许学军 - 中科院数学与系统科学研究院 -

个人简介

Education,AcademicPositions B.A.,Mathematics,SuzhouUnviersity,China,Sep.1986-Jul.1990 Ph.D.,ComputationalMathematics,FudanUniversity,China,Sep.1994-Jul.1997 Postdoctor,InstituteofComputationalMathematics,CAS,Jul.1997-Jul.1999 Assistantprofessor,InstituteofComputationalMathematics,CAS,Jul.1999-Dec.2000 Associateprofessor,InstituteofComputationalMathematics,CAS,Jan.2001-Feb.2006 Professor,InstituteofComputationalMathematics,CAS,Feb.2006 Awards GuanghuaprizeofFudanUniversity(twotimes) OutstandingpostdoctorprizeofChineseAcademyofSciences ZhongJiaQingmathematicsprize(ChineseMathematicsSociety) Humboldtresearchfellow(AlexandervonHumboldtFoundation,Germany)

研究领域

mainresearchareaisnumericalanalysisforPDEsbyfiniteelementmethodssuchasnonconformingfiniteelementmethodsfornonlinearproblems,domaindecompositionmethodsforlinearandnonlinearproblems,multilevelandmultigridmethodsforplatebendingproblem,movingmeshfiniteelementmethodsforNavier-Stokesandvariationalinequalityequations. Thedetailsareasfollows: 1.Finiteelementapproximationforsomenonlinearequations. (1)MaximumnormestimationforNavier-Stokesequationdiscretizedbynonconformingfiniteelements. (2)NonconformingfiniteelementmethodswithmovingmeshesforNavier-Stokesandvariationalinequalityequations. 2.Domaindecompositionmethods. (1)Domaindecompositionmethodsforsomevariationalinequalityequations. (2)Domaindecompositionmethodsfornonlinearequations. 3.MultilevelandmultigridmethodsforPDEs. (1)Constructefficientmultigridmethodsfornonconformingelements. (2)Developmultilevelpreconditionersforconformingandnonconformingplateelements. (3)Designcascadicmultigridalgorithms.

近期论文

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HuangxinChen,XuejunXu,R.H.W.Hoppe,Convergenceandquasi-optimalityofadaptivenonconformingfiniteelementmethodsforsomenonsymmetricandindefiniteproblems,Numer.Math.,2010.(toappear) XuejunXu,HuangxinChen,R.H.W.Hoppe,Optimalityoflocalmultilevelmethodsonadaptivelyrefinedmeshesforellipticboundaryvalueproblems,J.Numer.Math.,2010.(toappear) XuejunXu,ShangyouZhang,Anewdivergence-freeinterpolationoperatorwithapplicationstotheDarcy-Stokes-Brinkmanequations,SIAMJ.Sci.Comput.,2010. XuejunXu,LizhenQin,SpectralanalysisofDirichlet-NeumannoperatorsandoptimizedSchwarzmethodswithRobintransmissionconditions,SIAMJ.Numer.Anal.,2010. HuangxinChen,XuejunXu,Localmultilevelmethodsforadaptivefiniteelementmethodsfornonsymmetricandindefiniteellipticboundaryvalueproblems,SIAMJ.Numer.Anal.,2010. R.Talal,XuejunXu,AmultilevelpreconditionerforthemortarmethodfornonconformingP1finiteelement，ESIAMMathematicalModellingandNumericalAnalysis,2009. LizhenQin,XuejunXu,OptimizedSchwarzMethodswithRobinTransmissionConditionsforParabolicProblems,SIAMJ.Sci.Comput.,2008 T.Rahman,P.Bjorstad,XuejunXu,TheCrouziex-RaviartFEonnonmatchinggridswithanapproximatemortarcondition,SIAMJ.Numer.Anal.,2008. Zhong-CiShi,XuejunXu,ZhiminZhang,Thepatchrecoveryforfiniteelementapproximationofelasticityproblemsunderquadrilateralmeshes,DiscreteContin.Dyn.Syst.Ser.B,2008. Zhong-CiShi,XuejunXu,YunqingHuang,Economicalcascadicmultigridmethods,Sci.inChina,Ser.A.,2007. LizhenQin,XuejunXu,OnaparallelRobin-typenonoverlappingdomaindecompositionmethod,SIAMJ.Numer.Anal.,2006. XuejunXu,C.O.Chow,S.H.Lui,OnnonoverlappingdomaindecompositionmethodsfortheincompressibleNavier-Stokesequations,RAIROM2AN,2005. XuejunXu,R.H.W.Hoppe,OntheconvergenceofmortaredgeelementmethodsinR^3,SIAMJ.Numer.Anal.,2005. T.Rahman,XuejunXu,R.H.W.Hoppe,AdditiveSchwarzmethodsfortheCrouzeix-Raviartmortarfiniteelementforellipticproblemswithdiscontinuouscoefficients,Numer.Math.,2005. XuejunXu,S.H.Lui,TalalRahman,ATwo-leveladditiveSchwarzmethodfortheMorleynonconformingelementapproximationofanonlinearbiharmonicequation,IMA.J.Numer.Anal.,2004. XuejunXu,J.Chen,Multigridforthemortarelementmethodsforparabolicproblems,J.Comput.Math.,2003. XuejunXu,JankaAles,J.A.Desideri,Cascadicmultigridfortheadvection-diffusionequation,INRIARR4574,2002. XuejunXu,LikangLi,WenbinChen,AmultigridmethodfortheMortar-typeMorleyelementapproximationofaplatebendingproblem,SIAMJ.Numer.Anal.,2002. JinruChen,XuejunXu,UniformConvergenceandSchwarzmethodfortheMortarprojectionnonconformingandmixedelementmethodsfornonselfadjointandindefiniteproblems,Comput.MethodsAppl.Mech.Engrg.,2002. JinruChen,XuejunXu,TheMortarelementmethodfornonselfadjointparabolicproblem,Appl.Numer.Math.2001. Zhong-CiShi,XuejunXu,Anewcascadicmultigrid,SciencesinChina(SeriesA),2000. Zhong-CiShi,XuejunXu,Cascadicmultigridforparabolicproblem,J.Comput.Math.,2000. Zhong-CiShi,XuejunXu,AV-cyclemultigridmethodforTRUNCplateelement,Comput.MethodsAppl.Mech.Engrg.,2000. XuejunXu,OntheaccuracyofnonconformingquadrilateralQ1elementapproximationofNavier-Stokesproblem,SIAMJ.Numer.Anal.,2000. XuejunXu,JinruChen,MultigridfortheMortarelementmethodforP1nonconformingelement,Numer.Math.,2001. XuejunXu,MultilevelmethodsforWilsonelementapproximationofelasticityproblem,Comput.MethodsAppl.Mech.Engrg.,174(1999),191-201. Zhong-CiShi,XuejunXu,Cascadicmultigridmethodforellipticproblems,East-WestJ.Numer.Math.,7(1999),199-211. Zhong-CiShi,XuejunXu,AnanalysisofV-cyclemultigridmethodforWilsonnonconformingelement,SciencesinChina(SeriesA),29(1999),880-891. XuejunXu,LikangLi,AV-cyclemultigridmethodfortheplatebendingproblemdiscretedbynonconformingfiniteelements,J.Comput.Math.,17(1999),533-544. Zhong-CiShi,XuejunXu,Anoteonnonconformingmultigridmethodfornonsymmetricandindefiniteproblems,Math.Numer.Sinica,21(1999),508-512.(inChinese) XuejunXu,LikangLi,AV-cyclemultigridmethodandaddtivemultilevelpreconditionersforplatebendingproblemdiscretizedbyconformingfiniteelements,Appl.Math.andComput.,93(1998),253-258. XuejunXu,LikangLi,Two-levelSchwarzmethodsforWilsonelementapproximationofelaticitiyproblem,Comput.MethodsAppl.Mech.Engrg.,142(1997),256-268.