1 citations · 1 across the 11 of their papers we have counts for
11 papers
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…
Robust optimization of control parameters for WEC arrays using stochastic methods
Marco Gambarini, Gabriele Ciaramella, Edie Miglio +1
This work presents a new computational optimization framework for the robust control of parks of Wave Energy Converters (WEC) in irregular waves. The power of WEC parks is maximize…
A multigrid solver for PDE-constrained optimization with uncertain inputs
Gabriele Ciaramella, Fabio Nobile, Tommaso Vanzan
In this manuscript, we present a collective multigrid algorithm to solve efficiently the large saddle-point systems of equations that typically arise in PDE-constrained optimizatio…
A combination technique for optimal control problems constrained by random PDEs
Fabio Nobile, Tommaso Vanzan
We present a combination technique based on mixed differences of both spatial approximations and quadrature formulae for the stochastic variables to solve efficiently a class of Op…
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…
On the nonlinear Dirichlet-Neumann method and preconditioner for Newton's method
Faycal Chaouqui, Martin J. Gander, Pratik M. Kumbhar +1
The Dirichlet-Neumann (DN) method has been extensively studied for linear partial differential equations, while little attention has been devoted to the nonlinear case. In this pap…
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…