Homogenization of an alternating Robin–Neumann boundary condition via time-periodic unfolding
نویسندگان
چکیده
منابع مشابه
Error estimate and unfolding for periodic homogenization
This paper deals with the error estimate in problems of periodic homogenization. The methods used are those of the periodic unfolding. We give the upper bound of the distance between the unfolded gradient of a function belonging to H(Ω) and the space ∇xH(Ω)⊕∇yL(Ω;H per(Y )). These distances are obtained thanks to a technical result presented in Theorem 2.3 : the periodic defect of a harmonic fu...
متن کاملHomogenization via unfolding in periodic elasticity with contact on closed and open cracks
We consider the elasticity problem in a heterogeneous domain with an ε-periodic micro-structure, ε 1, including multiple micro-contacts between the structural components. These components can be a simply connected matrix domain with open cracks or inclusions completely surrounded by cracks, which do not touch the outer boundary. The contacts are described by the Signorini and Tresca-friction co...
متن کاملHomogenization of the planar waveguide with frequently alternating boundary conditions
We consider Laplacian in a planar strip with Dirichlet boundary condition on the upper boundary and with frequent alternation boundary condition on the lower boundary. The alternation is introduced by the periodic partition of the boundary into small segments on which Dirichlet and Neumann conditions are imposed in turns. We show that under the certain condition the homogenized operator is the ...
متن کاملHomogenization of Periodic Structures via Bloch Decomposition
In this paper, the classical problem of homogenization of elliptic operators in arbitrary domains with periodically oscillating coefficients is considered. Using Bloch wave decomposition, a new proof of convergence is furnished. It sheds new light and offers an alternate way to view the classical results. In a natural way, this method leads us to work in the Fourier space and thus in a framewor...
متن کاملPeriodic homogenization with an interface
We consider a diffusion process with coefficients that are periodic outside of an ‘interface region’ of finite thickness. The question investigated in the articles is the limiting long time / large scale behaviour of such a process under diffusive rescaling. It is clear that outside of the interface, the limiting process must behave like Brownian motion, with diffusion matrices given by the sta...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Nonlinear Analysis: Theory, Methods & Applications
سال: 2017
ISSN: 0362-546X
DOI: 10.1016/j.na.2016.05.018