ERROR ESTIMATOR IN LINEAR MAGNETOSTATIC 2D

Citation
F. Marmin et al., ERROR ESTIMATOR IN LINEAR MAGNETOSTATIC 2D, EUROPEAN PHYSICAL JOURNAL-APPLIED PHYSICS, 1(2), 1998, pp. 203-209
Citations number
12
Categorie Soggetti
Physics, Applied
ISSN journal
12860042
Volume
1
Issue
2
Year of publication
1998
Pages
203 - 209
Database
ISI
SICI code
1286-0042(1998)1:2<203:EEILM2>2.0.ZU;2-O
Abstract
In this paper, an error estimator is used to control the quality of fi nite element solution in linear magnetostatic. This method, based on t he works of P. Ladeveze, consists in constructing a complementary admi ssible field from the one, calculated by the finite element method. Th e quality of finite element solution is measured by comparing the coup le of admissible solutions. This method has been developed in 2D in th e case of scalar and vector potential formulations. To show the effect iveness of this error estimator, we present three simple examples, one of them having a known exact solution.