Afficher la couverture 'A guaranteed equilibrated error estimator for the $\mathbf{A}-\varphi$ and $\mathbf{T}-\Omega$ magnetodynamic harmonic formulations of the Maxwell system | Creusé, Emmanuel' en grand format
/5

0 avis

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

Archive ouverte : Article de revue

Creusé, Emmanuel | Nicaise, Serge | Tittarelli, Roberta

Edité par HAL CCSD ; Oxford University Press (OUP)

International audience. 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.

Consulter en ligne

Suggestions

Du même auteur

Two Guaranteed Equilibrated Error Estimators for Harmonic Formulations in E...

Archive ouverte: Article de revue

Creusé, Emmanuel | 2019-03-15

International audience. In this paper, two guaranteed equilibrated error estimators are proposed and compared for the 3D harmonic magnetodynamic problem of Maxwell's system. This system is recasted in the classical ...

Space-time residual-based a posteriori estimators for the A/Phi magneto dyn...

Archive ouverte: Article de revue

Creusé, Emmanuel | 2014

International audience. In this paper, an a posteriori residual error estimator is proposed for the A/Phi magnetodynamic Maxwell system given in its potential and space/time formulation and solved by a Finite Elemen...

Space-time residual-based a posteriori estimator for the A-phi formulation ...

Archive ouverte: Article de revue

Tittarelli, Roberta | 2015

International audience. 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...

Du même sujet

Goal-oriented error estimation based on equilibrated flux reconstruction fo...

Archive ouverte: Pré-publication, document de travail, ...

Creusé, Emmanuel | 2023-01-24

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...

Residual-based a posteriori estimators for the A/phi magnetodynamic harmoni...

Archive ouverte: Article de revue

Creusé, Emmanuel | 2012

International audience. This paper is devoted to the derivation of an a posteriori residual-based error estimator for the A/phi magnetodynamic harmonic formulation of the Maxwell system. The weak continuous and disc...

Residual-based a posteriori estimators for the T/Omega magnetodynamic harmo...

Archive ouverte: Article de revue

Creusé, Emmanuel | 2013

International audience. In this paper, we focus on an a posteriori residual-based error estimator for the T/Omega magnetodynamic harmonic formulation of the Maxwell system. Similarly to the A/Phi formulation, the we...

Space-time residual-based a posteriori estimators for the A/Phi magneto dyn...

Archive ouverte: Article de revue

Creusé, Emmanuel | 2014

International audience. In this paper, an a posteriori residual error estimator is proposed for the A/Phi magnetodynamic Maxwell system given in its potential and space/time formulation and solved by a Finite Elemen...

Generalised commensurability properties of efficiency measures: Implication...

Archive ouverte: Article de revue

Briec, Walter | 2022-12

International audience

Electrimacs'99 ISBN 972-98257-0-X

Archive ouverte: Communication dans un congrès

Francois, Bruno | 1999-09

This paper deals with a dynamic control of two induction motors supplied by a common five-phase power inverter. A complete formulation of the system and a control design procedure are presented. The inverter control is specially d...

Chargement des enrichissements...