prikaz prve stranice dokumenta Iterated Ritz and conjugate gradient methods as solvers in constrained form-finding: A comparison
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Scientific paper - Original scientific paper
Iterated Ritz and conjugate gradient methods as solvers in constrained form-finding: A comparison
Heliyon, 7(5) (2021); e07011. https://doi.org/10.1016/j.heliyon.2021.e07011
Šamec, Elizabeta; Gidak, Petra; Fresl, Krešimir

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

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Šamec, E., Gidak, P. & Fresl, K. (2021). Iterated Ritz and conjugate gradient methods as solvers in constrained form-finding: A comparison. Heliyon, 7(5).. doi: 10.1016/j.heliyon.2021.e07011

Šamec, Elizabeta, et al. "Iterated Ritz and conjugate gradient methods as solvers in constrained form-finding: A comparison." Heliyon, vol. 7(5), 2021. https://doi.org/10.1016/j.heliyon.2021.e07011

Šamec, Elizabeta, Petra Gidak and Krešimir Fresl. "Iterated Ritz and conjugate gradient methods as solvers in constrained form-finding: A comparison." Heliyon 7(5) (2021). https://doi.org/10.1016/j.heliyon.2021.e07011

Šamec, E., Gidak, P. and Fresl, K. (2021) 'Iterated Ritz and conjugate gradient methods as solvers in constrained form-finding: A comparison', Heliyon, 7(5). doi: 10.1016/j.heliyon.2021.e07011

Šamec E, Gidak P, Fresl K. Iterated Ritz and conjugate gradient methods as solvers in constrained form-finding: A comparison. Heliyon [Internet]. 2021 [cited 2024 October 08];7(5). doi: 10.1016/j.heliyon.2021.e07011

E. Šamec, P. Gidak and K. Fresl, "Iterated Ritz and conjugate gradient methods as solvers in constrained form-finding: A comparison", Heliyon, vol. 7(5), 2021. [Online]. Available at: https://urn.nsk.hr/urn:nbn:hr:237:107618. [Accessed: 08 October 2024]

Metadata
Title (english)Iterated Ritz and conjugate gradient methods as solvers in constrained form-finding: A comparison
AuthorElizabeta Šamec
AuthorPetra Gidak
AuthorKrešimir Fresl
Author's institutionUniversity of Zagreb
Faculty of Civil Engineering
Scientific / art field,
discipline and subdiscipline		TECHNICAL SCIENCES
Civil Engineering
Abstract (english)
Constrained form-finding results in a nonlinear system of equations unless a linear form-finding method (force density method) is iteratively applied until the given constraints are satisfied. Because the goal of this paper is to contribute to the further development of this method, a brief overview of the method and its existing improvements is provided. Further improvement can be potentially expected by reducing the number of iteration steps in solving systems of linear equations in each application of the force density method. To explore this, a comparison of iterative linear solvers is conducted. The Iterated Ritz method, as a new promising solver (currently under development), was chosen for comparison with typically used conjugate gradients. Form-finding of several truss structures in both tension and compression was performed to compare the number of iteration steps necessary to obtain the solution. The presented form-finding examples indicated a significant reduction in the number of solver iteration steps, showing the potential of the Iterated Ritz method for use as a solver in linear procedures for constrained form-finding.
Keywords (english)
Languageenglish
Publication typeScientific paper - Original scientific paper
Publication statusPublished
Peer reviewPeer review - international
Publication versionPublished version
Journal titleHeliyon
Numberingvol. 7(5), e07011
p-ISSN2405-8440
DOIhttps://doi.org/10.1016/j.heliyon.2021.e07011
URN:NBNurn:nbn:hr:237:107618
Publication2021
Type of resourceText
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2024-09-04 18:45:56