95-2   Berichtsreihe des Mathematischen Seminars der Universität Kiel

Wolfgang Hackbusch, Stefan A. Sauter:

Adaptive Composite Finite Elements for the Solution of PDEs containing non-uniformely distributed Micro-Scales

In this paper we will introduce Adaptive Composite Finite Elements as a discrete homogenization technique for partial differential equations having small micro-structures as, e.g., rough boundaries or jumping coefficients. These Finite Elements allow to discretize such problems only with a few degrees of freedom and still getting the required asymptotic approximation property. This method can be applied for both, a relatively crude approximation of the PDE and the application of multi-grid methods to problems where standard finite elements would always result in systems of equations having a huge number of unknowns.

Bibliographical note: Matematicheskoe modelirovanie 8, N 9, 31-43 (1996)

Mail an Jens Burmeister
[Thu Feb 19 18:56:33 2009]
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