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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

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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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

2010 MSC Number: 

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