Iterative Solvers for Singular Symmetric ...
Document type :
Article dans une revue scientifique: Article original
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Title :
Iterative Solvers for Singular Symmetric Linear Systems in Low Frequency Electromagnetics
Author(s) :
Tinzefte, Abdellatif [Auteur]
Le Menach, Yvonnick [Auteur]
Laboratoire d'Électrotechnique et d'Électronique de Puissance (L2EP) - ULR 2697
Piriou, Francis [Auteur]
Laboratoire d'Électrotechnique et d'Électronique de Puissance (L2EP) - EA 2697
Tinzefte, Abdellatif [Auteur]
Le Menach, Yvonnick [Auteur]
Laboratoire d'Électrotechnique et d'Électronique de Puissance (L2EP) - ULR 2697
Piriou, Francis [Auteur]
Laboratoire d'Électrotechnique et d'Électronique de Puissance (L2EP) - EA 2697
Tinzefte, Abdellatif [Auteur]
Journal title :
Ieee Transactions on Magnetics
Abbreviated title :
IEEE Trans. Magn.
Volume number :
45
Pages :
1428-1431
Publication date :
2009-03
ISSN :
0018-9464
English keyword(s) :
Eddy currents
magnetostatics
numerical analysis
magnetostatics
numerical analysis
HAL domain(s) :
Sciences de l'ingénieur [physics]
English abstract : [en]
In this paper, several methods based on Krylov methods are proposed to solve the singular linear systems from finite element method. Indeed, in the magnetostatic case, for A-formulation the system to solve is singular but ...
Show more >In this paper, several methods based on Krylov methods are proposed to solve the singular linear systems from finite element method. Indeed, in the magnetostatic case, for A-formulation the system to solve is singular but it is auto-gauged by Krylov methods. However, due to the computation of residual vector all the methods (CG, MRTR, SQMR, MINRES) do not present the same behavior. Moreover, these methods are applied to eddy current problem. The numerical behavior are compared and analyzed.Show less >
Show more >In this paper, several methods based on Krylov methods are proposed to solve the singular linear systems from finite element method. Indeed, in the magnetostatic case, for A-formulation the system to solve is singular but it is auto-gauged by Krylov methods. However, due to the computation of residual vector all the methods (CG, MRTR, SQMR, MINRES) do not present the same behavior. Moreover, these methods are applied to eddy current problem. The numerical behavior are compared and analyzed.Show less >
Language :
Anglais
Audience :
Internationale
Popular science :
Non
Research team(s) :
Équipe Outils et Méthodes Numériques
Submission date :
2020-09-11T14:07:28Z
2022-05-31T13:30:02Z
2022-05-31T13:30:02Z
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