finite element methods; error estimation; mesh adaptation
Abstract :
[en] The paper presents a method to control the quality of finite element solutions error in the constitutive relation. An a posteriori estimator is built up. Its construction is general and gives quantitative results about the accuracy of the solution. Both problems of control of quality and mesh optimisation are also discussed. Several examples are presented. A method used to compute a magnetic field that verifies Ampere's law using only local calculations is presented.
Disciplines :
Electrical & electronics engineering
Author, co-author :
Remacle, Jean-François
Dular, Patrick ; Université de Liège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Applied and Computational Electromagnetics (ACE)
Genon, André
Legros, Willy
Language :
English
Title :
A posteriori error estimation and adaptive meshing using error in constitutive relation
Publication date :
May 1996
Journal title :
IEEE Transactions on Magnetics
ISSN :
0018-9464
eISSN :
1941-0069
Publisher :
IEEE, Piscataway, United States - New Jersey
Volume :
32
Issue :
3
Pages :
1369-1372
Peer reviewed :
Peer Reviewed verified by ORBi
Funders :
BELSPO - SPP Politique scientifique - Service Public Fédéral de Programmation Politique scientifique
scite shows how a scientific paper has been cited by providing the context of the citation, a classification describing whether it supports, mentions, or contrasts the cited claim, and a label indicating in which section the citation was made.
Bibliography
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