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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

Fulltext: english, pdf (714 KB) pages 1-12 downloads: 79* cite
APA 6th Edition
Jarak, T., Jalušić, B. & Sorić, J. (2020). Mixed Meshless Local Petrov-Galerkin Methods for Solving Linear Fourth-Order Differential Equations. Transactions of FAMENA, 44 (1), 1-12. https://doi.org/10.21278/TOF.44101
MLA 8th Edition
Jarak, Tomsilav, et al. "Mixed Meshless Local Petrov-Galerkin Methods for Solving Linear Fourth-Order Differential Equations." Transactions of FAMENA, vol. 44, no. 1, 2020, pp. 1-12. https://doi.org/10.21278/TOF.44101. Accessed 28 Nov. 2020.
Chicago 17th Edition
Jarak, Tomsilav, Boris Jalušić and Jurica Sorić. "Mixed Meshless Local Petrov-Galerkin Methods for Solving Linear Fourth-Order Differential Equations." Transactions of FAMENA 44, no. 1 (2020): 1-12. https://doi.org/10.21278/TOF.44101
Harvard
Jarak, T., Jalušić, B., and Sorić, J. (2020). 'Mixed Meshless Local Petrov-Galerkin Methods for Solving Linear Fourth-Order Differential Equations', Transactions of FAMENA, 44(1), pp. 1-12. https://doi.org/10.21278/TOF.44101
Vancouver
Jarak T, Jalušić B, Sorić J. Mixed Meshless Local Petrov-Galerkin Methods for Solving Linear Fourth-Order Differential Equations. Transactions of FAMENA [Internet]. 2020 [cited 2020 November 28];44(1):1-12. https://doi.org/10.21278/TOF.44101
IEEE
T. Jarak, B. Jalušić and J. Sorić, "Mixed Meshless Local Petrov-Galerkin Methods for Solving Linear Fourth-Order Differential Equations", Transactions of FAMENA, vol.44, no. 1, pp. 1-12, 2020. [Online]. https://doi.org/10.21278/TOF.44101

Abstracts
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

Projects
HRZZ / IP / IP-2013-11-2516 / MNumMacroNano - Multiscale Numerical Modeling of Material Deformation Responses from Macro- to Nanolevel

Hrčak ID: 236876

URI
https://hrcak.srce.hr/236876

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