Error estimates of homogenization theory

Wei Dong Song*, Jian Guo Ning, Jing Wang, Jian Qiao Li

*Corresponding author for this work

Research output: Contribution to journalReview articlepeer-review

Abstract

Basic assumptions are introduced into a homogenization theory which is described in the form of elliptic differential equations with a small parameter. Homogenization operators are used to solve the equations by asymptotic expansion methods, and error estimates of homogenization solutions are given.

Original languageEnglish
Pages (from-to)295-298
Number of pages4
JournalInternational Journal of Nonlinear Sciences and Numerical Simulation
Volume13
Issue number3-4
DOIs
Publication statusPublished - Aug 2012

Keywords

  • Elliptic differential equation
  • Error estimate
  • Homogenization operator
  • Homogenization theory

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Song, W. D., Ning, J. G., Wang, J., & Li, J. Q. (2012). Error estimates of homogenization theory. International Journal of Nonlinear Sciences and Numerical Simulation, 13(3-4), 295-298. https://doi.org/10.1515/ijnsns-2011-0301