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具有迅速振荡系数的非自共轭椭圆问题的二阶双尺度计算方法

苏芳 崔俊芝 徐湛

苏芳, 崔俊芝, 徐湛. 具有迅速振荡系数的非自共轭椭圆问题的二阶双尺度计算方法[J]. 应用数学和力学, 2009, 30(12): 1482-1492. doi: 10.3879/j.issn.1000-0887.2009.12.009
引用本文: 苏芳, 崔俊芝, 徐湛. 具有迅速振荡系数的非自共轭椭圆问题的二阶双尺度计算方法[J]. 应用数学和力学, 2009, 30(12): 1482-1492. doi: 10.3879/j.issn.1000-0887.2009.12.009
SU Fang, CUI Jun-zhi, XU Zhan. Two-Order and Two-Scale Computation Method for Nonselfadjoint Elliptic Problems With Rapidly Oscillatory Coefficients[J]. Applied Mathematics and Mechanics, 2009, 30(12): 1482-1492. doi: 10.3879/j.issn.1000-0887.2009.12.009
Citation: SU Fang, CUI Jun-zhi, XU Zhan. Two-Order and Two-Scale Computation Method for Nonselfadjoint Elliptic Problems With Rapidly Oscillatory Coefficients[J]. Applied Mathematics and Mechanics, 2009, 30(12): 1482-1492. doi: 10.3879/j.issn.1000-0887.2009.12.009

具有迅速振荡系数的非自共轭椭圆问题的二阶双尺度计算方法

doi: 10.3879/j.issn.1000-0887.2009.12.009
基金项目: 国家自然科学基金资助项目(10590353);国防科技大学科研计划资助项目(JC09-02-05)
详细信息
    作者简介:

    苏芳(1979- ),女,湖南常德人,博士(联系人.Tel:+86-731-84574234;E-mail:sufang@lsec.cc.ac.cn).

  • 中图分类号: O242.1

Two-Order and Two-Scale Computation Method for Nonselfadjoint Elliptic Problems With Rapidly Oscillatory Coefficients

  • 摘要: 为了求解具有迅速振荡系数的非自共轭椭圆问题,考虑了非自共轭椭圆问题二阶双尺度近似解的表示式,推导了二阶双尺度近似解的误差估计式,数值试验结果表明给出的近似解是有效的.
  • [1] Bensoussan A,Lions J,Papanicolaou G.Asymptotic Analysis for Periodic Structures[M].Amsterdam:Nortth-Holland,1978.
    [2] Hornung U.Homogenization and Porous Media[M].New York:Springer-Verlag,1997.
    [3] Oleinik O A,Shamaev A S,Yosifian G A.Mathematical Problems in Elasticity and Homogenization[M].Amsterdam:North-Holland,1992.
    [4] Zhikov V V,Kozlov S M,Oleinik O A.Homogenization of Differential Operators and Internal Functionals[M].Berlin:Springer-Verlag,1994.
    [5] Bourget J F,Iria-Laboria.Numerical Experiments to the homogenization method for operators with periodic coefficients[J].Lecture Nots in Mathematics,1977,705:330-356.
    [6] Cioranescu D,Donato,P.An Introduction to Homogenization[M].Oxford:Oxford University Press,1999.
    [7] Cui J Z,Cao L Q.Two-scale asymptotic analysis methods for a class of elliptic boundary value problems with small periodic coefficients[J].Math Numer Sinica,1999,21(1):19-28.
    [8] Cao L Q,Cui J Z,Luo J L.Multiscale asymptotic expansion and a post-processing algorithm for second-order elliptic problems with highly oscillatory coefficients over general convex domains[J].J Comp Appl Math,2003,157(1):1-29. doi: 10.1016/S0377-0427(03)00372-8
    [9] Cao L Q,Cui J Z.Finite element computation for elastic structures of composite materials formed by entirely basic configuration[J].J Num Math Appl,1998,20:25-37.
    [10] Cao L Q,Cui J Z,Zhu D C.Multiscale asymptotic analysis and numerical simulation for the second order Helmholtz with rapidly oscillating coefficients over general convex domains[J].SIAM J Numer Anal,2003,40(2):543-577.
    [11] Cao L Q,Cui J Z.Homogenization method for the quasi-periodic structures of composite materials[J].Math Num Sin,1999,21(3):331-344.
    [12] Feng Y P,Cui J Z.Multi-scale analysis and FE computation for the structure of composite materials with small periodic configurarion under condition of coupled thermoelasticity[J].Int J Numer Meth Engng,2004,60(11):1879-1910. doi: 10.1002/nme.1029
    [13] Li Y Y,Cui J Z.Two-scale analysis method for predicting heat transfer performance of composite materials with random grain distribution[J].Sci Chi Ser A Math,2004,47(1):101-110. doi: 10.1360/04za0009
    [14] Cui J Z,Yu X G.A two-scale method for identifying mechanical parameters of composite materials with periodic configuration[J].Acta Mech Sin,2006,22(6):581-594. doi: 10.1007/s10409-006-0037-2
    [15] Yu X G,Cui J Z.The prediction on mechanical properties of 4-step braided composites via two-scale method[J].Compos Sci Tech,2007,67(3/4):471-480. doi: 10.1016/j.compscitech.2006.08.028
    [16] Chen J R,Cui J Z.Two-scale finite element method for nonselfadjoint elliptic problems with rapidly oscillatory coefficients[J].Appl Math Comp,2004,150(2):585-601. doi: 10.1016/S0096-3003(03)00292-3
    [17] Adams R A.Sobolev Space[M].New York:Academic Press,1975.
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出版历程
  • 收稿日期:  2009-05-05
  • 修回日期:  2009-10-04
  • 刊出日期:  2009-12-15

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