On the solution of the boundary value problem for the diffusion equation with highly varying coefficient

Russian Journal of Numerical Analysis and Mathematical Modelling

Volumn 11, Issue 6, 1996, Pages 487-495

  Kobelkov, G M ^a  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0006705851     PISSN: 09276467     EISSN: None     Source Type: Journal    
DOI: 10.1515/rnam.1996.11.6.487     Document Type: Article

References (14)

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2. N. S. Bakhvalov and A. V. Knyazev, A new iterative algorithm for solving the fictitious fluxes method problems for elliptic equations. In: Proceedings EQUADIFF 7. Praha, 1989.
3. N. S. Bakhvalov, G. M. Kobelkov, and E. V. Chizhonkov, Iterative method of solving elliptic equations with the rate of convergence independent of coefficients jump. Preprint No. 190, Dept. Numer. Math., USSR Acad. Sci., Moscow, 1988 (in Russian).
4. N. S. Bakhvalov, A. V. Knyazev, and G. M. Kobelkov, Iterative methods for solving elliptic equations with highly varying coefficients. In: Proc. in Applied Math., Vol.51. Philadelphia, SIAM, 1991, pp. 197-205.
5. G. M. Kobelkov, Fictitious domain method and the solution of elliptic equations with highly varying coefficients. Sov. J. Numer. Anal. Math. Modelling (1987) 2, No. 6, 407-418.
6. G. M. Kobelkov, A priori estimates for elliptic equations and iterative methods. In: Computational Mathematics and Applications. Proceedings of 8-th France-USSR-Italy Joint Symposium. Pavia, Italy, 1989, pp. 255-260.
7. G. M. Kobelkov, A priori estimates for elliptic equations and iterative methods. Sov. Math. Dokl. (1990) 41, No. 1, 175-177.
8. A. B. Kucherov and E. S. Nikolaev, Alternately-triangular iterative method of solving the grid elliptic equations in a rectangle. Zh. Vychisl. Mat. Mat. Fiz. (1976) 5, 1164-1175 (in Russian).
9. Yu. A. Kuznetsov, Block relaxation methods in subspaces, their optimization and application. In: Computational Methods in Applied Mathematics. Novosibirsk, 1982, pp. 119-143 (in Russian).
10. Yu. A. Kuznetsov, A. M. Matsokin, and V. V. Shaidurov, Rapid iterative methods of solving the systems of grid equations. In: Urgent Problems of Comp. Math. and Math. Modelling. Novosibirsk, 1985, pp. 207-228 (in Russian).
11. V. I. Lebedev and V. I. Agoshkov, Poincaré-Steklov Operators and their Applications in Analysis. Dept. Numer. Math., USSR Acad. Sci., Moscow, 1986 (in Russian).
12. V. I. Lebedev, Composition Method. Dept. Numer. Math., USSR Acad. Sci., Moscow, 1983 (in Russian).
13. M. M. Makarov, Solving the systems of elliptic equations by iterative methods in which approximate factorization is used. PhD thesis, Moscow, 1986 (in Russian).
14. S. M. Nikolskii, Approximation of the Functions of Many Variables and Embedding Theorems. Nauka, Moscow, 1969 (in Russian).