A posteriori finite element error bounds for non-linear outputs of the Helmholtz equation

Authors
Sarrate, J Peraire, J Patera, A
Citation
J. Sarrate et al., A posteriori finite element error bounds for non-linear outputs of the Helmholtz equation, INT J NUM F, 31(1), 1999, pp. 17-36
Citations number
26
Categorie Soggetti
Mechanical Engineering
Journal title
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
ISSN journal
02712091 → ACNP
Volume
31
Issue
1
Year of publication
1999
Pages
17 - 36
Database
ISI
SICI code
0271-2091(19990915)31:1<17:APFEEB>2.0.ZU;2-B
Abstract
A Neumann subproblem a posteriori finite element procedure for the efficien t and accurate calculation of rigorous, constant-free upper and lower bound s for non-linear outputs of the Helmholtz equation in two-dimensional exter ior domains is presented. The bound procedure is firstly formulated, with p articular emphasis on appropriate extension to complex-valued equations; th en, illustrative numerical examples for outputs, such as the intensity of t he scattered wave over a small segment of the domain boundary, are provided . Copyright (C) 1999 John Wiley gr Sons, Ltd.