Space-Time Residual-Based A Posteriori Estimators for the A−ϕ Magnetodynamic Formulation of the Maxwell System-Reference-Cited by-同舟云学术

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

Published:2014-10-01 Issue:4 Volume:14 Page:429-460
ISSN:1609-4840
Container-title:Computational Methods in Applied Mathematics
language:
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Author:

Creusé Emmanuel¹,Nicaise Serge²,Tittarelli Roberta³

Affiliation:

1. 1Laboratoire Paul Painlevé UMR 8524 and EPI SIMPAF INRIA Lille Nord Europe, Université Lille 1, Cité Scientifique, 59655 Villeneuve d'Ascq Cedex, France

2. 2Laboratoire de Mathématiques et leurs Applications de Valenciennes FR CNRS 2956, Université de Valenciennes et du Hainaut Cambrésis, Institut des Sciences et Techniques de Valenciennes, 59313 Valenciennes Cedex 9, France

3. 3Laboratoire Paul Painlevé UMR 8524, Laboratoire d' Electrotechnique et d' Electronique de Puissance de Lille, Université Lille 1, Cité Scientifique, 59655 Villeneuve d'Ascq Cedex; and EDF Division Recherche et Développement, 1, avenue du Général de Gaulle, 92141 Clamart Cedex, France

Abstract

AbstractIn 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.

Funder

EDF R&D

Labex CEMPI

MEDEE project

European Regional Development Fund

Region Nord-Pas-de-Calais

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis

Link

https://www.degruyter.com/downloadpdf/journals/cmam/14/4/article-p429.xml

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