Title :

Space-time residual-based a posteriori estimator for the A-phi formulation in eddy current problems

Author(s) :

Tittarelli, Roberta [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Laboratoire d’Électrotechnique et d’Électronique de Puissance - ULR 2697 [L2EP]
EDF R&D [EDF R&D]
Le Menach, Yvonnick [Auteur]
Laboratoire d’Électrotechnique et d’Électronique de Puissance - ULR 2697 [L2EP]
Creusé, Emmanuel [Auteur]
Reliable numerical approximations of dissipative systems [RAPSODI]
Nicaise, Serge [Auteur]
Laboratoire de Mathématiques et leurs Applications de Valenciennes - EA 4015 [LAMAV]
Piriou, Francis [Auteur]
Laboratoire d’Électrotechnique et d’Électronique de Puissance - ULR 2697 [L2EP]
Moreau, Olivier [Auteur]
EDF R&D [EDF R&D]
Boiteau, Olivier [Auteur]
EDF R&D [EDF R&D]

Journal title :

IEEE Transactions on Magnetics

Publisher :

Institute of Electrical and Electronics Engineers

Publication date :

2015

ISSN :

0018-9464

HAL domain(s) :

Mathématiques [math]/Analyse numérique [math.NA]

English abstract : [en]

In this paper, an a posteriori residual error estimator is presented for the 3-D eddy current problem modeled by the space-time A - φ potential formulation. It is solved by the finite element method in space and the backward ...
Show more >In this paper, an a posteriori residual error estimator is presented for the 3-D eddy current problem modeled by the space-time A - φ potential formulation. It is solved by the finite element method in space and the backward Euler scheme in time. Once the reliability as well as the efficiency of the estimator is established, two numerical tests are proposed: 1) an analytical one to validate the theoretical results and 2) a physical one to illustrate the performance for a real eddy current problem.Show less >

Language :

Anglais

Popular science :

Non

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL