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dc.contributor.authorKosmas, Odysseas; orcid: 0000-0002-7047-9438; email: odysseas.kosmas@manchester.ac.uk
dc.date.accessioned2021-06-28T01:24:55Z
dc.date.available2021-06-28T01:24:55Z
dc.date.issued2021-06-24
dc.identifierhttps://chesterrep.openrepository.com/bitstream/handle/10034/625069/applmech-02-00024.pdf?sequence=2
dc.identifierhttps://chesterrep.openrepository.com/bitstream/handle/10034/625069/additional-files.zip?sequence=3
dc.identifierhttps://chesterrep.openrepository.com/bitstream/handle/10034/625069/applmech-02-00024.xml?sequence=4
dc.identifier.citationApplied Mechanics, volume 2, issue 3, page 431-441
dc.identifier.urihttp://hdl.handle.net/10034/625069
dc.descriptionFrom MDPI via Jisc Publications Router
dc.descriptionHistory: accepted 2021-06-18, pub-electronic 2021-06-24
dc.descriptionPublication status: Published
dc.description.abstractIn previous works we developed a methodology of deriving variational integrators to provide numerical solutions of systems having oscillatory behavior. These schemes use exponential functions to approximate the intermediate configurations and velocities, which are then placed into the discrete Lagrangian function characterizing the physical system. We afterwards proved that, higher order schemes can be obtained through the corresponding discrete Euler–Lagrange equations and the definition of a weighted sum of “continuous intermediate Lagrangians” each of them evaluated at an intermediate time node. In the present article, we extend these methods so as to include Lagrangians of split potential systems, namely, to address cases when the potential function can be decomposed into several components. Rather than using many intermediate points for the complete Lagrangian, in this work we introduce different numbers of intermediate points, resulting within the context of various reliable quadrature rules, for the various potentials. Finally, we assess the accuracy, convergence and computational time of the proposed technique by testing and comparing them with well known standards.
dc.languageen
dc.publisherMDPI
dc.rightsLicence for this article: https://creativecommons.org/licenses/by/4.0/
dc.sourceeissn: 2673-3161
dc.subjectvariational integrators
dc.subjectdiscrete variational mechanics
dc.subjectexponential integrators
dc.titleEnergy Minimization Scheme for Split Potential Systems Using Exponential Variational Integrators
dc.typearticle
dc.date.updated2021-06-28T01:24:55Z
dc.date.accepted2021-06-18


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