메뉴 건너뛰기




Volumn 40, Issue 14, 1997, Pages 2653-2664

Parallel finite element laplace transform method for the non-equilibrium groundwater transport equation

Author keywords

Finite element; Groundwater transport; Laplace transformation; Non equilibrium sorption; Parallel algorithm

Indexed keywords

FINITE ELEMENT METHOD; GROUNDWATER; INTEGRODIFFERENTIAL EQUATIONS; MASS TRANSFER; MATHEMATICAL MODELS; PARALLEL ALGORITHMS; PARALLEL PROCESSING SYSTEMS; PARTIAL DIFFERENTIAL EQUATIONS; POROSITY; TESTING;

EID: 0031192433     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(19970730)40:14<2653::AID-NME180>3.0.CO;2-1     Document Type: Article
Times cited : (16)

References (28)
  • 1
    • 0024524756 scopus 로고
    • Sorption nonideality during organic contaminant transport in porous media
    • M. L. Brusseau and P. S. C. Rao, 'Sorption nonideality during organic contaminant transport in porous media',Crit. Rev. Env. Control, 19, 33-99 (1989).
    • (1989) Crit. Rev. Env. Control , vol.19 , pp. 33-99
    • Brusseau, M.L.1    Rao, P.S.C.2
  • 2
    • 0016973021 scopus 로고
    • Mass transfer studies in sorbing porous media: 1. Analytical solutions
    • M. T. van Genuchten and P. J. Wierenga, 'Mass transfer studies in sorbing porous media: 1. Analytical solutions',Soil Sci. Soc. Amer. J., 40, 473-480 (1976).
    • (1976) Soil Sci. Soc. Amer. J. , vol.40 , pp. 473-480
    • Van Genuchten, M.T.1    Wierenga, P.J.2
  • 3
    • 0025227189 scopus 로고
    • The Laplace transform Galerkin technique for efficient time-continuous solution of solute transport in double-porosity media
    • E. A. Sudicky, 'The Laplace transform Galerkin technique for efficient time-continuous solution of solute transport in double-porosity media',Geoderma, 46, 209-232 (1990).
    • (1990) Geoderma , vol.46 , pp. 209-232
    • Sudicky, E.A.1
  • 5
    • 0041175535 scopus 로고
    • Numerical solutions for nonequilibrium solute transport in porous media
    • Tsinghua University Press, Beijing, China
    • G. Gambolati, C. Gallo, C. Paniconi and M. Putti, 'Numerical solutions for nonequilibrium solute transport in porous media',Advances in Hydro-Science and -Engineering, Vol. II, Part B, Tsinghua University Press, Beijing, China, 1995, pp. 1733-1742.
    • (1995) Advances in Hydro-Science and -Engineering , vol.2 , Issue.PART B , pp. 1733-1742
    • Gambolati, G.1    Gallo, C.2    Paniconi, C.3    Putti, M.4
  • 6
    • 0030212977 scopus 로고    scopus 로고
    • Comparison of solution approaches for the two-domain model of nonequilibrium transport in porous media
    • C. Gallo, C. Paniconi and G. Gambolati, 'Comparison of solution approaches for the two-domain model of nonequilibrium transport in porous media',Adv. Water Resources, 19, 241-253 (1996).
    • (1996) Adv. Water Resources , vol.19 , pp. 241-253
    • Gallo, C.1    Paniconi, C.2    Gambolati, G.3
  • 7
    • 84974325009 scopus 로고
    • Domain decomposition algorithms
    • T. F. Chan and T. P. Mathew, 'Domain decomposition algorithms',Acta Numerica, 61-143 (1994).
    • (1994) Acta Numerica , pp. 61-143
    • Chan, T.F.1    Mathew, T.P.2
  • 10
    • 0041175536 scopus 로고
    • Mass transfer analysis in sorbing porous media by an integro-differential approach
    • S. S. Y. Wang (ed.), University, MS, The University of Mississippi
    • G. Gambolati, C. Paniconi and M. Putti, 'Mass transfer analysis in sorbing porous media by an integro-differential approach', in S. S. Y. Wang (ed.), Advances in Hydro-Science and -Engineering, Vol. I, Part B, University, MS, The University of Mississippi, 1993, pp. 1819-1828.
    • (1993) Advances in Hydro-Science and -Engineering , vol.1 , Issue.PART B , pp. 1819-1828
    • Gambolati, G.1    Paniconi, C.2    Putti, M.3
  • 12
    • 0024821775 scopus 로고
    • The Laplace Transorm Galerkin Technique: A time-continuous finite element theory and application to mass transport in groundwater
    • E. A. Sudicky, 'The Laplace Transorm Galerkin Technique: a time-continuous finite element theory and application to mass transport in groundwater',Water Resources Res., 25, 1833-1846 (1989).
    • (1989) Water Resources Res. , vol.25 , pp. 1833-1846
    • Sudicky, E.A.1
  • 13
    • 0024530471 scopus 로고
    • On boundary conditions and point sources in the finite element integration of the transport equation
    • G. Galeati and G. Gambolati, 'On boundary conditions and point sources in the finite element integration of the transport equation',Water Resources Res., 25, 847-856 (1989).
    • (1989) Water Resources Res. , vol.25 , pp. 847-856
    • Galeati, G.1    Gambolati, G.2
  • 14
    • 0006467594 scopus 로고
    • Numerical integration methods for the dual porosity model in sorbing porous media
    • A. Peters, G. Wittum, B. Herrling, U. Meissner, C. A. Brebbia, W. G. Gray and G. F. Pinder (eds.), Kluwer Academic, Dordrecht, Holland
    • G. Gambolati, C. Gallo and C. Paniconi, 'Numerical integration methods for the dual porosity model in sorbing porous media', in A. Peters, G. Wittum, B. Herrling, U. Meissner, C. A. Brebbia, W. G. Gray and G. F. Pinder (eds.), Computational Methods in Water Resources X, Vol. 1, Kluwer Academic, Dordrecht, Holland, 1994, pp. 621-628.
    • (1994) Computational Methods in Water Resources X , vol.1 , pp. 621-628
    • Gambolati, G.1    Gallo, C.2    Paniconi, C.3
  • 15
    • 0016880982 scopus 로고
    • Numerical inversion of Laplace transforms using a Fourier series approximation
    • K. S. Crump, 'Numerical inversion of Laplace transforms using a Fourier series approximation',J. Assoc. Comput. Mach., 23, 89-96 (1976).
    • (1976) J. Assoc. Comput. Mach. , vol.23 , pp. 89-96
    • Crump, K.S.1
  • 16
    • 0001293615 scopus 로고
    • An improved method for numerical inversion of Laplace transforms
    • F. R. de Hoog, J. H. Knight and A. N. Stokes, 'An improved method for numerical inversion of Laplace transforms',SIAM J. Sci. Statist. Comput., 3, 357-366 (1982).
    • (1982) SIAM J. Sci. Statist. Comput. , vol.3 , pp. 357-366
    • De Hoog, F.R.1    Knight, J.H.2    Stokes, A.N.3
  • 19
    • 0001031880 scopus 로고
    • A transpose-free quasi-minimal residual algorithm for non-Hermitian linear systems
    • R. W. Freund, 'A transpose-free quasi-minimal residual algorithm for non-Hermitian linear systems',SIAM J. Sci. Comput., 14, 470-482 (1993).
    • (1993) SIAM J. Sci. Comput. , vol.14 , pp. 470-482
    • Freund, R.W.1
  • 20
    • 0000048673 scopus 로고
    • GMRES: A generalized minimum residual algorithm for solving nonsymmetric linear systems
    • Y. Saad and M. H. Schultz, 'GMRES: A generalized minimum residual algorithm for solving nonsymmetric linear systems',SIAM J. Sci. Statist. Comput., 7, 856-869 (1986).
    • (1986) SIAM J. Sci. Statist. Comput. , vol.7 , pp. 856-869
    • Saad, Y.1    Schultz, M.H.2
  • 21
    • 0000005482 scopus 로고
    • Bi-CGSTAB: A fast and smoothly converging variant of BI-CG for the solution of nonsymmetric linear systems
    • H. A. van der Vorst, 'Bi-CGSTAB: A fast and smoothly converging variant of BI-CG for the solution of nonsymmetric linear systems',SIAM J. Sci. Statist. Comput., 13, 631-644 (1992).
    • (1992) SIAM J. Sci. Statist. Comput. , vol.13 , pp. 631-644
    • Van Der Vorst, H.A.1
  • 22
    • 0002366748 scopus 로고    scopus 로고
    • Projection methods for the finite element solution of the dual-porosity model in variably saturated porous media
    • M. M. Aral (ed.), NATO ASI Series 2: Environment, Kluwer Academic, Dordrecht, Holland
    • G. Gambolati, M. Putti and C. Paniconi, 'Projection methods for the finite element solution of the dual-porosity model in variably saturated porous media', in M. M. Aral (ed.), Advances in Groundwater Pollution Control and Remediation, NATO ASI Series 2: Environment, Kluwer Academic, Dordrecht, Holland, 1996, Vol. 9, pp. 97-125.
    • (1996) Advances in Groundwater Pollution Control and Remediation , vol.9 , pp. 97-125
    • Gambolati, G.1    Putti, M.2    Paniconi, C.3
  • 23
    • 0027842714 scopus 로고
    • Non-symmetric CG-like schemes and the finite element solution of the advection-dispersion equation
    • A. Peters, 'Non-symmetric CG-like schemes and the finite element solution of the advection-dispersion equation',Int. j. numer. methods fluids, 17, 955-974 (1993).
    • (1993) Int. J. Numer. Methods Fluids , vol.17 , pp. 955-974
    • Peters, A.1
  • 24
    • 0001566120 scopus 로고
    • Krylov methods in the finite element solution of groundwater transport problems
    • A. Peters, G. Wittum, B. Herrling, U. Meissner, C. A. Brebbia, W. G. Gray and G. F. Pinder (eds.), Kluwer Academic, Dordrecht, Holland
    • G. Pini and M. Putti, 'Krylov methods in the finite element solution of groundwater transport problems', in A. Peters, G. Wittum, B. Herrling, U. Meissner, C. A. Brebbia, W. G. Gray and G. F. Pinder (eds.), Computational Methods in Water Resources X, Vol. 1, Kluwer Academic, Dordrecht, Holland, 1994, pp. 1431-1438.
    • (1994) Computational Methods in Water Resources X , vol.1 , pp. 1431-1438
    • Pini, G.1    Putti, M.2
  • 25
    • 33749420683 scopus 로고
    • Transpose-free Lanczops-type schemes on transputer network
    • G. Pini, 'Transpose-free Lanczops-type schemes on transputer network',Parallel Alg. Appl. 3, 249-260 (1994).
    • (1994) Parallel Alg. Appl. , vol.3 , pp. 249-260
    • Pini, G.1
  • 27
    • 0004261002 scopus 로고
    • Wiley Series in Parallel Computing, Wiley, New York
    • E. Gelenbe, Multiprocessor Performance, Wiley Series in Parallel Computing, Wiley, New York, 1989.
    • (1989) Multiprocessor Performance
    • Gelenbe, E.1
  • 28
    • 0004108595 scopus 로고
    • TRIPM, a two-dimensional finite element model for the simultaneous transport of water and reacting solutes through saturated and unsaturated porous media
    • Off. of Nuclear Water Isolation, Columbus, OH
    • A. B. Gureghian, 'TRIPM, a two-dimensional finite element model for the simultaneous transport of water and reacting solutes through saturated and unsaturated porous media',Technical Report ONWI-465, Off. of Nuclear Water Isolation, Columbus, OH, 1983.
    • (1983) Technical Report ONWI-465
    • Gureghian, A.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.