Title :

A posteriori error estimator for harmonic A‐φ formulation

Author(s) :

Tang, Zuqi [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]
Creusé, Emmanuel [Auteur]
SImulations and Modeling for PArticles and Fluids [SIMPAF]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
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]
Nemitz, Nicolas [Auteur]
EDF R&D [EDF R&D]

Journal title :

COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering

Pages :

1219-1229

Publisher :

Emerald

Publication date :

2013-07-05

ISSN :

0332-1649

English keyword(s) :

A posteriori error estimation
Eddy current problems
Error analysis
Finite element analysis
Finite element method
Harmonic formulation
Slinky

HAL domain(s) :

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

English abstract : [en]

Purpose - In this paper, the aim is to propose a residual-based error estimator to evaluate the numerical error induced by the computation of the electromagnetic systems using a finite element method in the case of the ...
Show more >Purpose - In this paper, the aim is to propose a residual-based error estimator to evaluate the numerical error induced by the computation of the electromagnetic systems using a finite element method in the case of the harmonic A-? formulation. Design/methodology/approach - The residual based error estimator used in this paper verifies the mathematical property of global and local error estimation (reliability and efficiency). Findings - This estimator used is based on the evaluation of quantities weakly verified in the case of harmonic A-? formulation. Originality/value - In this paper, it is shown that the proposed estimator, based on the mathematical developments, is hardness in the case of the typical applications.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL