Periodic Homogenization with an interface: the multidimen-
Boundary Layers in Periodic Homogenization
... in homogenization During the last four decades, the theory of homogenization, or averaging of partial differential equations with rapidly oscillating coefficients, has been studied exten- ...be ...
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Homogenization of an elastic double-porosity medium with imperfect interface via the periodic unfolding method
... Donato et al. use the periodic unfolding method for a two-component domain similar to the one considered in this paper. Hence, they introduce two unfolding operators. The first one is denoted by T ε and deals ...
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Homogenization of Stokes Systems with Periodic Coefficients
... There are relatively fewer known results for Neumann problems. Consider the Neumann problem for the scalar elliptic equation L ε (u ε ) = F in Ω with ∂u ∂ν ε ε = 0 on ∂Ω, the estimate ku ε − u 0 k L 2 (Ω) ≤ CεkF k H 2 ...
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Homogenization of linear spatially periodic electronic circuits
... spatially periodic architectures of analog electronic ...a periodic structure and include or will include in a near future an electronic ...a periodic way in their host structure, see for example [7] ...
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Homogenization of Periodic Objects Embedded in Layered Media
... 4. CONCLUSION In this letter, we propose an effective medium modeling approach to homogenize layered media with periodic inclusions. The approach is based on the same scattering coefficients. The scattering problem ...
5
Homogenization of a Composite Periodic Structure in the Case of Composite Plate
... This work is consecrated to the investigation of mechanical behavior of a composite plate containing some periodic distributions and no symmetrical with regard to the average plan. The choice of this model is ...
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Quantitative estimates on the periodic approximation of the corrector in stochastic homogenization
... the periodic approximation of the corrector equation for the stochastic homogenization of linear elliptic equations in divergence form, when the diffusion coefficients satisfy a spectral gap estimate in ...
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Homogenization of Periodic Linear Nonlocal Partial Differential Equations
... the homogenization of SDEs driven by multiplicative stable processes, where the multiplicative coefficient σ is linear in the second variable in the sense that σ(x, y) = σ 0 (x)y, with σ 0 three-times continuously ...
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Weakly periodic boundary conditions for the homogenization of flow in porous media
... Figure 10 shows how the permeability changes as the size of the RVE increase for RVE types I (a) and II (a) along with their respective bounds. From Figure 10(a) we can see that the lower bound differs from the weak ...
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CiteSeerX — Homogenization of a Hele-Shaw type problem in periodic and random media
... Abstract We investigate the homogenization limit of a free boundary prob- lem with space-dependent free boundary velocities. The problem under consideration has a well-known obstacle problem transformation, for- ...
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Homogenization of the transmission eigenvalue problem for periodic media and application to the inverse problem
... Abstract. We consider the interior transmission problem associated with the scattering by an inhomogeneous (possibly anisotropic) highly oscillating peri- odic media. We show that, under appropriate assumptions, the ...
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CiteSeerX — Which sequences of holes are admissible for periodic homogenization with Neumann boundary condition
... the homogenization of Neumann type problems in periodically perforated domains, including the case where the shape of the reference hole varies with the size of the period (in the spirit of the construction of ...
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Boundary Homogenization and Capture Time Distributions of Semipermeable Membranes with Periodic Patterns of Reactive Sites
... the periodic planar problem, it is noteworthy in that the limiting behavior of \kappa is correct: as \sigma \rightarrow 0, \kappa \rightarrow 0, and as \sigma \rightarrow 1, \kappa \rightarrow \infty ...of ...
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Averaging for SDE-BSDE with null recurrent fast component Application to homogenization in a non periodic media
... We now pass to the averaging problem. The lack of a reasonable compactness of (Z ε ) create some difficulties in the identification of the limits. Note also that, since (Z ε ) is not a semimartingale, then the method ...
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Antireflection Property of a Periodic Nanocone Structured Solid-Solid Interface.
... Moreover, the AR structure at air-solid interface can be easily damaged. In this work, we presented a method to reduce reflection between solid-solid interfaces, providing an opportunity for optics electronics, ...
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Some topics in homogenization
... the homogenization that will be outlined is trivial since we are seeking to demonstrate weak convergence of the family of solutions (viewed as probability distributions) starting from the same initial ...smooth ...
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Homogenization of dynamic laminates
... the homogenization problem associated with propagation of long wave disturbances in materials whose properties exhibit not only spacial but also temporal inhomogeneities (called dynamic ...1997. ...
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Method of Homogenization for the Study of the Propagation of Electromagnetic Waves in a Composite Part 2: Homogenization
... is periodic with a three directional cell of ...naturally periodic with respect to (ξ, ζ) with period [− 1 2 , 1 2 ] × [−1, 0] but it is also periodic with respect to y with period ...
5
Specific aspects of roughness and interface diffusion in non-periodic Mo/Si multilayers
... are periodic nanometer ...from periodic to non-periodic multilayers new challenges arise for the deposition ...the interface reactions are ...
10
Generalized FEM for Homogenization Problems
... oscillatory periodic (or patchwise periodic) pattern in the coefficients of the dif- ferential equation and their solutions exhibit a multiple scale behavior: a macroscopic behavior superposed with local ...