Parallel Direct Solver for the Finite ...
Type de document :
Article dans une revue scientifique: Article original
URL permanente :
Titre :
Parallel Direct Solver for the Finite Integration Technique in Electrokinetic Problems
Auteur(s) :
Tinzefte, Abdellatif [Auteur]
Laboratoire d’Électrotechnique et d’Électronique de Puissance - ULR 2697 [L2EP]
Le Menach, Yvonnick [Auteur]
Laboratoire d’Électrotechnique et d’Électronique de Puissance - ULR 2697 [L2EP]
Korecki, Julien [Auteur]
Laboratoire d'Électrotechnique et d'Électronique de Puissance (L2EP) - ULR 2697
Laboratoire d’Électrotechnique et d’Électronique de Puissance - ULR 2697 [L2EP]
Guyomarch, Frédéric [Auteur]
Contributions of the Data parallelism to real time [DART]
Piriou, Francis [Auteur]
Laboratoire d’Électrotechnique et d’Électronique de Puissance - ULR 2697 [L2EP]
Tinzefte, Abdellatif [Auteur]
Laboratoire d’Électrotechnique et d’Électronique de Puissance - ULR 2697 [L2EP]
Le Menach, Yvonnick [Auteur]
Laboratoire d’Électrotechnique et d’Électronique de Puissance - ULR 2697 [L2EP]
Korecki, Julien [Auteur]
Laboratoire d'Électrotechnique et d'Électronique de Puissance (L2EP) - ULR 2697
Laboratoire d’Électrotechnique et d’Électronique de Puissance - ULR 2697 [L2EP]
Guyomarch, Frédéric [Auteur]
Contributions of the Data parallelism to real time [DART]
Piriou, Francis [Auteur]
Laboratoire d’Électrotechnique et d’Électronique de Puissance - ULR 2697 [L2EP]
Tinzefte, Abdellatif [Auteur]
Titre de la revue :
Ieee Transactions on Magnetics
Numéro :
46
Pagination :
3269 - 3272
Éditeur :
Institute of Electrical and Electronics Engineers
Date de publication :
2010-07-19
ISSN :
0018-9464
Mot(s)-clé(s) en anglais :
Finite element methods
finite integration technique
linear systems
numerical analysis
parallel algorithms
finite integration technique
linear systems
numerical analysis
parallel algorithms
Discipline(s) HAL :
Informatique [cs]/Calcul parallèle, distribué et partagé [cs.DC]
Mathématiques [math]/Analyse numérique [math.NA]
Mathématiques [math]/Analyse numérique [math.NA]
Résumé en anglais : [en]
The finite integration technique allows the simulation of real-world electromagnetic field problems with complex geometries. It provides a discrete reformulation of Maxwell's equations in their integral form suitable for ...
Lire la suite >The finite integration technique allows the simulation of real-world electromagnetic field problems with complex geometries. It provides a discrete reformulation of Maxwell's equations in their integral form suitable for numerical computing. The resulting matrix equations of the discretized fields can be used for efficient numerical simulations on modern computers and can be exploited to use a parallel computing. In fact, by reordering the unknowns by the nested dissection method, it is possible to directly construct the lower triangular matrix of the Cholesky factorization with many processors without assembling the matrix system. In this paper, a parallel algorithm is proposed for the direct solution of large sparse linear systems with the finite integration technique. This direct solver has the advantage of handling singularities in the matrix of linear systems. The computational effort for these linear systems, often encountered in numerical simulation of electromagnetic phenomena by finite integration technique, is very significant in terms of run-time and memory requirements. Many numerical tests have been carried out to evaluate the performance of the parallel direct solver.Lire moins >
Lire la suite >The finite integration technique allows the simulation of real-world electromagnetic field problems with complex geometries. It provides a discrete reformulation of Maxwell's equations in their integral form suitable for numerical computing. The resulting matrix equations of the discretized fields can be used for efficient numerical simulations on modern computers and can be exploited to use a parallel computing. In fact, by reordering the unknowns by the nested dissection method, it is possible to directly construct the lower triangular matrix of the Cholesky factorization with many processors without assembling the matrix system. In this paper, a parallel algorithm is proposed for the direct solution of large sparse linear systems with the finite integration technique. This direct solver has the advantage of handling singularities in the matrix of linear systems. The computational effort for these linear systems, often encountered in numerical simulation of electromagnetic phenomena by finite integration technique, is very significant in terms of run-time and memory requirements. Many numerical tests have been carried out to evaluate the performance of the parallel direct solver.Lire moins >
Langue :
Anglais
Comité de lecture :
Oui
Audience :
Internationale
Vulgarisation :
Non
Commentaire :
https://hal.archives-ouvertes.fr/hal-01581077v1
Équipe(s) de recherche :
Équipe Outils et Méthodes Numériques
Date de dépôt :
2020-05-15T13:43:32Z
2022-03-02T13:04:45Z
2022-03-02T13:04:45Z
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