On averaging of the non‐periodic conductivity coefficient using two‐scale extensions
Vsevolod Laptev, Salim Belouettar · PAMM · 2005
Abstract We consider a second order elliptic equation with known rapidly oscillated coefficient. The equation appears to describe such problems as heat transfer in composite materials, flow in non‐homogeneous porous media as well as in many others. For the periodic coefficient the averaging procedure is well known. The non‐periodic case is still a challenging problem. We present a two‐scale extension approach and apply it on one numerical example in 2D. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)