dirichlet algorithms with a time domain decomposition applied to unconstrained parabolic optimal control problems. After a spatial semi…
math.NA2023
Dirichlet-Neumann and Neumann-Neumann Methods for Elliptic Control Problems
Martin Jakob Gander, Liu-Di Lu
We present the Dirichlet-Neumann (DN) and Neumann-Neumann (NN) methods applied to the optimal control problems arising from elliptic partial differential equations (PDEs) under the…