Analysis of algorithms of the arrow-hurwicz type

Computational Mathematics and Mathematical Physics

Volumn 41, Issue 1, 2001, Pages 15-26

  Astrakhantsev, G P ^a  

^a Institute for Economics and Mathematics   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 20044372293     PISSN: 09655425     EISSN: 15556662     Source Type: Journal    
DOI: None     Document Type: Article

References (9)

1. Astrakhantsev, G.P., Approximate Solution Method for the Dirichlet Problem for the Biharmonic Equation, Zh. Vychisl. Mat. Mat. Fiz., 1977. vol. 17, no. 4, pp. 980-988.
2. Chizhonkov, E.V., On the Convergence of the Artificial Compressibility Method, Vestn. Mosk. Gos. Univ. Ser. 1: Mat. Mekh., 1996, no. 2, pp. 13-19.
3. Bramble, J.H., Pasciak, J.E., and Vassilev, A.T., Analysis of the Implicit Uzawa Algorithm for Saddle Point Problems. SIAM J. Numer. Analys., 1997. vol. 34, no. 3, pp. 1072-1092.
4. Chizhonkov, E.V., Some Results on the Convergence of the Arrow-Hurwicz Algorithm for Stokes-Type Algebraic Systems, Zh. Vychisl. Mat. Mat. Fiz., 1999. vol. 39, no. 3, pp. 523-533.
5. Chizhonkov, E.V., Iterative Methods for Finite-Difference Equations with Saddle Operator, Doctoral (Phys., Math.) Dissertation. Moscow, Moscow State Univ., 1999.
6. Queck, W., The Convergence Factor of Preconditioned Algorithms of the Arrow-Hurwicz Type, SIAM J. Numer. Analys., 1989, vol. 26. no. 4, pp. 1016-1030.
7. Astrakhantsev, G.P., On the Choice of a Relaxation Parameter. Mat. Zametki, 1966, no. 11, pp. 555-558.
8. Arnold, D.N., Brezzi, F., and Fortin, M., A Stable Finite Element for the Stokes Equation, Calcolo, 1984, vol. 21, no. 4. pp. 337-344.
9. Brezzi, F. and Fortin, M., Mixed and Hybrid Finite Element Methods, New York: Springer, 1991.