Title :

Goal-oriented error estimation based on equilibrated flux reconstruction for the approximation of the harmonic formulations in eddy current problems

Author(s) :

Creusé, Emmanuel [Auteur]
Laboratoire de Matériaux Céramiques et de Mathématiques [CERAMATHS]
Reliable numerical approximations of dissipative systems [RAPSODI]
Nicaise, Serge [Auteur]
Laboratoire de Matériaux Céramiques et de Mathématiques [CERAMATHS]
Tang, Zuqi [Auteur]
L2EP - Équipe Outils et Méthodes Numériques [OMN]

Journal title :

IMA Journal of Numerical Analysis

Publisher :

Oxford University Press (OUP)

Publication date :

2024-01-28

ISSN :

0272-4979

English keyword(s) :

Goal-oriented a posteriori estimators
Finite element method
Maxwell equations
Potential formulations

HAL domain(s) :

Mathématiques [math]

English abstract : [en]

In this work, we propose an a posteriori goal-oriented error estimator for the harmonic A/Phi formulation arising in the modeling of eddy current problems, approximated by nonconforming finite element methods. It is based ...
Show more >In this work, we propose an a posteriori goal-oriented error estimator for the harmonic A/Phi formulation arising in the modeling of eddy current problems, approximated by nonconforming finite element methods. It is based on the resolution of an adjoint problem associated with the initial one. For each of these two problems, a guaranteed equilibrated estimator is developed using some flux reconstructions. These fluxes also allow to obtain a goal-oriented error estimator that is fully computable and can be split in a principal part and a remainder one. Our theoretical results are illustrated by numerical experiments.Show less >

Language :

Anglais

Popular science :

Non

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL