The heterogeneous multiscale method

Assyr Abdulle, Weinan E, Björn Engquist, Eric Vanden-Eijnden

Research output: Contribution to journalArticlepeer-review

286 Scopus citations


The heterogeneous multiscale method (HMM), a general framework for designing multiscale algorithms, is reviewed. Emphasis is given to the error analysis that comes naturally with the framework. Examples of finite element and finite difference HMM are presented. Applications to dynamical systems and stochastic simulation algorithms with multiple time scales, spall fracture and heat conduction in microprocessors are discussed.

Original languageEnglish (US)
Pages (from-to)1-87
Number of pages87
JournalActa Numerica
StatePublished - May 2012

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • General Mathematics


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