个人简介
教育经历:
2004.9-2008.7山东理工大学信息与计算科学理学学士;
2008.9-2011.7兰州大学基础数学理学硕士;
2011.9-2015.12西安交通大学计算数学理学博士;
2014.9-2015.9宾夕法尼亚州立大学计算数学联合培养;
工作经历:
2016.2-至今,烟台大学数学与信息科学学院,计算科学系,讲师
研究领域
研究方向:多物理问题数值算法与理论
研究兴趣:计算流体动力学,多物理问题计算。
在研项目:
11601468,磁流体方程的解耦算法及预处理快速求解方法,国家自然科学青年基金2017年1月至2019年12月,主持
11771375,非线性抛物方程有限体积元方法的后验误差估计及自适应算法,国家自然科学基金(面上),2018.1—2021.12,参与3/10.
ZR2018MA008,奇异摄动问题的稳定化局部守恒数值方法及其在多孔介质流中的应用,
山东省自然科学基金(面上),2018.03-2021.6,参与4/7.
近期论文
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Linear,symmetric,unconditionalstableschemesforincompressibleflows.Ongoing.
NumericalanalysisforIEQmethodofAllen-CahnandCahn-Hilliardequations.Ongoing.
17.Guo-DongZhang,ANALYSISOFSYMMETRICSCHEMESANDROBUSTPRECONDITIONERSFORINCOMPRESSIBLEMHDSYSTEM,Submitted.
16.XiaoFengYang,Guo-DongZhang(通讯),XiaomingHe,,CONVERGENCEANALYSISOFANUNCONDITIONALLYENERGYSTABLEPROJECTIONSCHEMEFORMAGNETO-HYDRODYNAMICEQUATIONS,Submitted.
15.Guo-DongZhang,XiaomingHe,XiaoFengYang,AFULLYDECOUPLED,LINEARANDUNCONDITIONALLYENERGYSTABLESCHEMEFORMAGNETO-HYDRODYNAMICEQUATIONS,Submitted.
14.Xiaofeng,Yang,Guo-Dong,Zhang,NumericalapproximationsoftheAllen-CahnandCahn-HilliardEquationswithgeneralnonlinearpotentialusingtheInvariantEnergyQuadratizationapproach,Submitted.
13.Guo-DongZhang,XiaomingHe,Xiaofeng,Yang,STABILITYANDCONVERGENCEANALYSISOFALINEAR,FULLYDECOUPLEDANDUNCONDITIONALLYENERGYSTABLESCHEMEFORMAGNETO-HYDRODYNAMICEQUATIONS,Submitted.
12.Guo-DongZhang,MinYang,YinnianHe,RobustpreconditionersforunconditionallyenergystableandconvergentschemesofMHDequations,Submitted.
11.Guo-DongZhang,JinjinYang,ChunjiaBi,SecondorderunconditionallyconvergentandenergystablelinearizedschemeforMHDequations,AdvancesinComputationalmathematics,April2018,Volume44,(2)505–540.
10.Guo-DongZhang,YinnianHe,DecoupledschemesforunsteadyMHDequationsI:Timediscr
etization,NumericalmethodsforPDEs,2017.
9.YicongMa,JinchaoXu,Guo-DongZhang,Errorestimatesforastructurepreservin
discretizationofanincompressibleMHDsystem,arXivpreprintarXiv:1608.03034,2016-arxiv.org
8.JinjinYang,YinnianHe,Guo-DongZhang,OnanefficientsecondorderbackwarddifferenceNewtonschemeforMHDsystem.2017,toappearinJournalofMathematicalanalysisandapplications.
7.Guo-DongZhang,YinnianHe,UnconditionalconvergenceoftheEulersemi-implicit
schemeforthe3DincompressibleMHDequations:numericalimplementation,InternationalJournalofNumericalMethodsforHeat&FluidFlow,2015
6.GuodongZhang,XiaojingDong,YongzhengAn,HongLiu,NewconditionsofstabilityandconvergenceofStokesandNewtoniterationsforNavier-Stokesequations,AppliedMathematicsandMechanics,2015.
5.Guo-DongZhang,YinnianHe,DecoupledschemesforunsteadyMHDequationsII:Finiteelementspatialdiscretizationandnumericalimplementation,Computers&MathematicswithApplications2015,
4.Guo-DongZhang,YanZhang,YinnianHe,Two-LevelCoupledandDecoupledParallelCorrectionMethodsforStationaryIncompressibleMagnetohydrodynamics,JournalofScientificComputing,2015.
3.Guo-DongZhang,YinnianHe,DiYang,Analysisofcouplingiterationsbasedonthefiniteelementmethodforstationarymagnetohydrodynamicsonageneraldomain,Computers&MathematicswithApplications,2014.
2.Guo-DongZhang,YinnianHe,YanZhang,Streamlinediffusionfiniteelementmethodforstationaryincompressiblemagnetohydrodynamics,NumericalMethodsforPartialDifferentialEquations,2014.
1.Guo-DongZhang,Hong-Rui,Sun,Multiplesolutionsforafourth-orderdifferenceboundaryvalueproblemwithparameterviavariationalapproach,AppliedMathematicalModelling,2012.