Accessible Requires Authentication Published by De Gruyter June 25, 2008

Numerical method for elliptic multiscale problems

I. Greff and W. Hackbusch
From the journal

Abstract

In this paper we are interested in the coarse-mesh approximations of a class of second order elliptic operators with rough or rapidly oscillatory coefficients. We intend to provide a smoother elliptic operator which on a coarse mesh behaves like the original operator. Note that there is no requirement on smoothness or periodicity of the coefficients. To simplify the theory and the numerical implementations, we restrict ourselves to the one-dimensional case.

Received: 2006-11-28
Revised: 2007-12-19
Published Online: 2008-06-25
Published in Print: 2008-June

© de Gruyter 2008