Goal-oriented error estimation based on equilibrated flux reconstruction for the approximation of the harmonic formulations in eddy current problems - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2023

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

Résumé

In this work, we propose an a posteriori goal-oriented error estimator for the harmonic (A − φ) formulation arising in the modeling of eddy current problems, approximated by nonconforming finite element methods. It is based on the resolution of a dual 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 reminder one. Our theoretical results are illustrated by numerical experiments.
Fichier principal
Vignette du fichier
GOAphi.pdf (1.13 Mo) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03954215 , version 1 (24-01-2023)
hal-03954215 , version 2 (30-01-2024)

Identifiants

  • HAL Id : hal-03954215 , version 1

Citer

Emmanuel Creusé, Serge Nicaise, Zuqi Tang. Goal-oriented error estimation based on equilibrated flux reconstruction for the approximation of the harmonic formulations in eddy current problems. 2023. ⟨hal-03954215v1⟩
109 Consultations
107 Téléchargements

Partager

More