Title
Using multiple levels of parallelism to enhance the performance of domain decomposition solvers
Abstract
Large-scale scientific simulations are nowadays fully integrated in many scientific and industrial applications. Many of these simulations rely on modelisations based on PDEs that lead to the solution of huge linear or nonlinear systems of equations involving millions of unknowns. In that context, the use of large high performance computers in conjunction with advanced fully parallel and scalable numerical techniques is mandatory to efficiently tackle these problems. In this paper, we consider a parallel linear solver based on a domain decomposition approach. Its implementation naturally exploits two levels of parallelism, that offers the flexibility to combine the numerical and the parallel implementation scalabilities. The combination of the two levels of parallelism enables an optimal usage of the computing resource while preserving attractive numerical performance. Consequently, such a numerical technique appears as a promising candidate for intensive simulations on massively parallel platforms. The robustness and parallel numerical performance of the solver is investigated on large challenging linear systems arising from the finite element discretization in structural mechanics applications.
Year
DOI
Venue
2010
10.1016/j.parco.2009.12.006
Parallel Computing
Keywords
Field
DocType
parallel linear solver,attractive numerical performance,parallel numerical performance,hybrid iterative/direct linear solver,large high performance computer,scalable numerical technique,domain decomposition,parallel implementation scalabilities,multilevel of parallel implementation,large scale linear systems,large challenging linear system,numerical technique,large-scale scientific simulation,domain decomposition solvers,multiple level,high performance computing,parallel platform,linear system,finite element,nonlinear system
Discretization,Linear system,Supercomputer,Computer science,Massively parallel,Parallel computing,Robustness (computer science),Theoretical computer science,Computational science,Solver,Domain decomposition methods,Scalability
Journal
Volume
Issue
ISSN
36
5-6
Parallel Computing
Citations 
PageRank 
References 
2
0.42
8
Authors
3
Name
Order
Citations
PageRank
L. Giraud1725.98
Azzam Haidar240935.39
S. Pralet320.42