3 citations · 3 across the 10 of their papers we have counts for
6 papers · 1 filter
Optimized multilevel Monte Carlo methods in Banach spaces
Kristin Kirchner, Fabio Nobile, Christoph Schwab +1
We present a theoretical and numerical analysis of Monte Carlo methods for the estimation of statistical moments of random variables taking values in a Banach sp…
Low-rank solutions to a class of parametrized systems using Riemannian optimization
Marco Sutti, Tommaso Vanzan
We propose a computational framework for computing low-rank approximations to the ensemble of solutions of a parametrized system of the form for multiple pa…
Variable reduction as a nonlinear preconditioning approach for optimization problems
Gabriele Ciaremalla, Tommaso Vanzan
When considering an unconstrained minimization problem, a standard approach is to solve the optimality system with a Newton method possibly preconditioned by, e.g., nonlinear elimi…
Nonlinear Schwarz methods to compute geodesics on manifolds
Marco Sutti, Tommaso Vanzan
We consider the leapfrog algorithm by Noakes for computing geodesics on Riemannian manifolds. The main idea behind this algorithm is to subdivide the original endpoint geodesic pro…
Optimized Schwarz methods for the time-dependent Stokes-Darcy coupling
Marco Discacciati, Tommaso Vanzan
This paper derives optimal coefficients for optimized Schwarz iterations for the time-dependent Stokes-Darcy problem using an innovative strategy to solve a nonstandard min-max pro…
Weak scalability of domain decomposition methods for discrete fracture networks
Stefano Berrone, Tommaso Vanzan
Discrete Fracture Networks (DFNs) are complex three-dimensional structures characterized by the intersections of planar polygonal fractures, and are used to model flows in fracture…