Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/44830
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dc.contributor.authorTHEODOSIOU, Eleni-
dc.contributor.authorBRINGEDAL, Carina-
dc.contributor.authorSCHUETZ, Jochen-
dc.date.accessioned2024-12-11T08:23:05Z-
dc.date.available2024-12-11T08:23:05Z-
dc.date.issued2024-
dc.date.submitted2024-12-06T14:56:32Z-
dc.identifier.citationMathematical modelling and analysis, 29 (4) , p. 714 -730-
dc.identifier.urihttp://hdl.handle.net/1942/44830-
dc.description.abstractThis paper presents a two-derivative energy-stable method for the CahnHilliard equation. We use a fully implicit time discretization with the addition of two stabilization terms to maintain the energy stability. As far as we know, this is the first time an energy-stable multiderivative method has been developed for phase-field models. We present numerical results of the novel method to support our mathematical analysis. In addition, we perform numerical experiments of two multiderivative predictor-corrector methods of fourth and sixth-order accuracy, and we show numerically that all the methods are energy stable.-
dc.description.sponsorshipE. Theodosiou was funded by the Fonds voor Wetenschappelijk Onderzoek(FWO, Belgium) - project no. G052419N-
dc.language.isoen-
dc.publisherVILNIUS GEDIMINAS TECH UNIV-
dc.rights2024 The Author(s). Published by Vilnius Gediminas Technical UniversityThis is an Open Access article distributed under the terms of the Creative Commons AttributionLicense (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribu-tion, and reproduction in any medium, provided the original author and source are credited.-
dc.subject.othermultiderivative methods-
dc.subject.otherhigh-order methods-
dc.subject.otherCahn-Hilliard equation-
dc.subject.otherenergy- stable methods-
dc.titleA Two-Derivative Time Integrator for the Cahn-Hilliard Equation-
dc.typeJournal Contribution-
dc.identifier.epage730-
dc.identifier.issue4-
dc.identifier.spage714-
dc.identifier.volume29-
local.format.pages17-
local.bibliographicCitation.jcatA1-
dc.description.notesTheodosiou, E (corresponding author), Hasselt Univ, Fac Sci & Data Sci Inst, Agoralaan Gebouw D, B-3590 Diepenbeek, Belgium.-
dc.description.noteseleni.theodosiou@uhasselt.be; carina.bringedal@hvl.no;-
dc.description.notesjochen.schuetz@uhasselt.be-
local.publisher.placeSAULETEKIO AL 11, VILNIUS, LT-10223, LITHUANIA-
local.type.refereedRefereed-
local.type.specifiedArticle-
dc.identifier.doi10.3846/mma.2024.20646-
dc.identifier.isi001362003200002-
local.provider.typewosris-
local.description.affiliation[Theodosiou, Eleni; Schutz, Jochen] Hasselt Univ, Fac Sci & Data Sci Inst, Agoralaan Gebouw D, B-3590 Diepenbeek, Belgium.-
local.description.affiliation[Bringedal, Carina] Western Norway Univ Appl Sci, Dept Comp Sci Elect Engn & Math Sci, Inndalsveien 28, N-5063 Bergen, Norway.-
local.uhasselt.internationalyes-
item.contributorTHEODOSIOU, Eleni-
item.contributorBRINGEDAL, Carina-
item.contributorSCHUETZ, Jochen-
item.fullcitationTHEODOSIOU, Eleni; BRINGEDAL, Carina & SCHUETZ, Jochen (2024) A Two-Derivative Time Integrator for the Cahn-Hilliard Equation. In: Mathematical modelling and analysis, 29 (4) , p. 714 -730.-
item.fulltextWith Fulltext-
item.accessRightsOpen Access-
crisitem.journal.issn1392-6292-
crisitem.journal.eissn1648-3510-
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