يعرض 1 - 1 نتائج من 1 نتيجة بحث عن '"keyword:air-water system"', وقت الاستعلام: 0.38s تنقيح النتائج
  1. 1
    Academic Journal

    وصف الملف: application/pdf

    Relation: mr:MR1332314; zbl:Zbl 0847.76030; reference:[1] J. Bear: Dynamics of Fluids in Porous Media.Dover, New York, 1972.; reference:[2] F. Brezzi, J. Douglas, Jr., R. Durán, and M. Fortin: Mixed finite elements for second order elliptic problems in three variables.Numer. Math. 51 (1987), 237–250. MR 0890035, 10.1007/BF01396752; reference:[3] F. Brezzi, J. Douglas, Jr., M. Fortin, and L. Marini: Efficient rectangular mixed finite elements in two and three space variables.RAIRO Modèl. Math. Anal. Numér 21 (1987), 581–604. MR 0921828, 10.1051/m2an/1987210405811; reference:[4] F. Brezzi, J. Douglas, Jr., and L. Marini: Two families of mixed finite elements for second order elliptic problems.Numer. Math. 47 (1985), 217–235. MR 0799685, 10.1007/BF01389710; reference:[5] M. Celia and P. Binning: Two-phase unsaturated flow: one dimensional simulation and air phase velocities.Water Resources Research 28 (1992), 2819–2828.; reference:[6] G. Chavent and J. Jaffré: Mathematical Models and Finite Elements for Reservoir Simulation.North-Holland, Amsterdam, 1978.; reference:[7] Z. Chen: Analysis of mixed methods using conforming and nonconforming finite element methods.RAIRO Modèl. Math. Anal. Numér. 27 (1993), 9–34. Zbl 0784.65075, MR 1204626, 10.1051/m2an/1993270100091; reference:[8] Z. Chen: Finite element methods for the black oil model in petroleum reservoirs.IMA Preprint Series $\#$ 1238, submitted to Math. Comp.; reference:[9] Z. Chen and J. Douglas, Jr.: Approximation of coefficients in hybrid and mixed methods for nonlinear parabolic problems.Mat. Aplic. Comp. 10 (1991), 137–160. MR 1172090; reference:[10] Z. Chen and J. Douglas, Jr.: Prismatic mixed finite elements for second order elliptic problems.Calcolo 26 (1989), 135–148. MR 1083050, 10.1007/BF02575725; reference:[11] Z. Chen, R. Ewing, and M. Espedal: Multiphase flow simulation with various boundary conditions.Numerical Methods in Water Resources, Vol. 2, A. Peters, et als. (eds.), Kluwer Academic Publishers, Netherlands, 1994, pp. 925–932.; reference:[12] S. Chou and Q. Li: Mixed finite element methods for compressible miscible displacement in porous media.Math. Comp. 57 (1991), 507–527. MR 1094942, 10.1090/S0025-5718-1991-1094942-7; reference:[13] P. Ciarlet: The Finite Element Method for Elliptic Problems.North-Holland, Amsterdam, 1978. Zbl 0383.65058, MR 0520174; reference:[14] J. Douglas, Jr.: Finite difference methods for two-phase incompressible flow in porous media.SIAM J. Numer. Anal. 20 (1983), 681–696. Zbl 0519.76107, MR 0708451, 10.1137/0720046; reference:[15] J. Douglas, Jr. and J. Roberts: Numerical methods for a model for compressible miscible displacement in porous media.Math. Comp. 41 (1983), 441–459. MR 0717695, 10.1090/S0025-5718-1983-0717695-3; reference:[16] J. Douglas, Jr. and J. Roberts: Global estimates for mixed methods for second order elliptic problems.Math. Comp. 45 (1985), 39–52. MR 0771029; reference:[17] N. S. Espedal and R. E. Ewing: Characteristic Petrov-Galerkin subdomain methods for two phase immiscible flow.Comput. Methods Appl. Mech. Eng. 64 (1987), 113–135. MR 0912516, 10.1016/0045-7825(87)90036-3; reference:[18] R. Ewing and M. Wheeler: Galerkin methods for miscible displacement problems with point sources and sinks-unit mobility ratio case.Mathematical Methods in Energy Research, K. I. Gross, ed., Society for Industrial and Applied Mathematics, Philadelphia, 1984, pp. 40–58. MR 0790511; reference:[19] K. Fadimba and R. Sharpley: A priori estimates and regularization for a class of porous medium equations.Preprint, submitted to Nonlinear World. MR 1376946; reference:[20] K. Fadimba and R. Sharpley: Galerkin finite element method for a class of porous medium equations.Preprint. MR 2025071; reference:[21] D. Hillel: Fundamentals of Soil Physics.Academic Press, San Diego, California, 1980.; reference:[22] C. Johnson and V. Thomée: Error estimates for some mixed finite element methods for parabolic type problems.RAIRO Anal. Numér. 15 (1981), 41–78. MR 0610597, 10.1051/m2an/1981150100411; reference:[23] H. J. Morel-Seytoux: Two-phase flows in porous media.Advances in Hydroscience 9 (1973), 119–202. 10.1016/B978-0-12-021809-7.50009-2; reference:[24] J. C. Nedelec: Mixed finite elements in $\Re ^3$.Numer. Math. 35 (1980), 315–341. MR 0592160, 10.1007/BF01396415; reference:[25] J. Nitsche: $L_\infty $-Convergence of Finite Element Approximation.Proc. Second Conference on Finite Elements, Rennes, France, 1975. MR 0568857; reference:[26] D. W. Peaceman: Fundamentals of Numerical Reservoir Simulation.Elsevier, New York, 1977.; reference:[27] O. Pironneau: On the transport-diffusion algorithm and its application to the Navier-Stokes equations.Numer. Math. 38 (1982), 309–332. MR 0654100, 10.1007/BF01396435; reference:[28] P.A. Raviart and J.M. Thomas: A mixed finite element method for second order elliptic problems.Lecture Notes in Math. 606, Springer, Berlin, 1977, pp. 292–315. MR 0483555; reference:[29] M. Rose: Numerical Methods for flow through porous media I.Math. Comp. 40 (1983), 437–467. MR 0689465, 10.1090/S0025-5718-1983-0689465-6; reference:[30] A. Schatz, V. Thomée, and L. Wahlbin: Maximum norm stability and error estimates in parabolic finite element equations.Comm. Pure Appl. Math. 33 (1980), 265–304. MR 0562737, 10.1002/cpa.3160330305; reference:[31] R. Scott: Optimal $L^\infty $ estimates for the finite element method on irregular meshes.Math. Comp. 30 (1976), 681–697. MR 0436617; reference:[32] D. Smylie: A near optimal order approximation to a class of two sided nonlinear degenerate parabolic partial differential equations.Ph. D. Thesis, University of Wyoming, 1989.; reference:[32] M. F. Wheeler: A priori $L_2$ error estimates for Galerkin approximation to parabolic partial differential equations.SIAM J. Numer. Anal. 10 (1973), 723–759. MR 0351124, 10.1137/0710062