An iterative method for elliptic problems on regions partitioned into substructures

Mathematics of Computation

Volumn 46, Issue 174, 1986, Pages 361-369

  Bramble, J H ^a   Pasciak, J E ^b   Schatz, A H ^a  

^a Department of Obstetrics Gynecology   (United States)

^b BROOKHAVEN NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84966238014     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-1986-0829613-0     Document Type: Article

References (14)

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3. P. E. Bjorstad & O. B. Widlund, "Solving elliptic problems on régions partitioned into substructures, " Elliptic Problem Soluers 2 (G. Birkhoff and A. Schoenstadt, eds.), Academic Press, New York, 1984.
4. B. L. Buzbee & F. W. Dorr, "The direct solution of the biharmonic équation on rectangular régions and the Poisson équation on irregular régions, " SI AM J. Numer. Anal., v. 11, 1974, pp. 753-763.
5. B. L. Buzbee, F. W. Dorr, J. A. George & G. H. Golub, "The direct solution of the discrète Poisson équation on irregular régions, " SI AM J. Numer. Anal., v. 8, 1971, pp. 722-736.
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8. P. Grisvard, Elliptic Problems in Nonsmooth Domains, Pitman, Boston, 1985.
9. P. Conçus, G. Golub & D. O'Leary, "A generalized conjúgate gradient method for the numerical solution of elliptic partial differential équations, " Sparse Matrix Computations (J. Bunch and D. Rose, eds.), Academic Press, New Yok, 1976, pp. 309-322.
10. H. C. Elman, Iterative Methods for Large, Sparse, Nonsymmetric Systems of Linear Equations, Yale Univ. Dept. Comp. Sci. Report No. 229, 1978.
11. J. L. Lions & E. Magenes, Problèmes aux Limites non Homogènes et Applications, Vol. 1, Dunod, Paris, 1968.
12. J. NeCas, Les Méthodes Directes en Théorie des Equations Elliptiques, Academia, Prague, 1967.
13. W. Proskurowski & O. Widlund, "A finite element-capacitance matrix method for the Neumann problem for Laplace's équation, " SI AM J. Sci. Statist. Comput.y v. 1, 1980, pp. 410-426.
14. W. Proskurowski & O. Widlund, "On the numerical solution of Helmholtz's équation by the capacitance matrix method, " Math. Comp.y v. 20, 1976, pp. 433-468.