4 papers
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…
New time domain decomposition methods for parabolic optimal control problems II: Neumann-Neumann algorithms
Martin Jakob Gander, Liu-Di Lu
We present new Neumann-Neumann algorithms based on a time domain decomposition applied to unconstrained parabolic optimal control problems. After a spatial semi-discretization, the…
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…
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…