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Titolo:
Conditioning of infinite element schemes for wave problems
Autore:
Astley, RJ; Coyette, JP;
Indirizzi:
Univ Canterbury, Dept Mech Engn, Christchurch 1, New Zealand Univ Canterbury Christchurch New Zealand 1 , Christchurch 1, New Zealand Free Field Technol SA, Louvain, Belgium Free Field Technol SA Louvain Belgium ield Technol SA, Louvain, Belgium
Titolo Testata:
COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING
fascicolo: 1, volume: 17, anno: 2001,
pagine: 31 - 41
SICI:
1069-8299(200101)17:1<31:COIESF>2.0.ZU;2-J
Fonte:
ISI
Lingua:
ENG
Soggetto:
SPHEROIDAL MULTIPOLE EXPANSION; ENVELOPE ELEMENTS; ACOUSTIC RADIATION; VARIABLE ORDER; TIME-DOMAIN; PROLATE; FORMULATION; SCATTERING; FINITE;
Keywords:
infinite elements; ill-conditioning; unbounded; Helmholtz problem;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Engineering, Computing & Technology
Citazioni:
24
Recensione:
Indirizzi per estratti:
Indirizzo: Astley, RJ Univ Canterbury, Dept Mech Engn, Private Bag 4800, Christchurch1, New Zealand Univ Canterbury Private Bag 4800 Christchurch New Zealand 1 nd
Citazione:
R.J. Astley e J.P. Coyette, "Conditioning of infinite element schemes for wave problems", COMMUN NUM, 17(1), 2001, pp. 31-41

Abstract

While a number of infinite element schemes have been implemented for time-harmonic unbounded wave problems in two and three dimensions, stability andconditioning of these schemes can limit the radial order at which they canbe applied. In this paper, the choice of radial basis functions is shown to influence the condition number of such schemes. This effect is illustrated for three formulations; the Bettess-Burnett formulation, the conjugated Burnett formulation and the Astley-Leis formulation. Calculated values for the condition number are presented for infinite element schemes based on an orthogonal modal decomposition at the finite element/infinite element interface, and for more conventional infinite element schemes based on a transverse finite element discretization. Ill-conditioning can be avoided in the two conjugated formulations by the selection of a suitable radial basis. In the case of the Bettess-Burnett formulation, the condition number increasesrapidly irrespective of the radial basis. The effect of the condition number on the convergence of the various schemes is also discussed. Copyright (C) 2001 John Wiley & Sons, Ltd.

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Documento generato il 26/01/20 alle ore 16:09:12