The heterogeneous multiscale method

Abdulle, Assyr
Weinan, E.
Engquist, Bjoern
Vanden-Eijnden, Eric

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Publication date

January 2012

DOI

10.1017/S0962492912000025

Journal

1474-0508

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.http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000209143400001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701MathematicsSCI(E)49ARTICLE1-872

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The heterogeneous multiscale method

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The heterogeneous multiscale method

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