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Volumn 14, Issue 3, 1999, Pages 223-243

Fast domain decomposition high order Poisson solver

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; DIGITAL ARITHMETIC; MATHEMATICAL MODELS; NUMERICAL METHODS;

EID: 0343391192     PISSN: 08857474     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1023265301820     Document Type: Article
Times cited : (9)

References (18)
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    • Bjørstad, P.1    Widlund, O.2
  • 2
    • 0000161555 scopus 로고
    • On direct methods for solving Poisson's equations
    • Buzbee, B. L., Golub, G. H., and Nielson C. W. (1970). On direct methods for solving Poisson's equations. SIAM J. Numer. Anal. 7, 627-656.
    • (1970) SIAM J. Numer. Anal. , vol.7 , pp. 627-656
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  • 3
    • 0023331179 scopus 로고
    • Analysis of preconditioners for domain decomposition
    • Chan, T. F. (1987). Analysis of preconditioners for domain decomposition. SIAM J. Numer. Anal. 24, 382-390.
    • (1987) SIAM J. Numer. Anal. , vol.24 , pp. 382-390
    • Chan, T.F.1
  • 4
    • 0042296776 scopus 로고
    • A domain-decomposed fast Poisson solver on a rectangle
    • Chan, T. F., and Resasco D. C. (1987). A domain-decomposed fast Poisson solver on a rectangle. SIAM J. Sci. Stat. Comput. 8, 14-26.
    • (1987) SIAM J. Sci. Stat. Comput. , vol.8 , pp. 14-26
    • Chan, T.F.1    Resasco, D.C.2
  • 5
    • 0014766213 scopus 로고
    • The direct solution of the discrete Poisson equation on a rectangle
    • Dorr, F. (1970). The direct solution of the discrete Poisson equation on a rectangle. SIAM Rev. 12, 248-263.
    • (1970) SIAM Rev. , vol.12 , pp. 248-263
    • Dorr, F.1
  • 6
    • 0001954099 scopus 로고
    • A capacitance matrix method for Dirichlet problem on polygonal region
    • Dryja, M. (1982). A capacitance matrix method for Dirichlet problem on polygonal region. Numer. Math. 39, 51-64.
    • (1982) Numer. Math. , vol.39 , pp. 51-64
    • Dryja, M.1
  • 10
    • 0001253456 scopus 로고
    • A comparison of domain decomposition techniques for elliptic partial differential equations and their parallel implementation
    • Keyes, D. E., and Gropp, W. D. (1987). A comparison of domain decomposition techniques for elliptic partial differential equations and their parallel implementation. SIAM J. Sci. Stat. Comput. 8, 166-202.
    • (1987) SIAM J. Sci. Stat. Comput. , vol.8 , pp. 166-202
    • Keyes, D.E.1    Gropp, W.D.2
  • 11
    • 0000622932 scopus 로고
    • Accelerating the convergence of discretizations algorithms
    • Pereyra, V. (1967a). Accelerating the convergence of discretizations algorithms. SIAM J. Numer. Anal. 4, 508-532.
    • (1967) SIAM J. Numer. Anal. , vol.4 , pp. 508-532
    • Pereyra, V.1
  • 12
    • 0008514672 scopus 로고
    • Iterated deferred corrections for nonlinear operator equations
    • Pereyra, V. (1967b). Iterated deferred corrections for nonlinear operator equations. Numer. Math. 10, 316-323.
    • (1967) Numer. Math. , vol.10 , pp. 316-323
    • Pereyra, V.1
  • 13
    • 0008499364 scopus 로고
    • Iterated deferred corrections for nonlinear boundary value problems
    • Pereyra, V. (1968). Iterated deferred corrections for nonlinear boundary value problems. Numer. Math. 11, 111-125.
    • (1968) Numer. Math. , vol.11 , pp. 111-125
    • Pereyra, V.1
  • 14
    • 84968468913 scopus 로고
    • Highly accurate numerical solution of cuasilinear elliptic boundary-value problems in n dimensions
    • Pereyra, V. (1970). Highly accurate numerical solution of cuasilinear elliptic boundary-value problems in n dimensions. Math. Comp. 24, 771-783.
    • (1970) Math. Comp. , vol.24 , pp. 771-783
    • Pereyra, V.1
  • 15
    • 84966241274 scopus 로고
    • High order fast Laplace solvers for the Dirichlet problem on general regions
    • Pereyra, V., Proskurowski, W., and Widlund, O. (1977). High order fast Laplace solvers for the Dirichlet problem on general regions. Math. Comp. 31, 1-16.
    • (1977) Math. Comp. , vol.31 , pp. 1-16
    • Pereyra, V.1    Proskurowski, W.2    Widlund, O.3
  • 16
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    • Asymptotic expansions for a class of elliptic difference schemes
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  • 17
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    • The methods of cyclic reduction, Fourier analysis and the FACR algorithm for the discrete solution of Poisson's equation on a rectangle
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    • Swarztrauber, P.N.1
  • 18
    • 0005708873 scopus 로고
    • Elliptic difference operators and Dirichlet's problem
    • Thomée, V. (1964). Elliptic difference operators and Dirichlet's problem. Contrib. Diff. Equations. III(3), 301-324.
    • (1964) Contrib. Diff. Equations. , vol.3 , Issue.3 , pp. 301-324
    • Thomée, V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.