徐一峰 - 上海师范大学

研究领域

偏微分方程数值方法中的有限元方法及以及在弹性力学、电磁场问题和反问题中的应用

近期论文

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17.Thedecouplingofelasticwavesfromaweakformulationperspective,withJunjiangLai,HongyuLiuandJingniXiao,EastAsianJournalonAppliedMathematics9(2),241-251,2019.(DOI:10.4208/eajam.080818.121018) 16.Aconvergentadaptivefiniteelementmethodforelectricalimpedancetomography,withBangtiJinandJunZou,IMAJournalofNumericalAnalysis37(3),1520-1550,2017.(DOI:10.1093/imanum/drw045) 15.Aconvergentadaptiveedgeelementmethodforanoptimalcontrolprobleminmagnetostatics,withJunZou,ESAIM:MathematicalModelingandNumericalAnalysis51(2),615-640,2017.(DOI:10.1051/m2an/2016030) 14.Aconvergentadaptivefiniteelementmethodforcathodicprotection,withGuanglianLi,ComputationalMethodsinAppliedMathematics17(1),105-120,2017.(DOI:10.1515/cmam-2016-0032) 13.Convergenceofanadaptivefiniteelementmethodfordistributedfluxreconstruction,withJunZou,MathematicsofComputation84(296),2645-2663,2015. 12.AnalysisofanadaptivefiniteelementmethodforrecoveringtheRobincoefficient,withJunZou,SIAMJournalonControlandOptimization53(2),622-644,2015. 11.AposteriorierrorestimatesforlocalC0discontinuousGalerkinmethodsforKirchhoffplatebendingproblems,withJianguoHuangandXuehaiHuang,JournalofComputationalMathematics32(6),665-686,2014. 10.Anadaptiveedgeelementmethodanditsconvergenceforasaddle-pointproblemfrommagnetostatics,withJunqingChenandJunZou,NumericalMethodsforPartialDifferentialEquations28(5),1643-1666,2012. 9.AclassofhighorderadaptivemixedelementmethodsforKirchhoffplatebendingproblems,withJianguoHuang,ScienceChinaMathematics(Chineseversion)42(5),473-489,2012.(inChinese) 8.ConvergenceandcomplexityofarbitraryorderadaptivemixedelementmethodsforthePoissonequation,withJianguoHuang,ScienceChinaMathematics55(5),1083-1098,2012. 7.AposteriorierrorestimatesforlocaldiscontinuousGalerkinmethodsoflinearelasticity,withYunchengChenandJianguoHuang,JournalofShanghaiJiaoTongUniversity45(12),1857-1862,2011.(inChinese) 6.ConvergenceofanadaptivemixedfiniteelementmethodforKirchhoffplatebendingproblems,withJianguoHuangandXuehaiHuang,SIAMJournalonNumericalAnalysis49(2),574-607,2011. 5.OnthelocaldiscontinuousGalerkinmethodforlinearelasticity,withYunchengChen,JianguoHuang,andXuehaiHuang,MathematicalProblemsinEngineering2010,ArticleID759547,DOI:10.1155/2010/759547,2010. 4.AnadaptiveinverseiterationforMaxwelleigenvalueproblembasedonedgeelements,withJunqingChenandJunZou,JournalofComputationalPhysics229(7),2649-2658,2010. 3.ConvergenceanalysisofanadaptiveedgeelementmethodforMaxwell’sequations,withJunqingChenandJunZou,AppliedNumericalMathematics59(12),2950-2969,2009. 2.Finiteelementanalysisforgeneralelasticmulti-structures,withJianguoHuangandZhongciShi,ScienceinChinaSeriesA,49(1),109-129,2006. 1.Somestudiesonmathematicalmodelsforgeneralelasticmulti-structures,withJianguoHuangandZhongciShi,ScienceinChinaSeriesA,48(7),986-1007,2005.