74 citations · 84 across the 7 of their papers we have counts for
7 papers
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…
Multilevel Surrogate-based Control Variates
Mohamed Reda El Amri, Paul Mycek, Sophie Ricci +1
Monte Carlo (MC) sampling is a popular method for estimating the statistics (e.g. expectation and variance) of a random variable. Its slow convergence has led to the emergence of a…
Multivariate extensions of the Multilevel Best Linear Unbiased Estimator for ensemble-variational data assimilation
Mayeul Destouches, Paul Mycek, Selime Gürol
Multilevel estimators aim at reducing the variance of Monte Carlo statistical estimators, by combining samples generated with simulators of different costs and accuracies. In parti…
Resiliency in Numerical Algorithm Design for Extreme Scale Simulations
Emmanuel Agullo, Mirco Altenbernd, Hartwig Anzt +33
This work is based on the seminar titled ``Resiliency in Numerical Algorithm Design for Extreme Scale Simulations'' held March 1-6, 2020 at Schloss Dagstuhl, that was attended by a…
Numerical and experimental study of the interaction between two marine current turbines
Paul Mycek, Benoît Gaurier, Grégory Germain +2
The understanding of interaction effects between marine energy converters represents the next step in the research process that should eventually lead to the deployment of such dev…