메뉴 건너뛰기




Volumn 20, Issue 6, 1999, Pages 2160-2194

ELLAM scheme for advection-diffusion equations in two dimensions

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; COMPUTER SIMULATION; FINITE ELEMENT METHOD; GALERKIN METHODS; INTEGRAL EQUATIONS; LINEAR EQUATIONS; MATRIX ALGEBRA; PARTIAL DIFFERENTIAL EQUATIONS; TENSORS; VARIATIONAL TECHNIQUES;

EID: 0033297107     PISSN: 10648275     EISSN: None     Source Type: None    
DOI: 10.1137/S1064827596309396     Document Type: Article
Times cited : (109)

References (78)
  • 1
    • 0027039209 scopus 로고
    • A characteristic-mixed method for contaminant transport and miscible displacement
    • T. Russell et al., eds., Computational Mechanics Publications and Elsevier Applied Science, London, New York
    • T. ARBOGAST, A. CHILAKAPATI, AND M. F. WHEELER, A characteristic-mixed method for contaminant transport and miscible displacement, in Computational Methods in Water Resources IX, Vol. I, Numerical Methods in Water Resources, T. Russell et al., eds., Computational Mechanics Publications and Elsevier Applied Science, London, New York, 1992, pp. 77-84.
    • (1992) Computational Methods in Water Resources IX, Vol. I, Numerical Methods in Water Resources , vol.1 , pp. 77-84
    • Arbogast, T.1    Chilakapati, A.2    Wheeler, M.F.3
  • 2
    • 0000439432 scopus 로고
    • A characteristics-mixed finite element method for advection-dominated transport problems
    • T. ARBOGAST AND M. F. WHEELER, A characteristics-mixed finite element method for advection-dominated transport problems, SIAM J. Numer. Anal., 32 (1995), pp. 404-424.
    • (1995) SIAM J. Numer. Anal. , vol.32 , pp. 404-424
    • Arbogast, T.1    Wheeler, M.F.2
  • 3
    • 0001626911 scopus 로고
    • Some upwinding techniques for finite element approximations of convection diffusion equations
    • R. BANK, J. BÜRGER, W. FICHTNER, AND R. SMITH, Some upwinding techniques for finite element approximations of convection diffusion equations, Numer. Math., 58 (1990), pp. 185-202.
    • (1990) Numer. Math. , vol.58 , pp. 185-202
    • Bank, R.1    Bürger, J.2    Fichtner, W.3    Smith, R.4
  • 5
    • 0021494519 scopus 로고
    • Approximate symmetrization and Petrov-Galerkin methods for diffusion-convection problems
    • J. W. BARRETT AND K. W. MORTON, Approximate symmetrization and Petrov-Galerkin methods for diffusion-convection problems, Comput. Methods Appl. Mech. Engrg., 45 (1984), pp. 97-122.
    • (1984) Comput. Methods Appl. Mech. Engrg. , vol.45 , pp. 97-122
    • Barrett, J.W.1    Morton, K.W.2
  • 6
    • 0000647401 scopus 로고
    • Quelques difficulties des modeles numeriques en hydraulique
    • J. P. BENQUE AND J. RONAT, Quelques difficulties des modeles numeriques en hydraulique, Comput. Methods Appl. Sci. Engrg., (1982), pp. 471-494.
    • (1982) Comput. Methods Appl. Sci. Engrg. , pp. 471-494
    • Benque, J.P.1    Ronat, J.2
  • 8
    • 0029656428 scopus 로고    scopus 로고
    • A finite volume Eulerian-Lagrangian localized adjoint method for solution of the contaminant transport equations in two-dimensional multi-phase flow systems
    • P. J. BINNING AND M. A. CELIA, A finite volume Eulerian-Lagrangian localized adjoint method for solution of the contaminant transport equations in two-dimensional multi-phase flow systems, Water Resources Res., 32 (1996), pp. 103-114.
    • (1996) Water Resources Res. , vol.32 , pp. 103-114
    • Binning, P.J.1    Celia, M.A.2
  • 9
    • 0026259997 scopus 로고
    • An improved cubic Petrov-Galerkin method for simulation of transient advection-diffusion processes in rectangularly decomposable domains
    • E. T. BOULOUTAS AND M. A. CELIA, An improved cubic Petrov-Galerkin method for simulation of transient advection-diffusion processes in rectangularly decomposable domains, Comput. Methods Appl. Mech. Engrg., 91 (1991), pp. 289-308.
    • (1991) Comput. Methods Appl. Mech. Engrg. , vol.91 , pp. 289-308
    • Bouloutas, E.T.1    Celia, M.A.2
  • 10
    • 0019607241 scopus 로고
    • Streamline, upwind Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
    • A. BROOKS AND T. J. R. HUGHES, Streamline, upwind Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations, Comput. Methods Appl. Mech. Engrg., 32 (1982), pp. 199-259.
    • (1982) Comput. Methods Appl. Mech. Engrg. , vol.32 , pp. 199-259
    • Brooks, A.1    Hughes, T.J.R.2
  • 11
    • 0000337344 scopus 로고
    • Eulerian-Lagrangian localized adjoint methods for contaminant transport simulations
    • contaminant transport simulations, in Computational Methods in Water Resources X, Vol. I, Peters et al., eds., Kluwer Academic Publishers, Dordrecht, Netherlands
    • M. A. CELIA, Eulerian-Lagrangian localized adjoint methods for contaminant transport simulations, in Computational Methods in Water Resources X, Vol. I, Peters et al., eds., Water Science and Technology Library, Vol. 12, Kluwer Academic Publishers, Dordrecht, Netherlands, 1994, pp. 207-216.
    • (1994) Water Science and Technology Library , vol.12 , pp. 207-216
    • Celia, M.A.1
  • 12
    • 0001730925 scopus 로고
    • A comparison of ELLAM formulations for simulation of reactive transport in groundwater
    • Wang, ed., University of Mississippi Press, Jackson, MS
    • M. A. CELIA AND L. A. FERRAND, A comparison of ELLAM formulations for simulation of reactive transport in groundwater, Advances in Hydro-Science and Engineering, 1(B), Wang, ed., University of Mississippi Press, Jackson, MS, 1993, pp. 1829-1836.
    • (1993) Advances in Hydro-science and Engineering , vol.1 , Issue.B , pp. 1829-1836
    • Celia, M.A.1    Ferrand, L.A.2
  • 14
    • 0025639748 scopus 로고
    • An Eulerian-Lagrangian localized adjoint method for the advection-diffusion equation
    • M. A. CELIA, T. F. RUSSELL, I. HERRERA, AND R. E. EWING, An Eulerian-Lagrangian localized adjoint method for the advection-diffusion equation, Adv. Water Resources, 13 (1990), pp. 187-206.
    • (1990) Adv. Water Resources , vol.13 , pp. 187-206
    • Celia, M.A.1    Russell, T.F.2    Herrera, I.3    Ewing, R.E.4
  • 15
    • 0025536858 scopus 로고
    • An Eulerian-Lagrangian localized adjoint method for reactive transport in groundwater
    • G. Gambolati et al., eds., Springer-Verlag, Berlin
    • M. A. CELIA AND S. ZISMAN, An Eulerian-Lagrangian localized adjoint method for reactive transport in groundwater, in Conference on Computational Methods in Water Resources VIII, Vol. I., G. Gambolati et al., eds., Springer-Verlag, Berlin, 1990, pp. 383-392.
    • (1990) Conference on Computational Methods in Water Resources VIII , vol.1 , pp. 383-392
    • Celia, M.A.1    Zisman, S.2
  • 16
    • 0017220171 scopus 로고
    • Finite element methods for second order differential equations with significant first derivatives
    • I. CHRISTIE, D. F. GRIFFITHS, A. R. MITCHELL, AND O. C. ZIENKIEWICZ, Finite element methods for second order differential equations with significant first derivatives, Internat. J. Numer. Engrg., 10 (1976), pp. 1389-1396.
    • (1976) Internat. J. Numer. Engrg. , vol.10 , pp. 1389-1396
    • Christie, I.1    Griffiths, D.F.2    Mitchell, A.R.3    Zienkiewicz, O.C.4
  • 17
    • 0000480805 scopus 로고
    • A direct Eulerian MUSCL scheme for gas dynamics
    • P. COLELLA, A direct Eulerian MUSCL scheme for gas dynamics, SIAM J. Sci. Statist. Comput., 6 (1985), pp. 104-117.
    • (1985) SIAM J. Sci. Statist. Comput. , vol.6 , pp. 104-117
    • Colella, P.1
  • 18
    • 0026293366 scopus 로고
    • A new total variation diminishing scheme for the solution of advective-dominant solute transport
    • R. A. COX AND T. NISHIKAWA, A new total variation diminishing scheme for the solution of advective-dominant solute transport, Water Resources Res., 27 (1991), pp. 2645-2654.
    • (1991) Water Resources Res. , vol.27 , pp. 2645-2654
    • Cox, R.A.1    Nishikawa, T.2
  • 20
    • 0029294340 scopus 로고
    • Eulerian-Lagrangian localized adjoint methods for a nonlinear convection-diffusion equation
    • H. K. DAHLE, R. E. EWING, AND T. F. RUSSELL, Eulerian-Lagrangian localized adjoint methods for a nonlinear convection-diffusion equation, Comput. Methods Appl. Mech. Engrg., 122 (1995), pp. 223-250.
    • (1995) Comput. Methods Appl. Mech. Engrg. , vol.122 , pp. 223-250
    • Dahle, H.K.1    Ewing, R.E.2    Russell, T.F.3
  • 21
    • 0026239420 scopus 로고
    • Godunov-mixed methods for advective flow problems in one space dimension
    • C. N. DAWSON, Godunov-mixed methods for advective flow problems in one space dimension, SIAM J. Numer. Anal., 28 (1991), pp. 1282-1309.
    • (1991) SIAM J. Numer. Anal. , vol.28 , pp. 1282-1309
    • Dawson, C.N.1
  • 22
    • 0022046885 scopus 로고
    • An adaptive characteristic Petrov-Galerkin finite element method for convection-dominated linear and nonlinear parabolic problems in two space variables
    • L. DEMKOWITZ AND J. T. ODEN, An adaptive characteristic Petrov-Galerkin finite element method for convection-dominated linear and nonlinear parabolic problems in two space variables, Comput. Methods Appl. Mech. Engrg., 55 (1986), pp. 63-87.
    • (1986) Comput. Methods Appl. Mech. Engrg. , vol.55 , pp. 63-87
    • Demkowitz, L.1    Oden, J.T.2
  • 23
    • 0001235787 scopus 로고
    • Numerical methods for convection-dominated diffusion problems based on combining the method of characteristics with finite element or finite difference procedures
    • J. DOUGLAS, JR., AND T. F. RUSSELL, Numerical methods for convection-dominated diffusion problems based on combining the method of characteristics with finite element or finite difference procedures, SIAM J. Numer. Anal., 19 (1982), pp. 871-885.
    • (1982) SIAM J. Numer. Anal. , vol.19 , pp. 871-885
    • Douglas J., Jr.1    Russell, T.F.2
  • 24
    • 84968481723 scopus 로고
    • Adaptive streamline diffusion finite element methods for stationary convection-diffusion problems
    • K. ERIKSSON AND C. JOHNSON, Adaptive streamline diffusion finite element methods for stationary convection-diffusion problems, J. Math. Comp., 60 (1993), pp. 167-188.
    • (1993) J. Math. Comp. , vol.60 , pp. 167-188
    • Eriksson, K.1    Johnson, C.2
  • 25
    • 0022797744 scopus 로고
    • Characteristic Petrov-Galerkin subdomain methods for two-phase immiscible flow
    • M. S. ESPEDAL AND R. E. EWING, Characteristic Petrov-Galerkin subdomain methods for two-phase immiscible flow, Comput. Methods Appl. Mech. Engrg., 64 (1987), pp. 113-135.
    • (1987) Comput. Methods Appl. Mech. Engrg. , vol.64 , pp. 113-135
    • Espedal, M.S.1    Ewing, R.E.2
  • 26
    • 0011994807 scopus 로고
    • The mathematics of reservoir simulation
    • SIAM, Philadelphia, PA
    • R. E. EWING, ED., The Mathematics of Reservoir Simulation, Frontiers in Appl. Math. 1, SIAM, Philadelphia, PA, 1984.
    • (1984) Frontiers in Appl. Math. , vol.1
    • Ewing, R.E.1
  • 27
    • 0000741313 scopus 로고
    • Operator splitting and Eulerian-Lagrangian localized adjoint methods for multi-phase flow
    • Academic Press, London
    • R. E. EWING, Operator splitting and Eulerian-Lagrangian localized adjoint methods for multi-phase flow, in The Mathematics of Finite Elements and Applications VII, Academic Press, London, 1991, pp. 215-232.
    • (1991) The Mathematics of Finite Elements and Applications , vol.7 , pp. 215-232
    • Ewing, R.E.1
  • 29
    • 0005589283 scopus 로고
    • Eulerian-Lagrangian localized adjoint methods for linear advection equations
    • Springer International, Berlin
    • R. E. EWING AND H. WANG, Eulerian-Lagrangian Localized Adjoint Methods for Linear Advection Equations, Comput. Mech. '91. Springer International, Berlin, 1991, pp. 245-250.
    • (1991) Comput. Mech. '91 , pp. 245-250
    • Ewing, R.E.1    Wang, H.2
  • 30
    • 0027306971 scopus 로고
    • Eulerian-Lagrangian localized adjoint methods for linear advection or advection-reaction equations and their convergence analysis
    • R. E. EWING AND H. WANG, Eulerian-Lagrangian localized adjoint methods for linear advection or advection-reaction equations and their convergence analysis, Comput. Mech., 12 (1993), pp. 97-121.
    • (1993) Comput. Mech. , vol.12 , pp. 97-121
    • Ewing, R.E.1    Wang, H.2
  • 31
    • 0042173256 scopus 로고
    • An Eulerian-Lagrangian localized adjoint method for variable-coefficient advection-reaction problems
    • Wang, ed., University of Mississippi Press, Jackson, MS
    • R. E. EWING AND H. WANG, An Eulerian-Lagrangian localized adjoint method for variable-coefficient advection-reaction problems, in Advances in Hydro-Science and Engineering, 1(B), Wang, ed., University of Mississippi Press, Jackson, MS, 1993, pp. 2010-2015.
    • (1993) Advances in Hydro-Science and Engineering , vol.1 , Issue.B , pp. 2010-2015
    • Ewing, R.E.1    Wang, H.2
  • 32
    • 0012086688 scopus 로고
    • An Eulerian-Lagrangian localized adjoint method with exponential-along-characteristic test functions for variable-coefficient advective-diffusive-reactive equations
    • U. Choi, D. Kwak, J. Yim, eds., Taejon, Korea
    • R. E. EWING AND H. WANG, An Eulerian-Lagrangian localized adjoint method with exponential-along-characteristic test functions for variable-coefficient advective-diffusive-reactive equations, in Proceedings of KAIST Mathematical Workshop, Analysis and Geometry, U. Choi, D. Kwak, J. Yim, eds., Taejon, Korea, 8 (1993), pp. 77-91.
    • (1993) Proceedings of KAIST Mathematical Workshop, Analysis and Geometry , vol.8 , pp. 77-91
    • Ewing, R.E.1    Wang, H.2
  • 33
    • 0005350826 scopus 로고
    • Eulerian-Lagrangian localized adjoint methods for variable-coefficient advective-diffusive-reactive equations in groundwater contaminant transport
    • Gomez and Hennart, eds., Kluwer Academic Publishers, Dordrecht, Netherlands
    • R. E. EWING AND H. WANG, Eulerian-Lagrangian localized adjoint methods for variable-coefficient advective-diffusive-reactive equations in groundwater contaminant transport, in Advances in Optimization and Numerical Analysis, Mathematics and Its Applications, Vol. 275, Gomez and Hennart, eds., Kluwer Academic Publishers, Dordrecht, Netherlands, 1994, pp. 185-205.
    • (1994) Advances in Optimization and Numerical Analysis, Mathematics and Its Applications , vol.275 , pp. 185-205
    • Ewing, R.E.1    Wang, H.2
  • 34
    • 0000703559 scopus 로고    scopus 로고
    • An optimal-order estimate for Eulerian-Lagrangian localized adjoint methods for variable-coefficient advection-reaction problems
    • R. E. EWING AND H. WANG, An optimal-order estimate for Eulerian-Lagrangian localized adjoint methods for variable-coefficient advection-reaction problems, SIAM J. Numer. Anal., 33 (1996), pp. 318-348.
    • (1996) SIAM J. Numer. Anal. , vol.33 , pp. 318-348
    • Ewing, R.E.1    Wang, H.2
  • 35
    • 0026883589 scopus 로고
    • Local error estimates for a finite element method for hyperbolic and convection-diffusion equations
    • R. S. FALK AND G. R. RICHTER, Local error estimates for a finite element method for hyperbolic and convection-diffusion equations, SIAM J. Numer. Anal., 29 (1992), pp. 730-754.
    • (1992) SIAM J. Numer. Anal. , vol.29 , pp. 730-754
    • Falk, R.S.1    Richter, G.R.2
  • 36
    • 0002595969 scopus 로고
    • Numerical calculations of multidimensional miscible displacement by the method of characteristics
    • A. O. GARDER, D. W. PEACEMAN, AND A. L. POZZI, Numerical calculations of multidimensional miscible displacement by the method of characteristics, Soc. Pet. Engrg. J., 4 (1964), pp. 26-36.
    • (1964) Soc. Pet. Engrg. J. , vol.4 , pp. 26-36
    • Garder, A.O.1    Peaceman, D.W.2    Pozzi, A.L.3
  • 37
    • 0026922895 scopus 로고
    • The characteristic streamline diffusion method for the time-independent incompressible Navier-Stokes equations
    • P. HANSBO, The characteristic streamline diffusion method for the time-independent incompressible Navier-Stokes equations, Comput. Methods Appl. Mech. Engrg., 99 (1992), pp. 171-186.
    • (1992) Comput. Methods Appl. Mech. Engrg. , vol.99 , pp. 171-186
    • Hansbo, P.1
  • 38
    • 0025547284 scopus 로고
    • A velocity-pressure streamline diffusion finite element method for the incompressible Navier-Stokes equations
    • P. HANSBO AND A. SZEPESSY, A velocity-pressure streamline diffusion finite element method for the incompressible Navier-Stokes equations, Comput. Methods Appl. Mech. Engrg., 84 (1990), pp. 107-129.
    • (1990) Comput. Methods Appl. Mech. Engrg. , vol.84 , pp. 107-129
    • Hansbo, P.1    Szepessy, A.2
  • 39
    • 33749725182 scopus 로고
    • Uniformly high order accurate essentially non-oscillatory schemes, III
    • A. HARTEN, B. ENGQUIST, S. OSHER, AND S. CHAKRAVARTHY, Uniformly high order accurate essentially non-oscillatory schemes, III, J. Comput. Phys., 71 (1987), pp. 231-241.
    • (1987) J. Comput. Phys. , vol.71 , pp. 231-241
    • Harten, A.1    Engquist, B.2    Osher, S.3    Chakravarthy, S.4
  • 40
    • 0027789834 scopus 로고
    • A finite-volume Eulerian-Lagrangian localized adjoint method for solution of the advection-dispersion equation
    • R. W. HEALY AND T. F. RUSSELL, A finite-volume Eulerian-Lagrangian localized adjoint method for solution of the advection-dispersion equation, Water Resources Res., 29 (1993), pp. 2399-2413.
    • (1993) Water Resources Res. , vol.29 , pp. 2399-2413
    • Healy, R.W.1    Russell, T.F.2
  • 41
    • 0031080235 scopus 로고    scopus 로고
    • Solution of the advection-dispersion equation in two dimensions by a finite-volume Eulerian-Lagrangian localized adjoint method
    • R. W. HEALY AND T. F. RUSSELL, Solution of the advection-dispersion equation in two dimensions by a finite-volume Eulerian-Lagrangian localized adjoint method, Adv. Water Resources, 21 (1998), pp. 11-26.
    • (1998) Adv. Water Resources , vol.21 , pp. 11-26
    • Healy, R.W.1    Russell, T.F.2
  • 43
    • 0022943889 scopus 로고
    • Applications of the method of characteristics in their weak formulation to solving two-dimensional advection-equations on mesh grids
    • C. Taylor, J. Johnson, W. Smith, eds., Pineridge Press, Swansea
    • J. M. HERVOUET, Applications of the method of characteristics in their weak formulation to solving two-dimensional advection-equations on mesh grids, in Computational Techniques for Fluid Flow, Recent Advances in Numerical Methods in Fluids 5, C. Taylor, J. Johnson, W. Smith, eds., Pineridge Press, Swansea, 1986, pp. 149-185.
    • (1986) Computational Techniques for Fluid Flow, Recent Advances in Numerical Methods in Fluids , vol.5 , pp. 149-185
    • Hervouet, J.M.1
  • 45
    • 0022807116 scopus 로고
    • A new finite element formulation for computational fluid dynamics: III. The general streamline operator for multidimensional advective-diffusive systems
    • T. J. R. HUGHES AND M. MALLET, A new finite element formulation for computational fluid dynamics: III. The general streamline operator for multidimensional advective-diffusive systems, Comput. Methods Appl. Mech. Engrg., 58 (1986), pp. 305-328.
    • (1986) Comput. Methods Appl. Mech. Engrg. , vol.58 , pp. 305-328
    • Hughes, T.J.R.1    Mallet, M.2
  • 46
    • 0029405472 scopus 로고
    • Multiscale phenomena: Green functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles, and the origins of stabilized methods
    • T. J. R. HUGHES, Multiscale phenomena: Green functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles, and the origins of stabilized methods, Comput. Methods Appl. Mech. Engrg., 127 (1995), pp. 387-401.
    • (1995) Comput. Methods Appl. Mech. Engrg. , vol.127 , pp. 387-401
    • Hughes, T.J.R.1
  • 47
    • 0000778657 scopus 로고
    • An analysis of some finite element methods for advection-diffusion equations
    • O. Alexsson, L. Frank, and A. van der Sluis, eds., North-Holland, Amsterdam
    • C. JOHNSON AND U. NÄVERT, An analysis of some finite element methods for advection-diffusion equations, in Analytical and Numerical Approaches to Asymptotic Problems in Analysis, O. Alexsson, L. Frank, and A. van der Sluis, eds., North-Holland, Amsterdam, 1981.
    • (1981) Analytical and Numerical Approaches to Asymptotic Problems in Analysis
    • Johnson, C.1    Nävert, U.2
  • 48
    • 84966238599 scopus 로고
    • An analysis of discontinuous Galerkin methods for a scalar hyperbolic equation
    • C. JOHNSON AND J. PITKÄRANTA, An analysis of discontinuous Galerkin methods for a scalar hyperbolic equation, J. Math. Comp., 46 (1986), pp. 1-26.
    • (1986) J. Math. Comp. , vol.46 , pp. 1-26
    • Johnson, C.1    Pitkäranta, J.2
  • 50
    • 84966232205 scopus 로고
    • On the convergence of shock-capturing streamline diffusion finite element methods for hyperbolic conservation laws
    • C. JOHNSON, A. SZEPESSY, AND P. HANSBO, On the convergence of shock-capturing streamline diffusion finite element methods for hyperbolic conservation laws, J. Math. Comp., 54 (1990), pp. 107-129.
    • (1990) J. Math. Comp. , vol.54 , pp. 107-129
    • Johnson, C.1    Szepessy, A.2    Hansbo, P.3
  • 51
    • 84990662772 scopus 로고
    • Adaptive finite element methods for conservation laws based on a posteriori error estimates
    • C. JOHNSON AND A. SZEPESSY, Adaptive finite element methods for conservation laws based on a posteriori error estimates, Comm. Pure Appl. Math., 98 (1995), pp. 199-234.
    • (1995) Comm. Pure Appl. Math. , vol.98 , pp. 199-234
    • Johnson, C.1    Szepessy, A.2
  • 52
    • 0001205207 scopus 로고
    • Stabilized finite element methods for singularly perturbed parabolic problems
    • G. LUBE AND D, WEISS, Stabilized finite element methods for singularly perturbed parabolic problems, Appl. Numer. Math., 17 (1995), pp. 431-459.
    • (1995) Appl. Numer. Math. , vol.17 , pp. 431-459
    • Lube, G.1    Weiss, D.2
  • 53
    • 0028668020 scopus 로고
    • A semianalytical method of path line computation for transient finite-difference groundwater flow models
    • N. Lu, A semianalytical method of path line computation for transient finite-difference groundwater flow models, Water Resources Res., 30 (1994), pp. 2449-2459.
    • (1994) Water Resources Res. , vol.30 , pp. 2449-2459
    • Lu, N.1
  • 55
    • 0001998744 scopus 로고
    • An Eulerian-Lagrangian numerical scheme for the dispersion-convection equation using conjugate space-time grids
    • S. P. NEUMAN, An Eulerian-Lagrangian numerical scheme for the dispersion-convection equation using conjugate space-time grids, J. Comp. Phys., 41 (1981), pp. 270-294.
    • (1981) J. Comp. Phys. , vol.41 , pp. 270-294
    • Neuman, S.P.1
  • 56
    • 0001218391 scopus 로고
    • A numerical technique for calculating the transient position of the saltwater front
    • G. F. PINDER AND H. H. COOPER, A numerical technique for calculating the transient position of the saltwater front, Water Resources Res., (1970), pp. 875-882.
    • (1970) Water Resources Res. , pp. 875-882
    • Pinder, G.F.1    Cooper, H.H.2
  • 57
    • 0001338807 scopus 로고
    • On the transport-diffusion algorithm and its application to the Navier-Stokes equations
    • O. PIRONNEAU, On the transport-diffusion algorithm and its application to the Navier-Stokes equations, Numer. Math., 38 (1982), pp. 309-332.
    • (1982) Numer. Math. , vol.38 , pp. 309-332
    • Pironneau, O.1
  • 58
    • 0024163446 scopus 로고
    • Semianalytical computation of path lines for finite-difference models
    • D. W. POLLOCK, Semianalytical computation of path lines for finite-difference models, Ground Water, 26 (1988), pp. 743-750.
    • (1988) Ground Water , vol.26 , pp. 743-750
    • Pollock, D.W.1
  • 59
    • 84966227504 scopus 로고
    • An optimal-order error estimate for the discontinuous Galerkin method
    • G. R. RICHTER, An optimal-order error estimate for the discontinuous Galerkin method, Math. Comp., 50 (1988), pp. 75-88.
    • (1988) Math. Comp. , vol.50 , pp. 75-88
    • Richter, G.R.1
  • 60
    • 0000117126 scopus 로고
    • Eulerian-Lagrangian localized adjoint methods for advection-dominated problems
    • D. Griffiths and G. Watson, eds., Pitman Res. Notes Math. Ser. 228, Longman Scientific & Technical, Harlow, UK
    • T. F. RUSSELL, Eulerian-Lagrangian localized adjoint methods for advection-dominated problems, in Proceedings of the 13th Dundee Conference on Numerical Analysis, D. Griffiths and G. Watson, eds., Pitman Res. Notes Math. Ser. 228, Longman Scientific & Technical, Harlow, UK, 1990, pp. 206-228.
    • (1990) Proceedings of the 13th Dundee Conference on Numerical Analysis , pp. 206-228
    • Russell, T.F.1
  • 61
    • 0025551715 scopus 로고
    • Eulerian-Lagrangian localized adjoint methods with variable coefficients in multiple dimensions
    • G. Gambolati, ed., Springer-Verlag, Berlin
    • T. F. RUSSELL AND R. V. TRUJILLO, Eulerian-Lagrangian localized adjoint methods with variable coefficients in multiple dimensions, in Computational Methods in Surface Hydrology, G. Gambolati, ed., Springer-Verlag, Berlin, 1990, pp. 357-363.
    • (1990) Computational Methods in Surface Hydrology , pp. 357-363
    • Russell, T.F.1    Trujillo, R.V.2
  • 62
    • 0026302196 scopus 로고
    • Efficient and accurate front tracking for two-dimensional groundwater flow models
    • A. L. SCHAFER-PERINI AND J. L. WILSON, Efficient and accurate front tracking for two-dimensional groundwater flow models, Water Resources Res., 27 (1991), pp. 1471-148.
    • (1991) Water Resources Res. , vol.27 , pp. 1471-2148
    • Schafer-Perini, A.L.1    Wilson, J.L.2
  • 63
    • 45449125925 scopus 로고
    • Efficient implementation of essentially non-oscillatory shock capturing schemes
    • C. SHU AND S. OSHER, Efficient implementation of essentially non-oscillatory shock capturing schemes, J. Comput. Phys., 77 (1988), pp. 439-471.
    • (1988) J. Comput. Phys. , vol.77 , pp. 439-471
    • Shu, C.1    Osher, S.2
  • 64
    • 0030265333 scopus 로고    scopus 로고
    • Eulerian-Lagrangian localized adjoint methods for systems of nonlinear advective-diffusive-reactive equations
    • J. E. VÅG, H. WANG, AND H. K. DAHLE, Eulerian-Lagrangian localized adjoint methods for systems of nonlinear advective-diffusive-reactive equations, Adv. Water Resources, 19 (1996), pp. 297-315.
    • (1996) Adv. Water Resources , vol.19 , pp. 297-315
    • Våg, J.E.1    Wang, H.2    Dahle, H.K.3
  • 65
    • 0002187037 scopus 로고
    • On the relation between the upwind-differencing schemes of Godunov, Engquist-Osher, and Roe
    • B. VAN LEER, On the relation between the upwind-differencing schemes of Godunov, Engquist-Osher, and Roe, SIAM J. Sci. Statist. Comp., 5 (1984), pp. 1-20.
    • (1984) SIAM J. Sci. Statist. Comp. , vol.5 , pp. 1-20
    • Van Leer, B.1
  • 66
    • 0001116183 scopus 로고
    • Finite elements incorporating characteristics for one-dimensional diffusion-convection equation
    • E. VAROGLU AND W. D. L. FINN, Finite elements incorporating characteristics for one-dimensional diffusion-convection equation, J. Comp. Phys., 34 (1980), pp. 371-389.
    • (1980) J. Comp. Phys. , vol.34 , pp. 371-389
    • Varoglu, E.1    Finn, W.D.L.2
  • 68
    • 0027038704 scopus 로고
    • ELLAM for variable-coefficient convection-diffusion problems arising in groundwater applications
    • Computational Mechanics Publications and Elsevier Applied Science, London, New York
    • H. WANG, R. E. EWING, AND T. F. RUSSELL, ELLAM for variable-coefficient convection-diffusion problems arising in groundwater applications, in Computational Methods in Water Resources IX, Vol. I, Numerical Methods in Water Resources, Computational Mechanics Publications and Elsevier Applied Science, London, New York, 1992, pp. 25-31.
    • (1992) Computational Methods in Water Resources IX, Vol. I, Numerical Methods in Water Resources , vol.1 , pp. 25-31
    • Wang, H.1    Ewing, R.E.2    Russell, T.F.3
  • 69
    • 0029412456 scopus 로고
    • Optimal-order convergence rates for ELLAM for reactive transport and contamination in groundwater
    • H. WANG AND R. E. EWING, Optimal-order convergence rates for ELLAM for reactive transport and contamination in groundwater, Numer. Methods Partial Differential Equations, 11 (1995), pp. 1-31.
    • (1995) Numer. Methods Partial Differential Equations , vol.11 , pp. 1-31
    • Wang, H.1    Ewing, R.E.2
  • 70
    • 77957214696 scopus 로고
    • Eulerian-Lagrangian localized methods for convection-diffusion equations and their convergence analysis
    • H. WANG, R. E. EWING, AND T. F. RUSSELL, Eulerian-Lagrangian localized methods for convection-diffusion equations and their convergence analysis, IMA J. Numer. Anal., 15 (1995), pp. 405-459.
    • (1995) IMA J. Numer. Anal. , vol.15 , pp. 405-459
    • Wang, H.1    Ewing, R.E.2    Russell, T.F.3
  • 71
    • 84985379541 scopus 로고
    • Eulerian-Lagrangian localized adjoint method for reactive transport with biodegradation
    • H. WANG, R. E. EWING, AND M. A. CELIA, Eulerian-Lagrangian localized adjoint method for reactive transport with biodegradation. Numer. Methods Partial Differential Equations, 11 (1995), pp. 229-254.
    • (1995) Numer. Methods Partial Differential Equations , vol.11 , pp. 229-254
    • Wang, H.1    Ewing, R.E.2    Celia, M.A.3
  • 72
    • 0029728178 scopus 로고    scopus 로고
    • An ELLAM scheme for advection-diffusion equations in multi-dimensions
    • A. Aldama et al., eds., Computational Mechanics Publications, Southampton, Boston
    • H. WANG, R. C. SHARPLEY, AND S. MAN, An ELLAM scheme for advection-diffusion equations in multi-dimensions, in Computational Methods in Water Resources XI, A. Aldama et al., eds., Computational Mechanics Publications, Southampton, Boston, 1996, pp. 99-106.
    • (1996) Computational Methods in Water Resources , vol.11 , pp. 99-106
    • Wang, H.1    Sharpley, R.C.2    Man, S.3
  • 74
    • 0024656263 scopus 로고
    • Consider higher degree Petrov-Galerkin methods for the solution of the transient convection-diffusion equation
    • J. J. WESTERINK AND D. SHEA, Consider higher degree Petrov-Galerkin methods for the solution of the transient convection-diffusion equation, Internat. J. Numer. Methods Engrg., 28 (1989), pp. 1077-1101.
    • (1989) Internat. J. Numer. Methods Engrg. , vol.28 , pp. 1077-1101
    • Westerink, J.J.1    Shea, D.2
  • 75
    • 0001479662 scopus 로고
    • An operator-splitting method for advection-diffusion-reaction problems
    • J. Whiteman, ed., Academic Press, New York
    • M. F. WHEELER AND C. N. DAWSON, An operator-splitting method for advection-diffusion-reaction problems, MAFELAP Proceedings 6, J. Whiteman, ed., Academic Press, New York, 1988, pp. 463-482.
    • (1988) MAFELAP Proceedings , vol.6 , pp. 463-482
    • Wheeler, M.F.1    Dawson, C.N.2
  • 76
    • 38249010068 scopus 로고
    • A characteristic-mixed method with dynamic finite element space for convection-dominated diffusion problems
    • D. YANG, A characteristic-mixed method with dynamic finite element space for convection-dominated diffusion problems, J. Comput. Appl. Math., 43 (1992), pp. 343-353.
    • (1992) J. Comput. Appl. Math. , vol.43 , pp. 343-353
    • Yang, D.1
  • 78
    • 0013036166 scopus 로고
    • 2-error analysis of the streamline diffusion method for nonstationary convection-diffusion systems
    • 2-error analysis of the streamline diffusion method for nonstationary convection-diffusion systems, Mathematical Modeling and Numerical Analysis, RAIRO, 25 (1995), pp. 577-603.
    • (1995) Mathematical Modeling and Numerical Analysis, RAIRO , vol.25 , pp. 577-603
    • Zhou, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.