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Titolo:
Multilevel stabilization of convection-diffusion problems by variable-order inner products
Autore:
Canuto, C;
Indirizzi:
Politecn Turin, Dipartimento Matemat, I-10129 Turin, Italy Politecn TurinTurin Italy I-10129 timento Matemat, I-10129 Turin, Italy
Titolo Testata:
COMPUTING
fascicolo: 2, volume: 66, anno: 2001,
pagine: 121 - 138
SICI:
0010-485X(2001)66:2<121:MSOCPB>2.0.ZU;2-T
Fonte:
ISI
Lingua:
ENG
Soggetto:
WAVELET ELEMENT METHOD;
Keywords:
coerciveness; inf-sup condition; stabilization; multilevel bases; wavelets; convection-diffusion problems;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Engineering, Computing & Technology
Citazioni:
22
Recensione:
Indirizzi per estratti:
Indirizzo: Canuto, C Politecn Turin, Dipartimento Matemat, Corso Duca degli Abruzzi 24, I-10129Turin, Italy Politecn Turin Corso Duca degli Abruzzi 24 Turin Italy I-10129
Citazione:
C. Canuto, "Multilevel stabilization of convection-diffusion problems by variable-order inner products", COMPUTING, 66(2), 2001, pp. 121-138

Abstract

We are concerned with the task of stabilizing discrete approximations to convection-diffusion problems. We propose to consistently modify the exact variational formulation of the problem by adding a fractional order inner product. involving the residual of the equation. The inner product is expressed through a multilevel decomposition or its arguments. in terms of components along a multiscale basis. The order of the inner product locally variesfrom -1/2 to -1, depending on the value of a suitably defined multiscale Peclet number. Numerical approximations obtained via the Galerkin method applied to the modified formulation are analyzed.

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Documento generato il 29/11/20 alle ore 06:38:34