MiS Preprint Repository

Delve into the future of research at MiS with our preprint repository. Our scientists are making groundbreaking discoveries and sharing their latest findings before they are published. Explore repository to stay up-to-date on the newest developments and breakthroughs.

MiS Preprint

Numerical Method for Elliptic Multiscale Problems

Isabelle Greff and Wolfgang Hackbusch


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.

Nov 28, 2006
Nov 28, 2006
MSC Codes:
discrete boundary value problems, multiple scales

Related publications

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