Transactions of FAMENA, Vol. 44 No. 1, 2020.
Original scientific paper
https://doi.org/10.21278/TOF.44101
Mixed Meshless Local Petrov-Galerkin Methods for Solving Linear Fourth-Order Differential Equations
Tomsilav Jarak
; University of Zagreb, Faculty of Mechanical Engineering and Naval Architecture, Zagreb, Croatia
Boris Jalušić
; University of Zagreb, Faculty of Mechanical Engineering and Naval Architecture, Zagreb, Croatia
Jurica Sorić
; University of Zagreb, Faculty of Mechanical Engineering and Naval Architecture, Zagreb, Croatia
Abstract
The paper presents meshless methods based on the mixed Meshless Local Petrov-Galerkin approach used for solving linear fourth-order differential equations. In all the methods presented here, the primary variable and its derivatives up to the third order are approximated separately. Three different mixed meshless methods are derived by different choices of test and trial functions and are verified using available analytical and reference solutions. The numerical performance of the presented algorithms is demonstrated by several representative numerical examples.
Keywords
meshless; mixed Meshless Local Petrov-Galerkin methods; fourth-order differential equations; thin beams; strain gradient elasticity
Hrčak ID:
236876
URI
Publication date:
6.5.2020.
Visits: 1.314 *