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

SU Fang;CUI Jun-Zhi;XU Zhan

doi:10.1007/s10483-009-1209-z

Applied Mathematics and Mechanics >

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

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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 date: 2009-05-10

Revised date: 2009-10-04

Online 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

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SU Fang;CUI Jun-Zhi;XU Zhan . A two-order and two-scale computation method for nonselfadjoint elliptic problems with rapidly oscillatory coefficients[J]. Applied Mathematics and Mechanics, 2009 , 30(12) : 1579 . DOI: 10.1007/s10483-009-1209-z

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