New iterative methods for singular perturbed positive definite matrices

Russian Journal of Numerical Analysis and Mathematical Modelling

Volumn 15, Issue 1, 2000, Pages 65-71

  Kuznetsov, A Yu ^a,b  

^a INSTITUTE OF NUMERICAL MATHEMATICS   (Russian Federation)

^b University of Houston   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0042090020     PISSN: 09276467     EISSN: None     Source Type: Journal    
DOI: 10.1515/rnam.2000.15.1.65     Document Type: Article

References (6)

1. G.P. Astrakhantsev, Method of fictitious domains for a second order elliptic equation subject to natural boundary conditions. J. Comp. Math. Math. Phys. (1979) 18, No. 1, 114-121.
2. J. Bramble, J. Pasciak, and A. Schatz, The construction of preconditioners for elliptic problems by substructuring, I. Math. Comp. (1986) 47, 103-134.
3. G. M. Kobelkov, On the solution of the boundary value problem for the diffusion equation with highly varying coefficients. Rus. J. Numer. Anal. Math. Modelling (1996) 11, No. 6, 487-495.
4. G. I. Marchuk and Yu. A. Kuznetsov, Methodes iteratives et fonctionnelles quadratiques. In: Méthodes Mathématiques de L'Informatique-4 (Eds. J.-L. Lions and G.I. Marchuk). Dunod, 1974, pp.3-131.
5. G.I. Marchuk and V.I. Lebedev, Numerical Methods in Neutron Transport Theory. Atomizdat, Moscow, 1981 (in Russian).
6. O. Widlund, An extension theorem for finite element spaces with three applications. In: Proc. of the 2nd GAMM Seminar, Kiel, 1986 (Eds. W. Hackbush and K. Witsch). Friedr. Vieweg and Sohn, 1987, pp. 110-122.