Performances analysis of parallel asynchronous and synchronous algorithms on cloud architecture for PDE

MA Rahhali, T Garcia, P Spitéri - Advances in Engineering Software, 2023 - Elsevier
In order to solve discretized stationary linear or non linear diffusion and convection–diffusion
problems, the present paper deals with a comparison between the performances of parallel …

Asynchronous multiplicative coarse-space correction

G Gbikpi-Benissan, F Magoulès - SIAM Journal on Scientific Computing, 2022 - SIAM
This paper introduces the multiplicative variant of the recently proposed asynchronous
additive coarse-space correction method. The definition of an asynchronous extension of …

[HTML][HTML] Asynchronous multisplitting-based primal Schur method

G Gbikpi-Benissan, F Magoulès - Journal of Computational and Applied …, 2023 - Elsevier
This paper presents a new scalable asynchronous domain decomposition method which
significantly outperforms the recent two-level asynchronous restricted additive Schwarz …

[HTML][HTML] Scalable asynchronous domain decomposition solvers for non-homogeneous elastic structures

G Gbikpi-Benissan, M Rynkovskaya… - Advances in Engineering …, 2022 - Elsevier
This paper introduces a non-overlapping counterpart of the recently achieved two-level
asynchronous restricted additive Schwarz (AsyncRAS) solver. It improves the asynchronous …

Resilient asynchronous primal Schur method

G Gbikpi-Benissan, F Magoulès - Applications of Mathematics, 2022 - Springer
This paper introduces the application of asynchronous iterations theory within the framework
of the primal Schur domain decomposition method. A suitable relaxation scheme is …

[HTML][HTML] Accurate implementation of two-level asynchronous domain decomposition solvers

G Gbikpi-Benissan, F Magoulès - Advances in Engineering Software, 2024 - Elsevier
Recently, asynchronous coarse-grid correction has been achieved within additive Schwarz-
type and primal Schur domain decomposition frameworks. Both additive and multiplicative …

Accurate Coarse Residual for Two-Level Asynchronous Domain Decomposition Methods

G Gbikpi-Benissan, F Magoulès - arXiv preprint arXiv:2310.12605, 2023 - arxiv.org
Recently, asynchronous coarse-space correction has been achieved within both the
overlapping Schwarz and the primal Schur frameworks. Both additive and multiplicative …

Parallel cloud solution of large algebraic multivalued systems

MA Rahhali, T Garcia, P Spitéri - Applied Numerical Mathematics, 2024 - Elsevier
The present paper deals with the resolution on cloud architecture of synchronous and
asynchronous iterative parallel algorithms of stationary or evolution variational inequations …

Distributed Online Risk Assessment in the National Cyberspace

A Karbowski - Electronics, 2022 - mdpi.com
The paper presents a distributed approach to online cyber risk assessment across the
country, taking into account cyber threats and vulnerabilities identified by local services …

[HTML][HTML] Asynchronous substructuring method with alternating local and global iterations

G Gbikpi-Benissan, F Magoulès - Journal of Computational and Applied …, 2021 - Elsevier
Until now, almost all investigations of asynchronous iterations within domain decomposition
frameworks targeted methods of the parallel Schwarz type. A first, and sole, attempt to deal …