Abstract :
In this paper, we consider second order elliptic problems with rapidly oscillating coefficients. On basis
of [O.A. Oleinik, A.S. Shamaev, G.A. Yosifian, Mathematical Problems in Elasticity and Homogenization,
North-Holland, Amsterdam, 1992;Wen-ming He, Jun-zhi Cui, A pointwise estimate on the 1-order approximation
of Gε
x0 , IMA J. Appl. Math. 70 (2005) 241–269] we propose a new approximate method to solve
these problems. Of course, we present its error estimate.
© 2007 Elsevier Inc. All rights reserved
Keywords :
Error estimate , The method of multiscale asymptotic expansions , Second order elliptic equations with rapidly oscillatingcoefficients
