Continuous-time finite element analysis of multiphase flow in groundwater hydrology
Zhangxin Chen; Magne Espedal; Richard E. Ewing
Applications of Mathematics (1995)
- Volume: 40, Issue: 3, page 203-226
- ISSN: 0862-7940
Access Full Article
topAbstract
topHow to cite
topReferences
top- Dynamics of Fluids in Porous Media, Dover, New York, 1972. (1972)
- 10.1007/BF01396752, Numer. Math. 51 (1987), 237–250. (1987) MR0890035DOI10.1007/BF01396752
- 10.1051/m2an/1987210405811, RAIRO Modèl. Math. Anal. Numér 21 (1987), 581–604. (1987) MR0921828DOI10.1051/m2an/1987210405811
- 10.1007/BF01389710, Numer. Math. 47 (1985), 217–235. (1985) MR0799685DOI10.1007/BF01389710
- Two-phase unsaturated flow: one dimensional simulation and air phase velocities, Water Resources Research 28 (1992), 2819–2828. (1992)
- Mathematical Models and Finite Elements for Reservoir Simulation, North-Holland, Amsterdam, 1978. (1978)
- 10.1051/m2an/1993270100091, RAIRO Modèl. Math. Anal. Numér. 27 (1993), 9–34. (1993) Zbl0784.65075MR1204626DOI10.1051/m2an/1993270100091
- Finite element methods for the black oil model in petroleum reservoirs, IMA Preprint Series 1238, submitted to Math. Comp.
- Approximation of coefficients in hybrid and mixed methods for nonlinear parabolic problems, Mat. Aplic. Comp. 10 (1991), 137–160. (1991) MR1172090
- 10.1007/BF02575725, Calcolo 26 (1989), 135–148. (1989) MR1083050DOI10.1007/BF02575725
- 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. (1994)
- 10.1090/S0025-5718-1991-1094942-7, Math. Comp. 57 (1991), 507–527. (1991) MR1094942DOI10.1090/S0025-5718-1991-1094942-7
- The Finite Element Method for Elliptic Problems, North-Holland, Amsterdam, 1978. (1978) Zbl0383.65058MR0520174
- 10.1137/0720046, SIAM J. Numer. Anal. 20 (1983), 681–696. (1983) Zbl0519.76107MR0708451DOI10.1137/0720046
- 10.1090/S0025-5718-1983-0717695-3, Math. Comp. 41 (1983), 441–459. (1983) MR0717695DOI10.1090/S0025-5718-1983-0717695-3
- Global estimates for mixed methods for second order elliptic problems, Math. Comp. 45 (1985), 39–52. (1985) MR0771029
- 10.1016/0045-7825(87)90036-3, Comput. Methods Appl. Mech. Eng. 64 (1987), 113–135. (1987) MR0912516DOI10.1016/0045-7825(87)90036-3
- 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. (1984) MR0790511
- A priori estimates and regularization for a class of porous medium equations, Preprint, submitted to Nonlinear World. MR1376946
- Galerkin finite element method for a class of porous medium equations, Preprint. MR2025071
- Fundamentals of Soil Physics, Academic Press, San Diego, California, 1980. (1980)
- 10.1051/m2an/1981150100411, RAIRO Anal. Numér. 15 (1981), 41–78. (1981) MR0610597DOI10.1051/m2an/1981150100411
- 10.1016/B978-0-12-021809-7.50009-2, Advances in Hydroscience 9 (1973), 119–202. (1973) DOI10.1016/B978-0-12-021809-7.50009-2
- 10.1007/BF01396415, Numer. Math. 35 (1980), 315–341. (1980) MR0592160DOI10.1007/BF01396415
- -Convergence of Finite Element Approximation, Proc. Second Conference on Finite Elements, Rennes, France, 1975. (1975) MR0568857
- Fundamentals of Numerical Reservoir Simulation, Elsevier, New York, 1977. (1977)
- 10.1007/BF01396435, Numer. Math. 38 (1982), 309–332. (1982) MR0654100DOI10.1007/BF01396435
- A mixed finite element method for second order elliptic problems, Lecture Notes in Math. 606, Springer, Berlin, 1977, pp. 292–315. (1977) MR0483555
- 10.1090/S0025-5718-1983-0689465-6, Math. Comp. 40 (1983), 437–467. (1983) MR0689465DOI10.1090/S0025-5718-1983-0689465-6
- 10.1002/cpa.3160330305, Comm. Pure Appl. Math. 33 (1980), 265–304. (1980) MR0562737DOI10.1002/cpa.3160330305
- Optimal estimates for the finite element method on irregular meshes, Math. Comp. 30 (1976), 681–697. (1976) MR0436617
- A near optimal order approximation to a class of two sided nonlinear degenerate parabolic partial differential equations, Ph. D. Thesis, University of Wyoming, 1989.
- 10.1137/0710062, SIAM J. Numer. Anal. 10 (1973), 723–759. (1973) MR0351124DOI10.1137/0710062