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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

Puni tekst: engleski, pdf (714 KB) str. 1-12 preuzimanja: 79* citiraj
APA 6th Edition
Jarak, T., Jalušić, B. i 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, br. 1, 2020, str. 1-12. https://doi.org/10.21278/TOF.44101. Citirano 27.11.2020.
Chicago 17th Edition
Jarak, Tomsilav, Boris Jalušić i Jurica Sorić. "Mixed Meshless Local Petrov-Galerkin Methods for Solving Linear Fourth-Order Differential Equations." Transactions of FAMENA 44, br. 1 (2020): 1-12. https://doi.org/10.21278/TOF.44101
Harvard
Jarak, T., Jalušić, B., i Sorić, J. (2020). 'Mixed Meshless Local Petrov-Galerkin Methods for Solving Linear Fourth-Order Differential Equations', Transactions of FAMENA, 44(1), str. 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 [pristupljeno 27.11.2020.];44(1):1-12. https://doi.org/10.21278/TOF.44101
IEEE
T. Jarak, B. Jalušić i J. Sorić, "Mixed Meshless Local Petrov-Galerkin Methods for Solving Linear Fourth-Order Differential Equations", Transactions of FAMENA, vol.44, br. 1, str. 1-12, 2020. [Online]. https://doi.org/10.21278/TOF.44101

Sažetak
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.

Ključne riječi
meshless; mixed Meshless Local Petrov-Galerkin methods; fourth-order differential equations; thin beams; strain gradient elasticity

Projekti
HRZZ / IP / IP-2013-11-2516 / MNumMacroNano - Višeskalno numeričko modeliranje deformiranja materijala od makro do nanorazine

Hrčak ID: 236876

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

Posjeta: 175 *