74 citations · 84 across the 7 of their papers we have counts for
3 papers · 1 filter
Neural Network Preconditioning: A Case Study for the Solution of the Parametric Helmholtz Equation
Luc Giraud, Carola Kruse, Paul Mycek +2
This work presents a hybrid numerical approach for solving linear systems arising from the discretization of the two-dimensional parametric Helmholtz equation. A convolutional neur…
Preconditioners based on Voronoi quantizers of random variable coefficients for stochastic elliptic partial differential equations
Nicolas Venkovic, Paul Mycek, Olivier Le Maître
A preconditioning strategy is proposed for the iterative solve of large numbers of linear systems with parameter-dependent matrix and right-hand side which arise during the computa…
A filtered multilevel Monte Carlo method for estimating the expectation of cell-centered discretized random fields
Jérémy Briant, Paul Mycek, Mayeul Destouches +5
In this paper, we investigate the use of multilevel Monte Carlo (MLMC) methods for estimating the expectation of discretized random fields. Specifically, we consider a setting in w…