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Applied Mathematics and Mechanics (English Edition) ›› 2009, Vol. 30 ›› Issue (12): 1579-.doi: https://doi.org/10.1007/s10483-009-1209-z

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A two-order and two-scale computation method for nonselfadjoint elliptic problems with rapidly oscillatory coefficients

苏芳1 崔俊芝2 徐湛3   

  1. 1. Department of Mathematics and Systems Science, National University of Defense Technology, Changsha 410073, P. R. China;
    2. Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, P. R. China;
    3. School of Electronic Science and Engineering, National University of Defense Technology, Changsha 410073, P. R. China
  • 收稿日期:2009-05-10 修回日期:2009-10-04 出版日期:2009-12-23 发布日期:2009-12-01

A two-order and two-scale computation method for nonselfadjoint elliptic problems with rapidly oscillatory coefficients

SU Fang1, CUI Jun-Zhi2, XU Zhan3   

  1. 1. Department of Mathematics and Systems Science, National University of Defense Technology, Changsha 410073, P. R. China;
    2. Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, P. R. China;
    3. School of Electronic Science and Engineering, National University of Defense Technology, Changsha 410073, P. R. China
  • Received:2009-05-10 Revised:2009-10-04 Online:2009-12-23 Published:2009-12-01

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摘要： The purpose of this paper is to solve nonselfadjoint elliptic problems with rapidly oscillatory coefficients. A two-order and two-scale approximate solution expression for nonselfadjoint elliptic problems is considered, and the error estimation of the twoorder and two-scale approximate solution is derived. The numerical result shows that the presented approximation solution is effective.

关键词: nonselfadjoint elliptic problems, rapidly oscillatory coefficients, two-order and two-scale finite element method

Abstract: The purpose of this paper is to solve nonselfadjoint elliptic problems with rapidly oscillatory coefficients. A two-order and two-scale approximate solution expression for nonselfadjoint elliptic problems is considered, and the error estimation of the twoorder and two-scale approximate solution is derived. The numerical result shows that the presented approximation solution is effective.

Key words: nonselfadjoint elliptic problems, rapidly oscillatory coefficients, two-order and two-scale finite element method

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