error estimation; mesh adaptation; electromagnetic fields; finite element methods
Abstract :
[en] This paper presents a complete methodology to control the quality of electromagnetic field computation using the finite element method. An error estimate is built up using the error in the constitutive relation. Proof is made that this estimate relates to the exact error in some cases. Both problems of control of quality and mesh optimisation are then discussed
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)
Henrotte, François
Genon, André ; Université de Liège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Dép. d'électric., électron. et informat. (Inst.Montefiore)
Legros, Willy
Language :
English
Title :
Error estimation and mesh optimisation using error in constitutive relation for electromagnetic field computation
Publication date :
November 1995
Journal title :
IEEE Transactions on Magnetics
ISSN :
0018-9464
eISSN :
1941-0069
Publisher :
IEEE, Piscataway, United States - New Jersey
Volume :
31
Issue :
6
Pages :
3587-3589
Peer reviewed :
Peer Reviewed verified by ORBi
Funders :
BELSPO - SPP Politique scientifique - Service Public Fédéral de Programmation Politique scientifique
N.A. Golias, T.D. Tsiboukis, “A-Posteriori adaptive mesh refinement in the finite element eddy current computation”, The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, COMPEL, vol. 11, no 1, pp. 249–252, 1991.
O.C. Zienldewicz, J.Z. Zhu, “A simple error estimate and adaptive procedure for practical engineering analysis”, International Journal for Numerical Methods in Engineering, vol. 24, pp. 337–357, 1987.
O.C. Zienkiewicz, J.Z. Zhu, “The superconvergent patch recovery and a posteriori error estimates: part I — The recovery technique”, International Journal for Numerical Methods in Engineering, vol. 33, pp. 1331–1364, 1992.
P. Coorevits, Maillage adaptatif anisotrope: application aux problèmes de dynamique, PhD thesis, Ecole Normale Supérieure de Cachan, France, 1993.
P. Ladveze, J.-P. Pelle, P. Rougeot,. “Error estimation and mesh optimisation for classical finite elements”, Engineering Computations, Vol. 8, Pineridge Press, pp. 69–80, 1990.
Chengjun LI, Modélisation tridimensionnelle des systèmes électromagnétiques à l'aide de formulations duales/complémentaires. Application au maillage auto-adaptatif, PhD Thesis, Université de Paris-Sud, France, 1993.
P. Rougeot, Sur le contrôle de la qualité des mailages éléments finis, PhD thesis, University Paris 6, France, 1989.
J.-P. Pelle, “Contrôle des Paramètres des Calculs Eléments Finis: Application au 3D et au Non-Linéaire”, Journée d'étude CSMA, Paris, 1994.
