| GLOBAL SUPERCONVERGENCE ESTIMATES OF FINITE ELEMENT METHOD FOR SCHRODINGER EQUATION |
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| 引用本文： | Qin Lin(Institute of Systems Science,Academia Sinica,Beijing 100080,China)Xiao-qi Liu(Department of Mathematics,Xiangtan Teachers College,Hunan 411201,China). GLOBAL SUPERCONVERGENCE ESTIMATES OF FINITE ELEMENT METHOD FOR SCHRODINGER EQUATION[J]. 计算数学(英文版), 1998, 0(6) |
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| 作者姓名： | Qin Lin(Institute of Systems Science Academia Sinica Beijing 100080 China)Xiao-qi Liu(Department of Mathematics Xiangtan Teachers College Hunan 411201 China) |
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| 作者单位： | Qin Lin(Institute of Systems Science，Academia Sinica，Beijing 100080，China)Xiao-qi Liu(Department of Mathematics，Xiangtan Teachers College，Hunan 411201，China) |
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| 摘 要： | 1.IntroductionConsiderthefollowinginitialboundaryvalueproblemofSchr6dingerequationwheren~[0,1]',at~On/Ot,T>0isaconstant.Theequivalentvariationalformof(1.1)is:foralltE[0,T],findu(t)6Hi(n)satisfiesthefollowingvariationalequation:where(w,v)~IwvdxdenotestheinnerproductofL'(fl)anda(u,v)~(Vu,Vv),ibetheimaginaryunit.Weassumethatthefunctionsarecomplex--valuedandHibertspacesarecomplexspaces.LetThbeaquasiuniformrectangulationoffiwithmeshsizeh>0andS'(O)CHi(fi)bethecorrespondingpiecewisebilinearpol…
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GLOBAL SUPERCONVERGENCE ESTIMATES OF FINITE ELEMENT METHOD FOR SCHRODINGER EQUATION |
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| Qin Lin. GLOBAL SUPERCONVERGENCE ESTIMATES OF FINITE ELEMENT METHOD FOR SCHRODINGER EQUATION[J]. Journal of Computational Mathematics, 1998, 0(6) |
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| Authors: | Qin Lin |
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| Abstract: | In this paper, we shall study the initial boundary value problem of Schrodinger equation. The second order gradient superconvergence estimates for the problem are obtained solving by linear finite elements. |
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| Keywords: | Finite element superconvergence estimates interpolation Schrodinger equation. |
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