Affordable Access

Publisher Website

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

Authors
Journal
Journal of Mathematical Analysis and Applications
0022-247X
Publisher
Elsevier
Publication Date
Volume
335
Issue
1
Identifiers
DOI: 10.1016/j.jmaa.2007.01.085
Keywords
  • The Method Of Multiscale Asymptotic Expansions
  • Second Order Elliptic Equations With Rapidly Oscillating Coefficients
  • Error Estimate

Abstract

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 G x 0 ε , 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.

There are no comments yet on this publication. Be the first to share your thoughts.

Statistics

Seen <100 times
0 Comments