A residual a posteriori error estimator for the finite element solution ofthe Helmholtz equation

Authors
Irimie, S Bouillard, P
Citation
S. Irimie et P. Bouillard, A residual a posteriori error estimator for the finite element solution ofthe Helmholtz equation, COMPUT METH, 190(31), 2001, pp. 4027-4042
Citations number
9
Categorie Soggetti
Mechanical Engineering
Journal title
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
ISSN journal
00457825 → ACNP
Volume
190
Issue
31
Year of publication
2001
Pages
4027 - 4042
Database
ISI
SICI code
0045-7825(2001)190:31<4027:ARAPEE>2.0.ZU;2-Z
Abstract
This paper suggests an expression of a residual-based a posteriori error es timation for a Galerkin finite element discretisation of the Helmholtz oper ator applied in acoustics. In the first part, we summarise the finite eleme nt approach and the a priori estimates. The new residual estimator is then formulated, illustrated and tested on two one-dimensional model problems wi th closed form solution. (C) 2001 Elsevier Science B.V. All rights reserved .