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MESHLESS METHOD BASED ON THE R-FUNCTIONS AND ATOMIC BASIS FUNCTIONS FOR THE SOLUTION OF TWO-DIMENSIONAL BOUNDARY VALUE PROBLEMS


Kozulić, Vedrana; Gotovac, Blaž; Kamber, Grgo
MESHLESS METHOD BASED ON THE R-FUNCTIONS AND ATOMIC BASIS FUNCTIONS FOR THE SOLUTION OF TWO-DIMENSIONAL BOUNDARY VALUE PROBLEMS // Proceedings Multiscale computational methods for solids and fluids / Ibrahimbegović, Adnan ; Brank, Boštjan ; Kožar, Ivica (ur.).
Ljubljana: University of Ljubljana, 2017. str. 171-174 (predavanje, međunarodna recenzija, cjeloviti rad (in extenso), znanstveni)


Naslov
MESHLESS METHOD BASED ON THE R-FUNCTIONS AND ATOMIC BASIS FUNCTIONS FOR THE SOLUTION OF TWO-DIMENSIONAL BOUNDARY VALUE PROBLEMS

Autori
Kozulić, Vedrana ; Gotovac, Blaž ; Kamber, Grgo

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

Izvornik
Proceedings Multiscale computational methods for solids and fluids / Ibrahimbegović, Adnan ; Brank, Boštjan ; Kožar, Ivica - Ljubljana : University of Ljubljana, 2017, 171-174

ISBN
978-961-6884-48-8

Skup
3rd International Conference on Multiscale Computational Methods for Solids and Fluids

Mjesto i datum
Ljubljana, Slovenija, 20-22.09.2017

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Meshless method ; solution structure ; collocation ; boundary conditions ; atomic functions

Sažetak
This paper presents a meshless method based on the theory of R-functions. The solution of a boundary value problem is expressed in the form of formulae called solution structure which depends on three components: the first component describes the geometry of the domain exactly in analytical form, the second describes all boundary conditions exactly, while the third component is called differential component because it contains information about governing equation. Unknown differential component of the solution structure is represented by a linear combination of atomic basis functions which are infinitely differentiable functions with compact support. To determine the coefficients of linear combination in the solution structure, a collocation technique is used. The proposed method is applied to solve the torsion problem of a prismatic bar.

Izvorni jezik
Engleski



POVEZANOST RADA


Projekt / tema
HRZZ-UIP-2013-11-8103 - Modeliranje toka podzemnih voda u krškim vodonosnicima (Hrvoje Gotovac, )