Geodesic
The method of orthogonal projections and the Dirichlet problem in domains with a~fine-grained boundary
Sbornik. Mathematics, Tome 17 (1972) no. 1, pp. 37-59

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The Dirichlet problem is considered for an elliptic selfadjoint operator $L$ in a domain $D^{(s)}=D\setminus\bigcup_{i=1}^s F_i^{(s)}$, where $D$ is a bounded domain in $R_n$ and the $F_i^{(s)}$ are nonintersecting closed sets (grains). It is shown that, if the grain diameters tend to zero, and the number $s$ of grains tends to infinity, the solution of the problem reduces, under certain conditions, to the solution of another boundary value problem in the simpler domain $D$. Bibliography: 8 titles. 
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     author = {E. Ya. Khruslov},
     title = {The method of orthogonal projections and the {Dirichlet} problem in domains with a~fine-grained boundary},
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E. Ya. Khruslov. The method of orthogonal projections and the Dirichlet problem in domains with a~fine-grained boundary. Sbornik. Mathematics, Tome 17 (1972) no. 1, pp. 37-59. http://geodesic.mathdoc.fr/item/SM_1972_17_1_a2/