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The heterogeneous multiscale method
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DOI：10.1017/S0962492912000025.png)
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Abstract
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.
Keywords:
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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11.3
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