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Volumn 20, Issue 1, 1998, Pages 228-242

A semicoarsening multigrid method for elliptic partial differential equations with highly discontinuous and anisotropic coefficients

Author keywords

Black box multigrid; Diffusion equation; Discontinuous coefficients; Multigrid; Operator induced prolongation; Semicoarsening multigrid

Indexed keywords

DIFFUSION EQUATIONS; SEMICOARSENING MULTIGRID METHODS;

EID: 0032131639     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1064827595281587     Document Type: Article
Times cited : (67)

References (24)
  • 1
    • 85034175802 scopus 로고
    • A Semicoarsening Multigrid Algorithm with Preconditioned Conjugate Gradient Acceleration for Two-Phase Flow in Porous Media
    • Ecodynamics Research Associates, Inc.
    • J. BEAN, J. JONES, T. MANTEUFFEL, S. F. MCCORMICK, T. RUSSELL, J. W. RUGE, AND P. VAUGHN, A Semicoarsening Multigrid Algorithm with Preconditioned Conjugate Gradient Acceleration for Two-Phase Flow in Porous Media, internal report, Ecodynamics Research Associates, Inc., 1993.
    • (1993) Internal Report
    • Bean, J.1    Jones, J.2    Manteuffel, T.3    Mccormick, S.F.4    Russell, T.5    Ruge, J.W.6    Vaughn, P.7
  • 2
    • 0010815910 scopus 로고
    • Multigrid solution of three-dimensional problems with discontinuous coefficients
    • A. BEHIE AND P. A. FORSYTH, JR., Multigrid solution of three-dimensional problems with discontinuous coefficients, Appl. Math. Comput., 13 (1983), pp. 366-386.
    • (1983) Appl. Math. Comput. , vol.13 , pp. 366-386
    • Behie, A.1    Forsyth Jr., P.A.2
  • 3
    • 84966233568 scopus 로고
    • Multi-level adaptive solutions to boundary-value problems
    • A. BRANDT, Multi-level adaptive solutions to boundary-value problems, Math. Comp., 31 (1977), pp. 333-390.
    • (1977) Math. Comp. , vol.31 , pp. 333-390
    • Brandt, A.1
  • 4
    • 0013240081 scopus 로고
    • A note on the efficiency of domain decomposed incomplete factorizations
    • T. F. CHAN AND D. GOOVAERT, A note on the efficiency of domain decomposed incomplete factorizations, SIAM J. Sci. Stat. Comput., 11 (1990), pp. 794-803.
    • (1990) SIAM J. Sci. Stat. Comput. , vol.11 , pp. 794-803
    • Chan, T.F.1    Goovaert, D.2
  • 5
    • 0000413963 scopus 로고
    • The interface probing technique in domain decomposition
    • T. F. CHAN AND T. P. MATHEW, The interface probing technique in domain decomposition, SIAM J. Matrix Anal. Appl., 13 (1992), pp. 212-238.
    • (1992) SIAM J. Matrix Anal. Appl. , vol.13 , pp. 212-238
    • Chan, T.F.1    Mathew, T.P.2
  • 7
    • 0001677218 scopus 로고
    • Black box multigrid
    • J. E. DENDY, JR., Black box multigrid, J. Comput. Phys., 48 (1982), pp. 306-386.
    • (1982) J. Comput. Phys. , vol.48 , pp. 306-386
    • Dendy Jr., J.E.1
  • 8
    • 0000555209 scopus 로고
    • Black box multigrid for nonsymmetric problems
    • J. E. DENDY, JR., Black box multigrid for nonsymmetric problems, Appl. Math. Comput., 13 (1982), pp. 261-283.
    • (1982) Appl. Math. Comput. , vol.13 , pp. 261-283
    • Dendy Jr., J.E.1
  • 9
    • 38249041117 scopus 로고
    • Black box multigrid for systems
    • J. E. DENDY, JR., Black box multigrid for systems, Appl. Math. Comput., 19 (1986), pp. 57-74.
    • (1986) Appl. Math. Comput. , vol.19 , pp. 57-74
    • Dendy Jr., J.E.1
  • 10
    • 0000025929 scopus 로고
    • Two multigrid methods for three-dimensional problems with discontinuous and anisotropic coefficients
    • J. E. DENDY, JR., Two multigrid methods for three-dimensional problems with discontinuous and anisotropic coefficients, SIAM J. Sci. Stat. Comput., 8 (1987), pp. 673-685.
    • (1987) SIAM J. Sci. Stat. Comput. , vol.8 , pp. 673-685
    • Dendy Jr., J.E.1
  • 11
    • 0000090659 scopus 로고
    • A semicoarsening multigrid algorithm for SIMD machines
    • J. E. DENDY, JR., M. P. IDA, AND J. M. RUTLEDGE, A semicoarsening multigrid algorithm for SIMD machines, SIAM J. Sci. Stat. Comput., 13 (1992), pp. 1460-1409.
    • (1992) SIAM J. Sci. Stat. Comput. , vol.13 , pp. 1460-11409
    • Dendy Jr., J.E.1    Ida, M.P.2    Rutledge, J.M.3
  • 13
    • 0003090969 scopus 로고
    • Matrix-dependent prolongations and restrictions in a blackbox multigrid solver
    • P. M. DE ZEEUW, Matrix-dependent prolongations and restrictions in a blackbox multigrid solver, J. Comput. Appl. Math., 33 (1990), pp. 1-27.
    • (1990) J. Comput. Appl. Math. , vol.33 , pp. 1-27
    • De Zeeuw, P.M.1
  • 15
    • 34249963996 scopus 로고
    • The frequency decomposition multigrid method
    • W. HACKBUSCH, The frequency decomposition multigrid method, Numer. Math., 56 (1989), pp. 229-245.
    • (1989) Numer. Math. , vol.56 , pp. 229-245
    • Hackbusch, W.1
  • 17
    • 0001685657 scopus 로고
    • An algebraic interpretation of multigrid methods
    • S. F. MCCORMICK, An algebraic interpretation of multigrid methods, SIAM J. Numer. Anal., 19 (1982), pp. 548-560.
    • (1982) SIAM J. Numer. Anal. , vol.19 , pp. 548-560
    • Mccormick, S.F.1
  • 19
    • 85034167199 scopus 로고    scopus 로고
    • The SECO code algorithms for groundwater flow and transport
    • Barcelona, Spain
    • P. ROACHE, The SECO code algorithms for groundwater flow and transport, in BEMIF'93, Barcelona, Spain.
    • BEMIF'93
    • Roache, P.1
  • 20
    • 0001885411 scopus 로고
    • Algebraic multigrid (AMG)
    • S. F. McCormick, ed., SIAM, Philadelphia
    • J. W. RUGE AND K. STUEBEN, Algebraic multigrid (AMG), in Multigrid Methods, Frontiers in Appl. Math. 5, S. F. McCormick, ed., SIAM, Philadelphia, 1987, pp. 73-130.
    • (1987) Multigrid Methods, Frontiers in Appl. Math. , vol.5 , pp. 73-130
    • Ruge, J.W.1    Stueben, K.2
  • 21
    • 0000443980 scopus 로고
    • Approximate cyclic reduction for solving Poisson's equation
    • P. N. SCHWARZTRAUBER, Approximate cyclic reduction for solving Poisson's equation, SIAM J. Sci. Stat. Comput., 8 (1987), pp. 199-209.
    • (1987) SIAM J. Sci. Stat. Comput. , vol.8 , pp. 199-209
    • Schwarztrauber, P.N.1
  • 22
    • 0001468266 scopus 로고
    • Semicoarsening multigrid on a hypercube
    • R. A. SMITH AND A. WEISER, Semicoarsening multigrid on a hypercube, SIAM J. Sci. Stat. Comput., 13 (1992), pp. 1314-1329.
    • (1992) SIAM J. Sci. Stat. Comput. , vol.13 , pp. 1314-1329
    • Smith, R.A.1    Weiser, A.2
  • 23
    • 25444519840 scopus 로고
    • A review of five linear system solvers used for elliptic partial differential equations
    • J. TOWNS AND E. SEIDEL, A review of five linear system solvers used for elliptic partial differential equations, NCSA data-link, 6 (1992), pp. 34-46.
    • (1992) NCSA Data-link , vol.6 , pp. 34-46
    • Towns, J.1    Seidel, E.2
  • 24
    • 0000561596 scopus 로고
    • On the robustness of ILU smoothing
    • G. WITTUM, On the robustness of ILU smoothing, SIAM J. Sci. Stat. Comput., 10 (1989), pp. 699-711.
    • (1989) SIAM J. Sci. Stat. Comput. , vol.10 , pp. 699-711
    • Wittum, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.