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Explicit Adaptive Fup Collocation Method for solving the parabolic problems


Gotovac, Hrvoje; Srzić, Veljko; Radelja, Tonći; Kozulić, Vedrana
Explicit Adaptive Fup Collocation Method for solving the parabolic problems // Proceedings of the 4th European Conference on Computational Mechanics / Allix, Olivier ; Wriggers, Peter (ur.).
Paris, 2010. (predavanje, međunarodna recenzija, cjeloviti rad (in extenso), znanstveni)


Naslov
Explicit Adaptive Fup Collocation Method for solving the parabolic problems

Autori
Gotovac, Hrvoje ; Srzić, Veljko ; Radelja, Tonći ; Kozulić, Vedrana

Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni

Izvornik
Proceedings of the 4th European Conference on Computational Mechanics / Allix, Olivier ; Wriggers, Peter - Paris, 2010

Skup
4th European Conference on Computational Mechanics

Mjesto i datum
Pariz, Francuska, 16-21.05.2010

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Explicit integration; Fup basis function; adaptive algortithm; parabolic problems

Sažetak
In this paper we will present meshless Adaptive Fup Collocation Method (AFCM) based on Fup basis functions and collocation approach for spatial approximation [2] and explicit stabilized Runge-Kutta temporal integration especially well suited for stiff parabolic problems [3]. The basic scheme of MOL methodology was described in [2], but now we improve efficiency of the spatial approximation, introduce a novel explicit time integration scheme and therefore significantly increase capabilities of the methodology for a real demanding 2-D and 3-D stiff parabolic problems. On the other side, we implement stabilized Runge–Kutta methods (they have also been called Chebyshev–Runge–Kutta methods) which are explicit methods with extended stability domains, usually along the negative real axis. Due to demonstrative purposes, we present the efficiency of the AFCM to the Henry saltwater benchmark example of groundwater density driven flow.

Izvorni jezik
Engleski

Znanstvena područja
Građevinarstvo



POVEZANOST RADA


Projekt / tema
083-0831529-1528 - Pronos zagađenja u podzemlju i procjena rizika kao posljedica odlaganja otpada (Roko Andričević, )
083-0831541-1534 - Adaptivno bezmrežno modeliranje u projektiranju građevinskih konstrukcija (Vedrana Kozulić, )

Ustanove
Fakultet građevinarstva, arhitekture i geodezije, Split