A new approximate method for second order elliptic problems with rapidly oscillating coefficients based on the method of multiscale asymptotic expansions

作者：He Wen Ming^*; Cui Jun Zhi

来源：Journal of Mathematical Analysis and Applications, 2007, 335(1): 657-668.

DOI：10.1016/j.jmaa.2007.01.085

• the method of multiscale asymptotic expansions
• second order elliptic equations with rapidly oscillating coefficients
• error estimate

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 G(x0)(epsilon), 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.

• 出版日期2007-11-1
• 单位温州大学