The heterogeneous multi-scale method for homogenization problems

E. Weinan, Björn Engquist

Research output: Chapter in Book/Report/Conference proceedingChapter

56 Scopus citations


The heterogeneous multi-scale method, a general framework for efficient numerical modeling of problems with multi-scales [15], is applied to a large variety of homogenization problems. These problems can be either linear or nonlinear, periodic or non-periodic, stationary or dynamic. Stability and accuracy issues are analyzed along the lines of the general principles outlined in [15]. Strategies for obtaining the microstructural information are discussed.

Original languageEnglish (US)
Title of host publicationMultiscale Methods in Science and Engineering
PublisherSpringer Verlag
Number of pages22
ISBN (Print)9783540253358
StatePublished - 2005

Publication series

NameLecture Notes in Computational Science and Engineering
ISSN (Print)1439-7358

All Science Journal Classification (ASJC) codes

  • Modeling and Simulation
  • General Engineering
  • Discrete Mathematics and Combinatorics
  • Control and Optimization
  • Computational Mathematics


  • Heterogeneous multiscale method
  • Homogenization
  • Multiscale problems


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