Accessible Requires Authentication Published by De Gruyter May 23, 2014

Space-Time Residual-Based A Posteriori Estimators for the A−ϕ Magnetodynamic Formulation of the Maxwell System

Emmanuel Creusé, Serge Nicaise and Roberta Tittarelli

Abstract

In this paper, an a posteriori residual error estimator is proposed for the A−ϕ magnetodynamic Maxwell system given in its potential and space/time formulation and solved by a finite element method. The reliability as well as the efficiency of the estimator are established for several norms. Then, numerical tests are performed, allowing to illustrate the obtained theoretical results.

Funding source: EDF R&D

Funding source: Labex CEMPI

Award Identifier / Grant number: ANR-11-LABX-0007-01

Funding source: MEDEE project

Funding source: European Regional Development Fund

Funding source: Region Nord-Pas-de-Calais

We wish to thank Olivier Boiteau, Yvonnick Le Menach, Olivier Moreau and Francis Piriou for very fruitful discussions about the results presented in this paper, as well as the referees for their remarks concerning the first version of this work.

Received: 2013-12-19
Revised: 2014-4-24
Accepted: 2014-5-2
Published Online: 2014-5-23
Published in Print: 2014-10-1

© 2014 by De Gruyter