Naslov
Adaptive Fup Collocation Method for Time Dependent Partial Differential Equations

Autori
Gotovac, Hrvoje ; Kozulić, Vedrana ; Sesartić, Renata ; Brajčić, Nives ; Čolak, Ivo

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

Izvornik
Annals of DAAAM and Proceedings of the International DAAAM Symposium / - Beč : DAAAM International Vienna, 2009, 1889-1890

ISBN
978-390150970-4

Skup
Annals of DAAAM for 2009 and 20th International DAAAM Symposium "Intelligent Manufacturing and Automation: Focus on Theory, Practice and Education"

Mjesto i datum
Beč, Austrija, 25.11.2009. - 28.11.2009

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Fup basis functions ; Meshless method ; Partial differential equations

Sažetak
We present an adaptive method for numerical solving boundary-initial value problems. To solve 1D initial boundary value problem, we convert the problem into 2D problem. This boundary value problem is then solved by using infinitely differentiable basis functions with compact support called Fup basis functions and the collocation technique. Partial differential equations are solved simultaneously in the space- time domain with resolved all space and time multiple scales. The proposed method is generally meshless method because it requires only adding of collocation points and basis functions over the domain, not the classic domain discretization and the numerical integration. Numerical adaptive algorithm adds new collocation points in the next resolution level only in the space-time zones where solution correction is greater than the prescribed threshold. With this approach, the Fup coefficients measure the local fluctuation of the solution simultaneously in space and time.

Izvorni jezik
Engleski

Znanstvena područja
Građevinarstvo

POVEZANOST RADA