Maxwell Homogenization Scheme in Micromechanics: an Overview
نویسندگان
چکیده
منابع مشابه
Homogenization of the 1D Vlasov-Maxwell equations
In this report we investigate the homogenization of the one dimensional Vlasov-Maxwell system. We indicate the rate of convergence towards the limit solution. In the non relativistic case we compute explicitly the limit solution. The theoretical results are illustrated by some numerical simulations. Résumé : Dans ce rapport nous analysons l'homogénéisation des équations de Vlasov-Maxwell 1D. Da...
متن کاملHomogenization scheme for acoustic metamaterials
Min Yang,1,* Guancong Ma,1 Ying Wu,3 Zhiyu Yang,1 and Ping Sheng1,2,† 1Department of Physics, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, China 2Institute of Advanced Study, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, China 3Division of Computer, Electrical and Mathematical Science and Engineering, King Abdullah U...
متن کاملHomogenization of random elliptic systems with an application to Maxwell ’ s equations ∗
We study the homogenization of elliptic systems of equations in divergence form where the coefficients are compositions of periodic functions with a random diffeomorphism with stationary gradient. This is done in the spirit of scalar stochastic homogenization by Blanc, Le Bris and P.-L. Lions. An application of the abstract result is given for Maxwell’s equations in random dissipative bianisotr...
متن کاملSelf-consistent scheme for toughness homogenization
Considering a semi-infinite planar crack propagating along a plane where the local toughness is a random field, the addressed problem is to compute the effective (or homogeneous and macroscopic) toughness. After a brief introduction to the two regimes — strong and weak pinning — that are expected depending on the system size, a self-consistent homogenization scheme is introduced. It is shown th...
متن کاملThe Gap-Tooth Scheme for Homogenization Problems
An important class of problems exhibits smooth behaviour in space and time on a macroscopic scale, while only a microscopic evolution law is known. For such time-dependent multi-scale problems, an “equationfree framework” has been proposed, of which the gap-tooth scheme is an essential component. The gap-tooth scheme is designed to approximate a time-stepper for an unavailable macroscopic equat...
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: MATEC Web of Conferences
سال: 2017
ISSN: 2261-236X
DOI: 10.1051/matecconf/201713203017