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MiS Preprint
138/2006

Numerical Method for Elliptic Multiscale Problems

Isabelle Greff and Wolfgang Hackbusch

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:
Nov 28, 2006
Published:
Nov 28, 2006
MSC Codes:
34E13
Keywords:
discrete boundary value problems, multiple scales

Related publications

inJournal
2008 Repository Open Access
Isabelle Greff and Wolfgang Hackbusch

Numerical method for elliptic multiscale problems

In: Journal of numerical mathematics, 16 (2008) 2, pp. 119-138