32 citations · 108 across the 42 of their papers we have counts for
18 papers · 1 filter
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…
Point-Cloud-based Deep Learning Models for Finite Element Analysis
Meduri Venkata Shivaditya, Francesca Bugiotti, Frederic Magoules
In this paper, we explore point-cloud based deep learning models to analyze numerical simulations arising from finite element analysis. The objective is to classify automatically t…
Multilayer Perceptron-based Surrogate Models for Finite Element Analysis
Lawson Oliveira Lima, Julien Rosenberger, Esteban Antier +1
Many Partial Differential Equations (PDEs) do not have analytical solution, and can only be solved by numerical methods. In this context, Physics-Informed Neural Networks (PINN) ha…
Graph Neural Network-based Surrogate Models for Finite Element Analysis
Meduri Venkata Shivaditya, José Alves, Francesca Bugiotti +1
Current simulation of metal forging processes use advanced finite element methods. Such methods consist of solving mathematical equations, which takes a significant amount of time…
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…
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…
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…
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…
On the stability and performance of the solution of sparse linear systems by partitioned procedures
Abal-Kassim Cheik Ahamed, Frederic Magoules
In this paper, we present, evaluate and analyse the performance of parallel synchronous Jacobi algorithms by different partitioned procedures including band-row splitting, band-row…
Coupling and Simulation of Fluid-Structure Interaction Problems for Automotive Sun-roof on Graphics Processing Unit
Liang S. Lai, Choi-Hong Lai, Abal-Kassim Cheik Ahamed +1
In this paper, the authors propose an analysis of the frequency response function in a car compartment, subject to some fluctuating pressure distribution along the open cavity of t…
Parallel Sub-Structuring Methods for solving Sparse Linear Systems on a cluster of GPU
Abal-Kassim Cheik Ahamed, Frédéric Magoulès
The main objective of this work consists in analyzing sub-structuring method for the parallel solution of sparse linear systems with matrices arising from the discretization of par…
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…
On Extensions of Limited Memory Steepest Descent Method
Qinmeng Zou, Frederic Magoules
We present some extensions to the limited memory steepest descent method based on spectral properties and cyclic iterations. Our aim is to show that it is possible to combine sweep…
Fast Gradient Methods with Alignment for Symmetric Linear Systems without Using Cauchy Step
Qinmeng Zou, Frederic Magoules
The performance of gradient methods has been considerably improved by the introduction of delayed parameters. After two and a half decades, the revealing of second-order informatio…
Parameter Estimation in the Hermitian and Skew-Hermitian Splitting Method Using Gradient Iterations
Qinmeng Zou, Frederic Magoules
This paper presents enhancement strategies for the Hermitian and skew-Hermitian splitting method based on gradient iterations. The spectral properties are exploited for the paramet…
A New Cyclic Gradient Method Adapted to Large-Scale Linear Systems
Qinmeng Zou, Frederic Magoules
This paper proposes a new gradient method to solve the large-scale problems. Theoretical analysis shows that the new method has finite termination property for two dimensions and c…