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The Iterated Ritz Method: Basis, implementation and further development
Coupled Systems Mechanics, 7(6) (2018); 755-774. urn:nbn:hr:237:912961
Dvornik, Josip; Lazarević, Damir; Uroš, Mario; Šavor Novak, Marta

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Dvornik, J., Lazarević, D., Uroš, M. i Šavor Novak, M. (2018). The Iterated Ritz Method: Basis, implementation and further development. Coupled Systems Mechanics, 7(6)., 755-774. Preuzeto s https://urn.nsk.hr/urn:nbn:hr:237:912961

Dvornik, Josip, et al. "The Iterated Ritz Method: Basis, implementation and further development." Coupled Systems Mechanics, vol. 7(6), 2018, str. 755-774. https://urn.nsk.hr/urn:nbn:hr:237:912961

Dvornik, Josip, Damir Lazarević, Mario Uroš i Marta Šavor Novak. "The Iterated Ritz Method: Basis, implementation and further development." Coupled Systems Mechanics 7(6) (2018): 755-774. https://urn.nsk.hr/urn:nbn:hr:237:912961

Dvornik, J., et al. (2018) 'The Iterated Ritz Method: Basis, implementation and further development', Coupled Systems Mechanics, 7(6), str. 755-774. Preuzeto s: https://urn.nsk.hr/urn:nbn:hr:237:912961 (Datum pristupa: 09.10.2024.)

Dvornik J, Lazarević D, Uroš M, Šavor Novak M. The Iterated Ritz Method: Basis, implementation and further development. Coupled Systems Mechanics [Internet]. 2018. [pristupljeno 09.10.2024.];7(6):755-774. Dostupno na: https://urn.nsk.hr/urn:nbn:hr:237:912961

J. Dvornik, D. Lazarević, M. Uroš i M. Šavor Novak, "The Iterated Ritz Method: Basis, implementation and further development", Coupled Systems Mechanics, vol. 7(6), str. 755-774, 2018. [Online]. Dostupno na: https://urn.nsk.hr/urn:nbn:hr:237:912961. [Citirano: 09.10.2024.]

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Podaci o radu
Naslov (engleski)The Iterated Ritz Method: Basis, implementation and further development
AutorJosip Dvornik
AutorDamir Lazarević
AutorMario Uroš
AutorMarta Šavor Novak
Autorova ustanovaSveučilište u Zagrebu
Građevinski fakultet
Znanstveno / umjetničko
područje, polje i grana		TEHNIČKE ZNANOSTI
Građevinarstvo
Sažetak (engleski)
The Ritz method is known as very successful strategy for discretizing continuous problems, but it has never been used for solving systems of algebraic equations. The Iterated Ritz Method (IRM) is a novel iterative solver based on the discretized Ritz procedure applied at each iteration step. With an appropriate choice of coordinate vectors, the method may be efficient in linear, nonlinear and optimization problems. Additionally, some iterative methods can be explained as special cases of this approach, which helps to understand advantages and limitations of these methods and gives motivation for their improvement in sense of IRM. In this paper, some ideas for generation of efficient coordinate vectors are presented. The algorithm was developed and tested independently and then implemented into the open source program FEAP. Method has been successfully applied to displacement based (even ill-conditioned) models of structural engineering practice. With this original approach, a new iterative solution strategy has been opened.
Ključne riječi (engleski)
Jezikengleski
Vrsta publikacijeZnanstveni rad - Izvorni znanstveni rad
Status objaveObjavljen
Vrsta recenzijeRecenziran - međunarodna recenzija
Verzija publikacijeObjavljena verzija rada (izdavačev PDF)
Naslov časopisaCoupled Systems Mechanics
Brojčani podacivol. 7(6), str. 755-774
e-ISSN2234-2192
URN:NBNurn:nbn:hr:237:912961
Datum objave publikacije2018
Vrsta resursaTekst
Prava pristupaOtvoreni pristup
Uvjeti korištenjaIkona licence Zaštićeno autorskim pravom.
Datum i vrijeme pohrane2024-09-05 10:14:37