메뉴 건너뛰기




Volumn 35, Issue 7, 1998, Pages 45-54

Efficient parallel multigrid based solvers for large scale groundwater flow simulations

Author keywords

Hydrology; Multigrid method; Multiprocessors; Numerical methods; Partial differential equations

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; DISTRIBUTED COMPUTER SYSTEMS; NUMERICAL METHODS; PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING; SUPERCOMPUTERS; THREE DIMENSIONAL;

EID: 0032043024     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0898-1221(98)00031-5     Document Type: Article
Times cited : (20)

References (16)
  • 1
    • 0027007065 scopus 로고
    • Application of the connection machine to flow and transport problems in three-dimensional heterogeneous aquifers
    • G. Mahinthakumar and A. J. Valocchi, Application of the connection machine to flow and transport problems in three-dimensional heterogeneous aquifers, Advances in Water Resources 15, 289-302, (1992).
    • (1992) Advances in Water Resources , vol.15 , pp. 289-302
    • Mahinthakumar, G.1    Valocchi, A.J.2
  • 2
    • 0024830211 scopus 로고
    • A numerical investigation of the conjugate gradient method as applied to three-dimensional groundwater flow problems in randomly heterogeneous porous media
    • P.D. Meyer, A.J. Valocchi, S.F. Ashby and P.E. Saylor, A numerical investigation of the conjugate gradient method as applied to three-dimensional groundwater flow problems in randomly heterogeneous porous media, Water Resources Research 25, 1440-1446, (1989).
    • (1989) Water Resources Research , vol.25 , pp. 1440-1446
    • Meyer, P.D.1    Valocchi, A.J.2    Ashby, S.F.3    Saylor, P.E.4
  • 3
    • 0000014842 scopus 로고
    • The multi-grid method for the diffusion equation with strongly discontinuously coefficients
    • R.E. Alcouffe, A.Brandt, J.E. Dendy, Jr. and J.W. Painter, The multi-grid method for the diffusion equation with strongly discontinuously coefficients, SIAM J. Sci. Stat. Comput. 2, 430-454, (1981).
    • (1981) SIAM J. Sci. Stat. Comput. , vol.2 , pp. 430-454
    • Alcouffe, R.E.1    Brandt, A.2    Dendy J.E., Jr.3    Painter, J.W.4
  • 4
    • 0010815910 scopus 로고
    • Multigrid solution of three-dimensional problems with discontinuous coefficients
    • A. Behie and P. Forsyth, Jr., Multigrid solution of three-dimensional problems with discontinuous coefficients, Appl. Math. Comp. Soc. Petr. Eng. J. 13, 229-240, (1983).
    • (1983) Appl. Math. Comp. Soc. Petr. Eng. J. , vol.13 , pp. 229-240
    • Behie, A.1    Forsyth P., Jr.2
  • 5
    • 0023327657 scopus 로고
    • A multigrid model for steady flow in partially saturated porous media
    • T.J. McKeon and W.-C. Chu, A multigrid model for steady flow in partially saturated porous media, Water Resources Research 23, 542-550, (1987).
    • (1987) Water Resources Research , vol.23 , pp. 542-550
    • McKeon, T.J.1    Chu, W.-C.2
  • 6
    • 0041620912 scopus 로고
    • A parallel multigrid preconditioned conjugate gradient algorithm for groundwater flow simulations
    • Lawrence Livermore National Laboratory, CA, October
    • S.F. Ashby and R.D. Falgout, A parallel multigrid preconditioned conjugate gradient algorithm for groundwater flow simulations, Technical Report UCRL-JC-122359, Lawrence Livermore National Laboratory, CA, (October, 1995).
    • (1995) Technical Report UCRL-JC-122359
    • Ashby, S.F.1    Falgout, R.D.2
  • 7
    • 0004236492 scopus 로고
    • edition, Johns Hopkins University Press, Baltimore, MD
    • nd edition, Johns Hopkins University Press, Baltimore, MD, (1989).
    • (1989) nd
    • Golub, G.H.1    Van Loan, C.F.2
  • 8
    • 0000005482 scopus 로고
    • Bi-CGSTAB: A fast and smoothly converging variant of Bi-CG for the solution of non-symmetric problems
    • H.A. van der Vorst, Bi-CGSTAB: A fast and smoothly converging variant of Bi-CG for the solution of non-symmetric problems, SIAM J. Sci. Stat. Comput. 13, 631-645, (1992).
    • (1992) SIAM J. Sci. Stat. Comput. , vol.13 , pp. 631-645
    • Van Der Vorst, H.A.1
  • 10
    • 84966233568 scopus 로고
    • Multilevel adaptive solutions to boundary-value problems
    • A. Brandt, Multilevel adaptive solutions to boundary-value problems, Math. Comp. 31, 311-329, (1977).
    • (1977) Math. Comp. , vol.31 , pp. 311-329
    • Brandt, A.1
  • 12
    • 0000525721 scopus 로고
    • Multigrid solution of the Poisson-Boltzmann equation
    • M. Holst and F. Saied, Multigrid solution of the Poisson-Boltzmann equation, J. Comp. Chem. 14 (1), 105-113, (1993).
    • (1993) J. Comp. Chem. , vol.14 , Issue.1 , pp. 105-113
    • Holst, M.1    Saied, F.2
  • 13
    • 0028222670 scopus 로고
    • Treatment of electrostatic effects in proteins: Multigridbased Newton iterative method for solution of the full nonlinear Poisson-Boltzmann equation
    • M. Holst, R. Kozack, F. Saied and S. Subramaniam, Treatment of electrostatic effects in proteins: Multigridbased Newton iterative method for solution of the full nonlinear Poisson-Boltzmann equation, Proteins: Structure, Function, and Genetics 18 (3), 231-245, (1994).
    • (1994) Proteins: Structure, Function, and Genetics , vol.18 , Issue.3 , pp. 231-245
    • Holst, M.1    Kozack, R.2    Saied, F.3    Subramaniam, S.4
  • 14
    • 0003365609 scopus 로고
    • Groundwater modeling by the finite element method
    • American Geophysical Union, Washington, DC
    • J.D. Istok, Groundwater Modeling by the Finite Element Method, Water Resources Monograph 13, American Geophysical Union, Washington, DC, (1989).
    • (1989) Water Resources Monograph 13 , vol.13
    • Istok, J.D.1
  • 16
    • 0009250643 scopus 로고    scopus 로고
    • Multigrid and Krylov solvers for large scale finite element groundwater flow simulations on distributed memory parallel platforms
    • Oak Ridge National Laboratory, TN, July
    • G. Mahinthakumar and F. Saied, Multigrid and Krylov solvers for large scale finite element groundwater flow simulations on distributed memory parallel platforms, Technical Report ORNL/TM-13441, Oak Ridge National Laboratory, TN, (July 1997) (also available from http://www.ccs.ornl.gov/staff/kumar /solver.html).
    • (1997) Technical Report ORNL/TM-13441
    • Mahinthakumar, G.1    Saied, F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.