Geodesic
The support operator method for elliptical and parabolic boundary problems with discontinuous coefficients in anisotropic media
Matematičeskoe modelirovanie, Tome 19 (2007) no. 5, pp. 105-115.

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The work deals with elliptical and parabolic-type equations with discontinuous coefficients in anisotropic media. The support operator method is used to create a difference scheme. Approximation and convergence are investigated and mathematical modelling results are given. 
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     title = {The support operator method for elliptical and parabolic boundary problems with discontinuous coefficients in anisotropic media},
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A. Kh. Pergament; V. A. Semiletov. The support operator method for elliptical and parabolic boundary problems with discontinuous coefficients in anisotropic media. Matematičeskoe modelirovanie, Tome 19 (2007) no. 5, pp. 105-115. http://geodesic.mathdoc.fr/item/MM_2007_19_5_a8/

[1] A. A. Samarskii, A. V. Koldoba, Yu. A. Poveschenko, V. F. Tishkin, A. P. Favorskii, Raznostnye skhemy na neregulyarnykh setkakh, Minsk, 1996

[2] M. Yu. Zaslavskii, A. Kh. Pergament, “Algoritmy osredneniya i metod opornykh operatorov v ellipticheskikh zadachakh s razryvnymi koeffitsientami”, Zhurnal vych. matematiki i matem. fiziki, 45:9 (2005), 1594 | MR | Zbl

[3] I. Babuska, G. Caloz, J. E. Osborn, “Special finite element methods for a class of second order elliptic problems with rough coefficients”, SIAM J. Numer. Anal., 31 (1994), 945–981 | DOI | MR | Zbl