32 citations · 64 across the 14 of their papers we have counts for
14 papers
Distributed convergence detection based on global residual error under asynchronous iterations
Frédéric Magoulès, Guillaume Gbikpi-Benissan
Convergence of classical parallel iterations is detected by performing a reduction operation at each iteration in order to compute a residual error relative to a potential solution…
Asynchronous iterations of HSS method for non-Hermitian linear systems
Guillaume Gbikpi-Benissan, Qinmeng Zou, Frédéric Magoulès
A general asynchronous alternating iterative model is designed, for which convergence is theoretically ensured both under classical spectral radius bound and, then, for a classical…
Resilient asynchronous primal Schur method
Guillaume Gbikpi-Benissan, Frédéric Magoulès
This paper introduces the application of the asynchronous iterations theory within the framework of the primal Schur domain decomposition method. A suitable relaxation scheme is de…
Asynchronous multiplicative coarse-space correction
Guillaume Gbikpi-Benissan, Frédéric Magoulès
This paper introduces the multiplicative variant of the recently proposed asynchronous additive coarse-space correction method. Definition of an asynchronous extension of multiplic…
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…
JACK2: a new high-level communication library for parallel iterative methods
Guillaume Gbikpi-Benissan, Frederic Magoules
In this paper, we address the problem of designing a distributed application meant to run both classical and asynchronous iterations. MPI libraries are very popular and widely used…