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BIT Numerical Mathematics

, Volume 47, Issue 1, pp 77–102 | Cite as

A finite element method for elliptic problems with rapidly oscillating coefficients

  • Wen-Ming He
  • Jun-Zhi Cui
Article

Abstract

In this paper, we consider solving second-order elliptic problems with rapidly oscillating coefficients. Under the assumption that the oscillating coefficients are periodic, on the basis of classical homogenization theory, we present a finite element method whose key is to combine a numerical approximation of the 1-order approximate solution of those equations and a numerical approximation of the classical boundary corrector of those equations from different meshes exploiting the need for different levels of resolution. Numerical experiments are included to illustrate the competitive behavior of the proposed finite element method.

Keywords

Finite Element Method Error Estimate Numerical Approximation Element Solution Nodal Point 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science + Business Media B.V. 2007

Authors and Affiliations

  1. 1.Department of MathematicsWenzhou UniversityWenzhouP.R. China
  2. 2.Institute of Computational Mathematics and Scientific/Engineering ComputingCASBeijingP.R. China

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