References
- Xue , Y. and Xie , C. 1991 . “ Study on Joint-surface of Saltwater and Freshwater in Seawater Intrusion Problem ” . 43 – 94 . Nanjing : Nanjing University Press .
- Segol , G. , Pinder , G. F. and Gray , W. G. 1975 . A Galerkin finite element technique for calculating the trasient position of the saltwater front . Water Resour. Res. , 11 ( 2 ) : 343 – 347 .
- Huyakorn , P. S. , Anderson , P. S. Mercer , J. W. 1987 . Saltwater intrusion in aquifers:development and testing of a three dimensional finite element model . Water Resour. Res. , 23 ( 2 ) : 293 – 312 .
- Gupta , A. D and Yapa , D. D. 1982 . Saltwater encroachment in an aquifer: A case study . Water Resour, Res. , 18 ( 3 ) : 546 – 556 .
- Douglas , J. Jr. and Russell , T. F. 1982 . 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 ( 5 ) : 781 – 895 .
- Douglas , J. Jr. 1983 . Finite difference methods for two-phase incompressible flow in porous media . SIAM J. Numer. Anal. , 20 ( 4 ) : 681 – 696 .
- Ewing , R. E. , Russell , T. F. and Wheeler , M. F. 1984 . Convergence analysis of an approximation of miscible displacement in porous media by mixed finite elements and a modified method of characteristics . Comp. Meth. Appl. Mech. Eng. , 47 ( 1-2 ) : 73 – 92 .
- Douglas , J. Jr. and Roberts , J. E. 1984 . Numerical method for a model for compressible miscible displacement in porous media . Math. Comp. , 4 ( 164 ) : 441 – 459 .
- Yuan , Y. 1992 . Time stepping along characteristics for the finite element approximation of compressible miscible displacement problem in porous media . Math Number. Sinica , 14 ( 4 ) : 385 – 400 .
- Yuan , Y. 1993 . Finite difference methods for a compressible miscible displacement problem in porous media . Math. Numer. Sinica , 15 ( 1 ) : 16 – 28 .
- Ewing , R. E. 1983 . “ The Mathematics of Reservoir simulation ” . In SIAM Philadelphia
- Douglas , J. Jr. and Yuan , Y. 1986 . “ Numerical simulation. of immiscible flow in porous media based on combining the method of characteristics with mixed finite element procedure ” . In Numerical Simulation in Oil Recovery Edited by: Wheeler , M. F. 119 – 131 . Spring-Verlag, , Minnesota
- Yuan , Y. Characteristic finite difference methods for moving boundary value problem of numerical simulation of oil deposit. 1994 . Science in China, Ser. A , 37 ( 12 ) : 1412 – 1453 .
- Yuan , Y. 1996 . The characteristic mixed finite element method and analysis for three-dimensional moving boundary value problem . Science in China, Ser. A , 39 ( 3 ) : 276 – 288 .
- Yuan , Y. 1999 . Finite difference method and analysis for three-dimensiona1 semiconductor device of heat conduction . Science in China, Ser. A , 39 ( 11 ) : 1140 – 1151 .
- Axelsson , O. and Gustafasson , I. A. 1979 . Modified upwind scheme for convective transport equations and the use of a conjugate gradient method for the solution of non-symmeeic systems of equations . J. Inst. Maths. Applics , 23 ( 1 ) : 321 – 337 .
- Ewing , R. E. , Lazarov , R. D. and Vassllevski , A. T. 1994 . Finite difference scheme for parabolic problems on composite grids with refinement in time and space . SIAM J. Numer. Anal. , 31 ( 6 ) : 1605 – 1622 .
- Lazarov , R. D. , Mishev , I. D. and Vassilevski , P. S. 1996 . Finite volume methd for convection-diffusion problems . SIAM J. Numer. Anal. , 33 ( 1 ) : 31 – 55 .
- Marchuk , G. I. 1990 . “ Splitting and alternating direction methd ” . In Handbook of Numerical Analysis. Paris, Elsevior Science Publishers BV Edited by: Ciarlet , P. G. and Lions , J. L. 197 – 460 .
- Doughs , J. Jr. and Gunn , J. E. 1963 . “ Two order colrect difference logues for the equation of multidimensional heat flow ” . In Math. comp Vol. 1781 , 71 – 80 .
- Douglas , J. Jr. and Gunn , J. E. 1964 . A general fomulation of alternation methods, Part 1. Parabolic and hyperbolic problems . Numer. Math. , 9 ( 5 ) : 428 – 453 .