Effectivity of the Verfurth's error estimator for the FE solution of the Helmholtz equation

Authors
Irimie, S Bouillard, P
Citation
S. Irimie et P. Bouillard, Effectivity of the Verfurth's error estimator for the FE solution of the Helmholtz equation, CR AC S IIB, 328(1), 2000, pp. 67-71
Citations number
3
Categorie Soggetti
Multidisciplinary
Journal title
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE II FASCICULE B-MECANIQUE PHYSIQUE ASTRONOMIE
ISSN journal
12874620 → ACNP
Volume
328
Issue
1
Year of publication
2000
Pages
67 - 71
Database
ISI
SICI code
1287-4620(200001)328:1<67:EOTVEE>2.0.ZU;2-2
Abstract
The finite element solution of Helmholtz equation is dispersive and the exi stent a posteriori error estimators underestimate the pollution error impli ed by this phenomenon. In this paper a new type of residual estimator for t he Helmholtz operator is proposed and tested on a one-dimensional model pro blem. The numerical results show that the error is correctly estimated but new difffculties appear in the exact evaluation of problem dependent consta nts. (C) 2000 Academie des sciences/Editions scientifiques et medicales Els evier SAS.