Search Results for author: Valentin Mercier

Found 3 papers, 0 papers with code

A Block-Coordinate Approach of Multi-level Optimization with an Application to Physics-Informed Neural Networks

no code implementations23 May 2023 Serge Gratton, Valentin Mercier, Elisa Riccietti, Philippe L. Toint

Multi-level methods are widely used for the solution of large-scale problems, because of their computational advantages and exploitation of the complementarity between the involved sub-problems.

A coarse space acceleration of deep-DDM

no code implementations7 Dec 2021 Valentin Mercier, Serge Gratton, Pierre Boudier

We present an extension of this method that relies on the use of a coarse space correction, similarly to what is done in traditional DDM solvers.

Multilevel physics informed neural networks (MPINNs)

no code implementations29 Sep 2021 Elisa Riccietti, Valentin Mercier, Serge Gratton, Pierre Boudier

In this paper we introduce multilevel physics informed neural networks (MPINNs).

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