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dc.contributor.authorSarmiento, Adel
dc.contributor.authorEspath, Luis
dc.contributor.authorVignal, P.
dc.contributor.authorDalcin, Lisandro
dc.contributor.authorParsani, Matteo
dc.contributor.authorCalo, V.M.
dc.date.accessioned2017-11-23T11:51:29Z
dc.date.available2017-11-23T11:51:29Z
dc.date.issued2017-11-16
dc.identifier.citationSarmiento AF, Espath LFR, Vignal P, Dalcin L, Parsani M, et al. (2017) An energy-stable generalized- α method for the Swift–Hohenberg equation. Journal of Computational and Applied Mathematics. Available: http://dx.doi.org/10.1016/j.cam.2017.11.004.
dc.identifier.issn0377-0427
dc.identifier.doi10.1016/j.cam.2017.11.004
dc.identifier.urihttp://hdl.handle.net/10754/626194
dc.description.abstractWe propose a second-order accurate energy-stable time-integration method that controls the evolution of numerical instabilities introducing numerical dissipation in the highest-resolved frequencies. Our algorithm further extends the generalized-α method and provides control over dissipation via the spectral radius. We derive the first and second laws of thermodynamics for the Swift–Hohenberg equation and provide a detailed proof of the unconditional energy stability of our algorithm. Finally, we present numerical results to verify the energy stability and its second-order accuracy in time.
dc.description.sponsorshipThis publication was made possible in part by the CSIRO Professorial Chair in Computational Geoscience at Curtin University and the Deep Earth Imaging Enterprise Future Science Platforms of the Commonwealth Scientific Industrial Research Organisation, CSIRO, of Australia. Additional support was provided by the European Union’s Horizon 2020 Research and Innovation Program of the Marie Skłodowska-Curie grant agreement No. 644602 and the Curtin Institute for Computation. The J. Tinsley Oden Faculty Fellowship Research Program at the Institute for Computational Engineering and Sciences (ICES) of the University of Texas at Austin has partially supported the visits of VMC to ICES.
dc.publisherElsevier BV
dc.relation.urlhttp://www.sciencedirect.com/science/article/pii/S0377042717305642
dc.rightsNOTICE: this is the author’s version of a work that was accepted for publication in Journal of Computational and Applied Mathematics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Computational and Applied Mathematics, [, , (2017-11-16)] DOI: 10.1016/j.cam.2017.11.004 . © 2017. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectSwift-Hohenberg equation
dc.subjectEnergy stability
dc.subjectTime integration
dc.subjectPattern formation
dc.subjectNumerical instability
dc.subjectNumerical dissipation
dc.titleAn energy-stable generalized- α method for the Swift–Hohenberg equation
dc.typeArticle
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentExtreme Computing Research Center
dc.identifier.journalJournal of Computational and Applied Mathematics
dc.eprint.versionPost-print
dc.contributor.institutionLeica Microsystems, Applied Microscopy, Dubai, United Arab Emirates
dc.contributor.institutionCurtin Institute for Computation, Curtin University, Perth, WA, 6845, Australia
dc.contributor.institutionMineral Resources, Commonwealth Scientific and Industrial Research Organization (CSIRO), Kensington, WA, 6152, Australia
dc.contributor.institutionApplied Geology, Western Australian School of Mines, Faculty of Science and Engineering, Curtin University, Perth, WA, 6845, Australia
kaust.personSarmiento, Adel
kaust.personEspath, Luis
kaust.personDalcin, Lisandro
kaust.personParsani, Matteo
refterms.dateFOA2019-11-16T00:00:00Z
dc.date.published-online2017-11-16
dc.date.published-print2018-12


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