Geodesic
Adaptive composite finite elements for the solution of PDEs containing nonuniformely distributed micro-scales
Matematičeskoe modelirovanie, Tome 8 (1996) no. 9, pp. 31-43.

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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. 
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     author = {W. Hackbusch and S. A. Sauter},
     title = {Adaptive composite finite elements for the solution of {PDEs} containing nonuniformely distributed micro-scales},
     journal = {Matemati\v{c}eskoe modelirovanie},
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     year = {1996},
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W. Hackbusch; S. A. Sauter. Adaptive composite finite elements for the solution of PDEs containing nonuniformely distributed micro-scales. Matematičeskoe modelirovanie, Tome 8 (1996) no. 9, pp. 31-43. http://geodesic.mathdoc.fr/item/MM_1996_8_9_a3/