7 papers · 1 filter
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…
Multilevel quadrature formulae for the optimal control of random PDEs
Fabio Nobile, Tommaso Vanzan
This manuscript presents a framework for using multilevel quadrature formulae to compute the solution of optimal control problems constrained by random partial differential equatio…
Preconditioners for robust optimal control problems under uncertainty
Fabio Nobile, Tommaso Vanzan
The discretization of robust quadratic optimal control problems under uncertainty using the finite element method and the stochastic collocation method leads to large saddle-point…
Linear and nonlinear substructured Restricted Additive Schwarz iterations and preconditioning
Faycal Chaouqui, Martin J. Gander, Pratik M. Kumbhar +1
Substructured domain decomposition (DD) methods have been extensively studied, and they are usually associated with nonoverlapping decompositions. We introduce here a substructured…
On the asymptotic optimality of spectral coarse spaces
Gabriele Ciaramella, Tommaso Vanzan
This paper is concerned with the asymptotic optimality of spectral coarse spaces for two-level iterative methods. Spectral coarse spaces, namely coarse spaces obtained as the span…
A numerical algorithm based on probing to find optimized transmission conditions
Martin J. Gander, Roland Masson, Tommaso Vanzan
Optimized Schwarz Methods (OSMs) are based on optimized transmission conditions along the interfaces between the subdomains. Optimized transmission conditions are derived at the th…