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The heterogeneous multiscale method*

  • Assyr Abdulle (a1), E Weinan (a2), Björn Engquist (a3) and Eric Vanden-Eijnden (a4)
  • DOI: http://dx.doi.org/10.1017/S0962492912000025
  • Published online: 01 April 2012
Abstract

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.

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Acta Numerica
  • ISSN: 0962-4929
  • EISSN: 1474-0508
  • URL: /core/journals/acta-numerica
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