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Pregled bibliografske jedinice broj: 421012

Zbornik radova

Autori: Kavčič, Iva; Rogina, Mladen; Bosner, Tina
Naslov: Comparison of Operator– Fitted methods for Singularly Perturbed Advection– Diffusion– Reaction Problems
Izvornik: Proceedings of the 3rd International Conference on Approximation Methods and numerical Modeling in Environment and Natural Resources (MAMERN 2009) / Amaziane, B. ; Barrera D. ; Fortes M. A. ; Ibanez, M. J. ; Odunlami, M. ; Palomares, A. ; Pasadas, M. ; Rodriguez M. L. ; Sbibih, D. (ur.). - Granada, Španjolska : Imprenta Comercial. Motril. Granada , 2009. 521-525 (ISBN: 978-84-338-5006-5).
Skup: 3rd International Conference on Approximation Methods and numerical Modeling in Environment and Natural Resources (MAMERN 2009)
Mjesto i datum: Pau, Francuska, 08-11.06.2009.
Ključne riječi: Singular perturbations; collocation; difference schemes; exponential splines
Sažetak:
We compare classical methods for singular perturbation problems, such as El– Mistikawy and Werle scheme and its modifications, to exponential spline collocation schemes. We discuss subtle differences that exist in applying this method to reaction– diffusion problems and advection– diffusion problems. If the advection– diffusion– reaction problem is specified in such a way that two boundary internal layers exist, collocation method is incapable of capturing only one boundary layer, which happens when no reaction term is present. Thus the existing collocation scheme in which the approximate solution is a projection to the space piecewisely spanned by {;1, x, exp (± px)}; is inferior to the generalization of El– Mistikawy and Werle method proposed by Ramos. We show how to remedy this situation by considering projections to spaces locally spanned by {;1, x, x^2, exp (px)};, where p > 0 is a tension parameter. Next, we exploit a unique feature of collocation methods, that is, the existence of special collocation points which yield better global convergence rates and double the convergence order at the knots.
Vrsta sudjelovanja: Predavanje
Vrsta prezentacije u zborniku: Cjeloviti rad (više od 1500 riječi)
Vrsta recenzije: Međunarodna recenzija
Projekt / tema: 037-1193086-2771
Izvorni jezik: ENG
Kategorija: Znanstveni
Znanstvena područja:
Matematika
Puni text rada: 421012.Mamern09_Kavcic.pdf (tekst priložen 30. Lip. 2009. u 16:17 sati)
URL Internet adrese: http://lma.univ-pau.fr/meet/mamern09/
Upisao u CROSBI: ikavcic@geolpmf.hr (ikavcic@geolpmf.hr), 30. Lip. 2009. u 16:17 sati



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