View : 107 Download: 0

Full metadata record

DC Field Value Language
dc.contributor.author이준엽-
dc.date.accessioned2017-11-01T05:01:50Z-
dc.date.available2017-11-01T05:01:50Z-
dc.date.issued2017-
dc.identifier.issn0021-9991-
dc.identifier.otherOAK-21065-
dc.identifier.urihttp://dspace.ewha.ac.kr/handle/2015.oak/239037-
dc.description.abstractWe propose a Convex Splitting Runge–Kutta (CSRK) scheme which provides a simple unified framework to solve a gradient flow in an unconditionally gradient stable manner. The key feature of the scheme is a combination of a convex splitting method and a specially designed multi-stage two-additive Runge–Kutta method. Our methods are high order accurate in time and assure the gradient (energy) stability for any time step size. We provide detailed proof of the unconditional energy stability and present issues on the practical implementations. We demonstrate the accuracy and stability of the proposed methods using numerical experiments of the Cahn–Hilliard equation. © 2017 Elsevier Inc.-
dc.languageEnglish-
dc.publisherAcademic Press Inc.-
dc.subjectCahn–Hilliard equation-
dc.subjectConvex splitting-
dc.subjectEnergy stability-
dc.subjectGradient flow-
dc.subjectGradient stability-
dc.subjectPhase-field model-
dc.titleUnconditionally stable methods for gradient flow using Convex Splitting Runge–Kutta scheme-
dc.typeArticle-
dc.relation.volume347-
dc.relation.indexSCI-
dc.relation.indexSCIE-
dc.relation.indexSCOPUS-
dc.relation.startpage367-
dc.relation.lastpage381-
dc.relation.journaltitleJournal of Computational Physics-
dc.identifier.doi10.1016/j.jcp.2017.07.006-
dc.identifier.wosidWOS:000408045500018-
dc.identifier.scopusid2-s2.0-85024833126-
dc.author.googleShin J.-
dc.author.googleLee H.G.-
dc.author.googleLee J.-Y.-
dc.contributor.scopusid이준엽(7601476449)-
dc.date.modifydate20171228103251-
Appears in Collections:
자연과학대학 > 수학전공 > Journal papers
Files in This Item:
There are no files associated with this item.
Export
RIS (EndNote)
XLS (Excel)
XML


qrcode

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

BROWSE