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JOURNALS // Matematicheskoe modelirovanie // Archive

Matem. Mod., 1996 Volume 8, Number 9, Pages 31–43 (Mi mm1617)

This article is cited in 2 papers

Proceedins of the International Conference on the Optimization of the Finite Element Approximations (OFEA-95), St.-Petersburg, 25–29 June 1995

Adaptive composite finite elements for the solution of PDEs containing nonuniformely distributed micro-scales

W. Hackbusch, S. A. Sauter

Christian-Albrechts-Universität

Abstract: 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.

Language: English



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