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
Cet article a éte moissonné depuis la source Math-Net.Ru
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.
@article{MM_2007_19_5_a8,
author = {A. Kh. Pergament and V. A. Semiletov},
title = {The support operator method for elliptical and parabolic boundary problems with discontinuous coefficients in anisotropic media},
journal = {Matemati\v{c}eskoe modelirovanie},
pages = {105--115},
year = {2007},
volume = {19},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MM_2007_19_5_a8/}
}
TY - JOUR AU - A. Kh. Pergament AU - V. A. Semiletov TI - The support operator method for elliptical and parabolic boundary problems with discontinuous coefficients in anisotropic media JO - Matematičeskoe modelirovanie PY - 2007 SP - 105 EP - 115 VL - 19 IS - 5 UR - http://geodesic.mathdoc.fr/item/MM_2007_19_5_a8/ LA - ru ID - MM_2007_19_5_a8 ER -
%0 Journal Article %A A. Kh. Pergament %A V. A. Semiletov %T The support operator method for elliptical and parabolic boundary problems with discontinuous coefficients in anisotropic media %J Matematičeskoe modelirovanie %D 2007 %P 105-115 %V 19 %N 5 %U http://geodesic.mathdoc.fr/item/MM_2007_19_5_a8/ %G ru %F MM_2007_19_5_a8
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