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Scientific paper - Original scientific paper
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

Institutional repository: Repository of the Faculty of Civil Engineering, University of Zagreb

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

Dvornik, Josip, Damir Lazarević, Mario Uroš and 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), pp. 755-774. Available at: https://urn.nsk.hr/urn:nbn:hr:237:912961 (Accessed 14 November 2024)

Dvornik J, Lazarević D, Uroš M, Šavor Novak M. The Iterated Ritz Method: Basis, implementation and further development. Coupled Systems Mechanics [Internet]. 2018 [cited 2024 November 14];7(6):755-774. Available at: https://urn.nsk.hr/urn:nbn:hr:237:912961

J. Dvornik, D. Lazarević, M. Uroš and M. Šavor Novak, "The Iterated Ritz Method: Basis, implementation and further development", Coupled Systems Mechanics, vol. 7(6), pp. 755-774, 2018. [Online]. Available at: https://urn.nsk.hr/urn:nbn:hr:237:912961. [Accessed: 14 November 2024]

Metadata
Title (english)The Iterated Ritz Method: Basis, implementation and further development
AuthorJosip Dvornik
AuthorDamir Lazarević
AuthorMario Uroš
AuthorMarta Šavor Novak
Author's institutionUniversity of Zagreb
Faculty of Civil Engineering
Scientific / art field,
discipline and subdiscipline		TECHNICAL SCIENCES
Civil Engineering
Abstract (english)
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.
Keywords (english)
Languageenglish
Publication typeScientific paper - Original scientific paper
Publication statusPublished
Peer reviewPeer review - international
Publication versionPublished version
Journal titleCoupled Systems Mechanics
Numberingvol. 7(6), pp. 755-774
e-ISSN2234-2192
URN:NBNurn:nbn:hr:237:912961
Publication2018
Type of resourceText
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2024-09-05 10:14:37