期刊
ACTA NUMERICA
卷 21, 期 -, 页码 1-87出版社
CAMBRIDGE UNIV PRESS
DOI: 10.1017/S0962492912000025
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资金
- Swiss National Science Foundation [200021 134716/1]
- ONR [N00014-01-1-0674, N00014-11-1-0345]
- NSF [DMS1016577, DMS-0708140]
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1114827] Funding Source: National Science Foundation
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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