Title :

A guaranteed equilibrated error estimator for the $\mathbf{A}-\varphi$ and $\mathbf{T}-\Omega$ magnetodynamic harmonic formulations of the Maxwell system

Author(s) :

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

Journal title :

IMA Journal of Numerical Analysis

Pages :

750-773

Publisher :

Oxford University Press (OUP)

Publication date :

2017

ISSN :

0272-4979

English keyword(s) :

finite element method AMS (MOS) subject classification 35Q61
potential formulation
a posteriori estimators
65N15
65N50
65N30
Maxwell equations

HAL domain(s) :

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

English abstract : [en]

In this paper, a guaranteed equilibrated error estimator is proposed for the harmonic magnetodynamic formulation of the Maxwell's system. This system is recast in two classical potential formulations, which are solved by ...
Show more >In this paper, a guaranteed equilibrated error estimator is proposed for the harmonic magnetodynamic formulation of the Maxwell's system. This system is recast in two classical potential formulations, which are solved by a Finite Element method. The equilibrated estimator is built starting from these dual problems and is consequently available to estimate the error of both numerical resolutions. The estimator reliability and efficiency without generic constants are established. Then, numerical tests are performed, allowing to illustrate the obtained theoretical results.Show less >

Language :

Anglais

Popular science :

Non

ANR Project :

Centre Européen pour les Mathématiques, la Physique et leurs Interactions

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL