Two-scale finite element method for nonselfadjoint elliptic problems with rapidly oscillatory coefficients

摘要

The purpose of this paper is to solve nonselfadjoint elliptic problems with rapidly oscillatory coefficients. A two-scale approximate expression of the exact solution for nonselfadjoint elliptic problems is considered, and the error estimate of the two-scale approximate solution is derived. Moreover, a two-scale finite element approximate solution is given, and the optimal error estimate is obtained.