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个人简介

RuihanGuo SchoolofMathematicsandStatistics ZhengzhouUniversity Zhengzhou,Henan450000,China E-mail:rguo@zzu.edu.cn Education B.S.inDepartmentofMathematics,ChinaUniversityofPetroleum,June2009. Ph.DinSchoolofMathematicalSciences,UniversityofScienceandTechnologyofChina,June2014,Advisor:YanXu.CurrentResearchInterests NumericalsolutionsofCahn-Hilliard-Navier-StokesequationusinglocaldiscontinuousGalerkin(LDG)methods NumericalsolutionsofkineticequationsusingLDGmethods NumericalsolutionsofphasefieldmodelsusingLDGmethodsandconvexsplittingschemes HighorderimplicittimeintegrationmethodforphasefieldmodelsandotherhighorderderivativenonlinearPDEs Time-adaptiveLDGmethodsforphasefieldproblems Efficientsolversforlinearandnonlinearequations,suchasthemultigridmethod

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ListofPublications R.GuoandY.Xu,EfficientSolversofDiscontinuousGalerkinDiscretizationfortheCahn-HilliardEquations,JournalofScientificComputing,58(2014),pp.380-408. R.Guo,Y.XiaandY.Xu,Anefficientfully-discretelocaldiscontinuousGalerkinmethodfortheCahn-Hilliard-Hele-Shawsystem,JournalofComputationalPhysics,264(2014),pp.23-40. R.GuoandY.Xu,FastsolverforthelocaldiscontinuousGalerkindiscretizationoftheKdVtypeequations,CommunicationsinComputationalPhysics,17(2015),pp.424-457. R.Guo,Y.XuandZ.Xu,LocaldiscontinuousGalerkinmethodsforthefunctionalizedCahn-Hilliardequation,JournalofScientificComputing,63(2015),pp.913-937. R.GuoandY.Xu,Anefficient,unconditionallyenergystablelocaldiscontinuousGalerkinschemefortheCahn-Hilliard-Brinkmansystem,JournalofComputationalPhysics,298(2015),pp.387-405. F.Zhang,Y.Xu,F.ChenandR.Guo,InteriorPenaltyDiscontinuousGalerkinBasedIsogeometricAnalysisforAllen-CahnEquationsonSurfaces,CommunicationsinComputationalPhysics,18(2015),pp.1380-1416. R.Guo,L.JiandY.Xu,HighorderlocaldiscontinuousGalerkinmethodsfortheAllen-Cahnequation:analysisandsimulation,JournalofComputationalMathematics,34(2016),pp.135-158. R.GuoandY.Xu,LocaldiscontinuousGalerkinmethodandhighordersemi-implicitschemeforthephasefieldcrystalequation,SIAMJournalonScientificComputing,38(2016),pp.A105-A127. R.Guo,F.FilbetandY.Xu,Efficienthighordersemi-implicittimediscretizationandlocaldiscontinuousGalerkinmethodsforhighlynonlinearPDEs,JournalofScientificComputing,68(2016),pp.1029-1054.

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