Reduced-Basis Approach for Homogenization beyond the Periodic Setting
نویسندگان
چکیده
منابع مشابه
Reduced-Basis Approach for Homogenization beyond the Periodic Setting
We consider the computation of averaged coefficients for the homogenization of elliptic partial differential equations. In this problem, like in many multiscale problems, a large number of similar computations parametrized by the macroscopic scale is required at the microscopic scale. This is a framework very much adapted to model order reduction attempts. The purpose of this work is to show ho...
متن کاملPeriodic Homogenization for Hypoelliptic Diffusions
Abstract We study the long time behavior of an Ornstein–Uhlenbeck process under the influence of a periodic drift. We prove that, under the standard diffusive rescaling, the law of the particle position converges weakly to the law of a Brownian motion whose covariance can be expressed in terms of the solution of a Poisson equation. We also derive upper bounds on the convergence rate in several ...
متن کاملThe needle problem approach to non-periodic homogenization
We introduce a new method to homogenization of non-periodic problems and illustrate the approach with the elliptic equation −∇·(a∇u) = f . On the coefficients a we assume that solutions u of homogeneous εproblems on simplices with average slope ξ ∈ R have the property that flux-averages − ∫ a∇u ∈ R converge, for ε → 0, to some limit a∗(ξ), independent of the simplex. Under this assumption, whic...
متن کاملthe use of appropriate madm model for ranking the vendors of mci equipments using fuzzy approach
abstract nowadays, the science of decision making has been paid to more attention due to the complexity of the problems of suppliers selection. as known, one of the efficient tools in economic and human resources development is the extension of communication networks in developing countries. so, the proper selection of suppliers of tc equipments is of concern very much. in this study, a ...
15 صفحه اولError 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 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: Multiscale Modeling & Simulation
سال: 2008
ISSN: 1540-3459,1540-3467
DOI: 10.1137/070688791