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Extending the technique of the perfectly matched layer ͑PML͒ to discrete lattice systems, a multiscale method was proposed by To and Li ͓Phys. Rev. B 72, 035414 ͑2005͔͒, which was termed the perfectly matched multiscale simulation ͑PMMS͒. In this paper, we shall revise the proposed PMMS formulation, and extend it to multiple dimensions. It is shown in(More)
A computational multiscale method is proposed to simulate coupled, nonequilibrium thermomechanical processes. This multiscale framework couples together thermomechanical equations at the coarse scale with nonequilibrium molecular dynamics at the fine scale. The novel concept of distributed coarse scale thermostats enables subsets of fine scale atoms to be(More)
A new subgrid (subscale) finite element method is proposed, which is termed as the variational eigenstrain multiscale method. It combines the essential ideas of HughesÕ variational multiscale formulation [Comput. Methods Appl. Mech. to homogenize numerical error due to finite element discretization. By synthesizing variational multiscale method with the(More)
A new stabilized method is proposed for the 2-D Stokes flow problem. The new approach is based on the Variational Multiscale(VM) formulation. The Green's functions for an infinite domain are adopted to compute the two-scale interaction. The method is shown to be able to stabilized low order Finite Element intepolation pairs and has a formulation similar to(More)
SUMMARY In this study, we apply the newly derived finite Eshelby tensor in a variational multiscale formulation to construct a smart element through a more accurate homogenization procedure. The so-called Neumann– Eshelby tensor for an inclusion in a finite domain is used in the fine scale feedback procedure to take into account the interactions among(More)
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