AN ITERATIVE SOLUTION SCHEME FOR THE EXTERIOR NEUMANN PROBLEM FOR DELTA-2 USING FINITE-ELEMENTS IN A BOUNDED DOMAIN(KAPPA)

Authors
SHIRRON JJ
Citation
Jj. Shirron, AN ITERATIVE SOLUTION SCHEME FOR THE EXTERIOR NEUMANN PROBLEM FOR DELTA-2 USING FINITE-ELEMENTS IN A BOUNDED DOMAIN(KAPPA), The Journal of the Acoustical Society of America, 94(2), 1993, pp. 1121-1125
Citations number
13
Categorie Soggetti
Acoustics
Journal title
The Journal of the Acoustical Society of America → ACNP
ISSN journal
00014966
Volume
94
Issue
2
Year of publication
1993
Part
1
Pages
1121 - 1125
Database
ISI
SICI code
0001-4966(1993)94:2<1121:AISSFT>2.0.ZU;2-J
Abstract
A scheme is given for approximating the solution of the exterior Neuma nn problem for the Helmholtz equation that employs the finite element method in an artificially truncated domain. A sequence of approximate solutions is produced by iteration. The current iterate is used to com pute a boundary condition on the truncating surface for the next itera te. While precise conditions under which the proposed method is conver gent are not yet known, numerical experiments indicate its robustness.