5 papers
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…
Spectral substructured two-level domain decomposition methods
Gabriele Ciaramella, Tommaso Vanzan
Two-level domain decomposition (DD) methods are very powerful techniques for the efficient numerical solution of partial differential equations (PDEs). A two-level domain decomposi…