The construction of preconditioners for elliptic problems by substructuring, iii

Mathematics of Computation

Volumn 51, Issue 184, 1988, Pages 415-430

  Bramble, James H ^a   Pasciak, Joseph E ^b   Schatz, Aifred H ^a  

^a Department of Obstetrics Gynecology   (United States)

^b BROOKHAVEN NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84966211313     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-1988-0935071-X     Document Type: Article

References (12)

1. P. E. BJORSTAD & O. B. WIDLUND, "Solving elliptic problems on regions partitioned into substructures, " Elliptic Problem SolversW (G. Birkhoff and A. Schoenstadt, eds.), Academic Press, New York, 1984, pp. 245-256
2. P. E. BJORSTADK O. B. WIDLUND, "Iterative methods for the solution of elliptic problems on regions partitioned into substructures, " SIAM J. Numer. Anal, v. 23, 1986, pp. 1097-1120.
3. J. H. Bramble, J. E. Pasciak & A.H. SCHATZ, "An iterative method for elliptic problems on regions partitioned into substructures, ' Math. Comp., v. 46, 1986, pp. 361-369.
4. J. H. Bramble, J. E. Pasciak & A. H. SCHATZ, "The construction of preconditioners for elliptic problems by substructuring I" Math. Comp., v. 47, 1986, pp. 103-134.
5. J. H. Bramble, J. E. Pasciak & A. H. SCHATZ, "The construction of preconditioners for elliptic problems by substructuring II" Math. Comp., v. 47, 1986, pp. 103-134.
6. B. L. BUZBEE & F. W. DORR, "The direct solution of the biharmonic equation on rectangular regions and the Poisson equation on irregular regions, " SIAM J. Numer. Anal, v. 11, 1974, pp. 753-763.
7. B. L. BUZBEE, F. W. DORR, J. A. GEORGE & G. H. GOLUB, "The direct solution of the discrete Poisson equation on irregular regions, " SIAM J. Numer. Anal, v. 8, 1971, pp. 722-736.
8. Q. V. DIHN, R. Glowinski & J. PÉRIAUX, "Solving elliptic problems by domain decomposition methods, " in Elliptic Problem Solvers II (G. Birkhoff and A. Schoenstadt, eds.), Academic Press, New York, 1984, pp. 395-426.
9. G. H. GOLUB & D. MEYERS, The Use of Preconditioning Over Irregular Regions, Proc. 6th Internat. Conf. Comput. Meth. Sei. and Engrg., Versailles, 1983.
10. J. L. LIONS & E. MAGENES, Problèmes aux Limites non Homogènes et Applications, Dunod, Paris, 1968.
11. J. NECAS, Les Méthodes Directes en Théorie des Equations Elliptiques, Academia, Prague, 1967.
12. W. M. PATTERSON, 3rd, Iterative Methods for the Solution of a Linear Operator Equation in Hubert Space—A Survey, Lecture Notes in Math., vol. 394, Springer-Verlag, New York, 1974.