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The heterogeneous multiscale method

delete2012-04-19
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OA
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A
Assyr Abdulle *
E
E Weinan
B
Björn Engquist
E
Eric Vanden‐Eijnden
DOI:10.1017/S0962492912000025delete
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摘要

摘要

En 中文
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.
Keyword:
FINITE-ELEMENT-METHOD
DISCONTINUOUS GALERKIN METHODS
ORIENTED ERROR ESTIMATION
ELLIPTIC PROBLEMS
STOCHASTIC SIMULATION
NUMERICAL-INTEGRATION
PARTIAL EQUILIBRIUM
BOUNDARY-CONDITIONS
MOLECULAR-DYNAMICS
DIFFUSION-PROBLEMS
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期刊

Acta Numerica 封面图
Acta Numerica
IF:
11.3
论文数:
89
被引数:
3.4K

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P
Princeton University
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被引数: 5.1W
E
Ecole Polytechnique Federale de Lausanne
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被引数: 25
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swiss federal institutes of technology domain
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论文数: 8.0W
被引数: 163
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university of texas system
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