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…
Distributed asynchronous convergence detection without detection protocol
Guillaume Gbikpi-Benissan, Frederic Magoules
In this paper, we address the problem of detecting the moment when an ongoing asynchronous parallel iterative process can be terminated to provide a sufficiently precise solution t…
Asynchronous parareal time discretization for partial differential equations
Frederic Magoules, Guillaume Gbikpi-Benissan
Asynchronous iterations are more and more investigated for both scaling and fault-resilience purpose on high performance computing platforms. While so far, they have been exclusive…
Spectral domain decomposition method for physically-based rendering of photochromic/electrochromic glass windows
Guillaume Gbikpi-Benissan, Patrick Callet, Frederic Magoules
This paper covers the time consuming issues intrinsic to physically-based image rendering algorithms. First, glass materials optical properties were measured on samples of real gla…
Spectral domain decomposition method for physically-based rendering of Royaumont abbey
Guillaume Gbikpi-Benissan, Patrick Callet, Frederic Magoules
In the context of a virtual reconstitution of the destroyed Royaumont abbey church, this paper investigates computer sciences issues intrinsic to the physically-based image renderi…
Beam-tracing domain decomposition method for urban acoustic pollution
Guillaume Gbikpi-Benissan, Frederic Magoules
This paper covers the fast solution of large acoustic problems on low-resources parallel platforms. A domain decomposition method is coupled with a dynamic load balancing scheme to…
Coarse Space Correction for Graphic Analysis
Guillaume Gbikpi-Benissan, Frederic Magoules
In this paper we present an effective coarse space correction addressed to accelerate the solution of an algebraic linear system. The system arises from the formulation of the prob…
Asynchronous Communications Library for the Parallel-in-Time Solution of Black-Scholes Equation
Qinmeng Zou, Guillaume Gbikpi-Benissan, Frederic Magoules
The advent of asynchronous iterative scheme gives high efficiency to numerical computations. However, it is generally difficult to handle the problems of resource management and co…
Asynchronous Parareal Algorithm Applied to European Option Pricing
Qinmeng Zou, Guillaume Gbikpi-Benissan, Frederic Magoules
Asynchronous iterations arise naturally in parallel computing if one wants to solve large problems with a minimization of the idle times. This paper presents an original model of a…