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Volumn 66, Issue 217, 1997, Pages 125-138

Preconditioning the Poincaré-Steklov operator by using Green's function

Author keywords

Domain decomposition; Green's function; Multigrid; Poincar Steklov operator; Preconditioner; Schur complement

Indexed keywords


EID: 0031543123     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0025-5718-97-00799-0     Document Type: Article
Times cited : (24)

References (19)
  • 1
    • 84966199070 scopus 로고
    • The construction of preconditioners for elliptic problems by substructuring
    • MR 87m:65174
    • J. H. Bramble, J. E. Pasciak, and A. H. Schatz. The construction of preconditioners for elliptic problems by substructuring, I. Math. Comp., 47:103-134, 1986. MR 87m:65174
    • (1986) I. Math. Comp. , vol.47 , pp. 103-134
    • Bramble, J.H.1    Pasciak, J.E.2    Schatz, A.H.3
  • 2
    • 84966238014 scopus 로고
    • An iterative method for elliptic problems on regions partitioned into substructures
    • MR 88a:65123
    • _, An iterative method for elliptic problems on regions partitioned into substructures. Math. Comp., 46:361-369, 1986. MR 88a:65123
    • (1986) Math. Comp. , vol.46 , pp. 361-369
  • 3
    • 84966251372 scopus 로고
    • The construction of preconditioners for elliptic problems by substructuring, II
    • MR 88j:65248
    • _, The construction of preconditioners for elliptic problems by substructuring, II. Math. Comp., 49:1-16, 1987. MR 88j:65248
    • (1987) Math. Comp. , vol.49 , pp. 1-16
  • 4
    • 84968495074 scopus 로고
    • The construction of preconditioners for elliptic problems by substructuring, IV
    • MR 89m:65098
    • _, The construction of preconditioners for elliptic problems by substructuring, IV. Math. Comp., 53:1-24, 1989. MR 89m:65098
    • (1989) Math. Comp. , vol.53 , pp. 1-24
  • 6
    • 0007444976 scopus 로고
    • A method of domain decomposition for 3-D finite element elliptic problems
    • R. Glowinski, G. H. Golub, G. A. Meurant, and J. Périaux, editors, Philadelphia, PA, SIAM. MR 90b:65200
    • M. Dryja. A method of domain decomposition for 3-D finite element elliptic problems. In R. Glowinski, G. H. Golub, G. A. Meurant, and J. Périaux, editors, First International Symposium on Domain Decomposition Methods for Partial Differential Equations, Philadelphia, PA, 1988. SIAM. MR 90b:65200
    • (1988) First International Symposium on Domain Decomposition Methods for Partial Differential Equations
    • Dryja, M.1
  • 7
    • 0001159513 scopus 로고
    • Domain decomposition algorithms with small overlap
    • MR 95d:65102
    • M. Dryja and O. B. Widlund. Domain decomposition algorithms with small overlap. SIAM J. Sci. Statist. Comput., 15:604-620, 1994. MR 95d:65102
    • (1994) SIAM J. Sci. Statist. Comput. , vol.15 , pp. 604-620
    • Dryja, M.1    Widlund, O.B.2
  • 9
    • 0001238977 scopus 로고
    • A fast adaptive multipole algorithm for particle simulations
    • MR 89e:65008
    • L. Greengard J. Carrier and V. Rokhlin. A fast adaptive multipole algorithm for particle simulations. SIAM J. Sci. Statist. Comput., 9:669-686, 1988. MR 89e:65008
    • (1988) SIAM J. Sci. Statist. Comput. , vol.9 , pp. 669-686
    • Greengard, L.1    Carrier, J.2    Rokhlin, V.3
  • 12
    • 0011327238 scopus 로고
    • Norms in the space of traces of mesh functions
    • _, Norms in the space of traces of mesh functions. Soviet J. Numer. Anal. Math. Modelling, 3:199-216, 1988.
    • (1988) Soviet J. Numer. Anal. Math. Modelling , vol.3 , pp. 199-216
  • 14
    • 0000453571 scopus 로고
    • An optimal domain decomposition preconditioner for the finite element solution of linear elasticity problems
    • MR 92g:73080
    • B. F. Smith. An optimal domain decomposition preconditioner for the finite element solution of linear elasticity problems. SIAM J. Sci. Statist. Comput., 13:364-378, 1992. MR 92g:73080
    • (1992) SIAM J. Sci. Statist. Comput. , vol.13 , pp. 364-378
    • Smith, B.F.1
  • 15
    • 0005651056 scopus 로고
    • A domain decomposition algorithm using a hierarchical basis
    • MR 91m:65125
    • B. F. Smith and O. B. Widlund. A domain decomposition algorithm using a hierarchical basis. SIAM J. Sci. Statist. Comput., 11:1212-1220, 1990. MR 91m:65125
    • (1990) SIAM J. Sci. Statist. Comput. , vol.11 , pp. 1212-1220
    • Smith, B.F.1    Widlund, O.B.2
  • 16
    • 0000846393 scopus 로고
    • A domain decomposition preconditioner based on a change to a multilevel nodal basis
    • MR 92i:65070
    • C. H. Tong, T. F. Chan and C. J. Kuo. A domain decomposition preconditioner based on a change to a multilevel nodal basis. SIAM J. Sci. Statist. Comput., 12:1486-1495, 1991. MR 92i:65070
    • (1991) SIAM J. Sci. Statist. Comput. , vol.12 , pp. 1486-1495
    • Tong, C.H.1    Chan, T.F.2    Kuo, C.J.3
  • 18
    • 0000570696 scopus 로고
    • Iterative methods by space decomposition and subspace correction
    • MR 93k:65029
    • _, Iterative methods by space decomposition and subspace correction. SIAM Review, 34:581-613, 1992. MR 93k:65029
    • (1992) SIAM Review , vol.34 , pp. 581-613


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