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20212024
most citedDistributed convergence detection based on global residual error under asynchronous iterations

32 citations · 42 across the 14 of their papers we have counts for

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math.NA20247 cited

Physics-Informed Graph-Mesh Networks for PDEs: A hybrid approach for complex problems

Marien Chenaud, Frédéric Magoulès, José Alves

The recent rise of deep learning has led to numerous applications, including solving partial differential equations using Physics-Informed Neural Networks. This approach has proven…

math.NA20232 cited

Accurate Coarse Residual for Two-Level Asynchronous Domain Decomposition Methods

Guillaume Gbikpi-Benissan, Frédéric Magoulès

Recently, asynchronous coarse-space correction has been achieved within both the overlapping Schwarz and the primal Schur frameworks. Both additive and multiplicative corrections h…

math.NA20211 cited

Iterative Krylov Methods for Acoustic Problems on Graphics Processing Unit

Abal-Kassim Cheik Ahamed, Frederic Magoules

This paper deals with linear algebra operations on Graphics Processing Unit (GPU) with complex number arithmetic using double precision. An analysis of their uses within iterative…

math.NA2021

Fast and Green Computing with Graphics Processing Units for solving Sparse Linear Systems

Abal-Kassim Cheik Ahamed, Alban Desmaison, Frederic Magoules

In this paper, we aim to introduce a new perspective when comparing highly parallelized algorithms on GPU: the energy consumption of the GPU. We give an analysis of the performance…

math.NA2021

Accelerated solution of Helmholtz equation with Iterative Krylov Methods on GPU

Abal-Kassim Cheik Ahamed, Frederic Magoules

This paper gives an analysis and an evaluation of linear algebra operations on Graphics Processing Unit (GPU) with complex number arithmetics with double precision. Knowing the per…

math.NA2021

Stochastic Optimized Schwarz Methods for the Gravity Equations on Graphics Processing Unit

Abal-Kassim Cheik Ahamed, Frederic Magoules

Low order, sequential or non-massively parallel finite elements are generaly used for three-dimensional gravity modelling. In this paper, in order to obtain better gravity anomaly…