A UNIFIED PHYSICAL PRESENTATION OF MIXED, MIXED-HYBRID FINITE-ELEMENTS AND STANDARD FINITE-DIFFERENCE APPROXIMATIONS FOR THE DETERMINATION OF VELOCITIES IN WATERFLOW PROBLEMS

[1] Arnold, Brezzi, Mixed and nonconforming finite element methods: implementation, postprocessing and error estimates, M2AN, 19, pp. 7-32, (1985)

[2] Bossavit, Mixed tinite elements and the complex of whitney forms, MAFELAP 87, London 1987, (1987)

[3] Brezzi, Douglas, Marini, Two families of mixed finite elements for second order elliptic problems, Numer. Math., 47, pp. 217-235, (1985)

[4] Chavent, Cohen, Dupuy, Jaffre, Ribera, Simulation of two dimensional waterflooding using mixed finite elements, SPE J., 24, pp. 382-390, (1984)

[5] Chavent, Cohen, Jaffre, Discontinuous upwinding and mixed finite elements, for two-phase flows in reservoir simulation, Comp. Meths. Appl. Mech. Eng., 47, pp. 93-118, (1984)

[6] Chavent, Jaffre, Mathematical Models and Finite Elements for Reservoir Simulation, Studies in Mathematics and its Applications, 17, (1986)

[7] Chavent, Jaffre, Eymard, Guerillot, Weill, Discontinuous and mixed finite elements for two-phase incompressible flow, paper SPE 16018 presented at the 9th SPE Symposium on Reservoir Simulation, (1987)

[8] Douglas, Ewing, Wheeler, The approximation of the pressure by a mixed method in the simulation of miscible displacement, R.A.I.R.O. Anal. Numer, 17, pp. 17-33, (1983)

[9] Douglas, Roberts, Global estimates for mixed methods for second order elliptic equations, Mathematics of Computation, 444, pp. 39-52, (1985)

[10] Fraejis De Veubeke, Diffusive equilibrium models in the finite element method, Stress Analysis, pp. 145-197, (1965)

[1] Arnold, Brezzi, Mixed and nonconforming finite element methods: implementation, postprocessing and error estimates, M2AN, 19, pp. 7-32, (1985)

[2] Bossavit, Mixed tinite elements and the complex of whitney forms, MAFELAP 87, London 1987, (1987)

[3] Brezzi, Douglas, Marini, Two families of mixed finite elements for second order elliptic problems, Numer. Math., 47, pp. 217-235, (1985)

[4] Chavent, Cohen, Dupuy, Jaffre, Ribera, Simulation of two dimensional waterflooding using mixed finite elements, SPE J., 24, pp. 382-390, (1984)

[5] Chavent, Cohen, Jaffre, Discontinuous upwinding and mixed finite elements, for two-phase flows in reservoir simulation, Comp. Meths. Appl. Mech. Eng., 47, pp. 93-118, (1984)

[6] Chavent, Jaffre, Mathematical Models and Finite Elements for Reservoir Simulation, Studies in Mathematics and its Applications, 17, (1986)

[7] Chavent, Jaffre, Eymard, Guerillot, Weill, Discontinuous and mixed finite elements for two-phase incompressible flow, paper SPE 16018 presented at the 9th SPE Symposium on Reservoir Simulation, (1987)

[8] Douglas, Ewing, Wheeler, The approximation of the pressure by a mixed method in the simulation of miscible displacement, R.A.I.R.O. Anal. Numer, 17, pp. 17-33, (1983)

[9] Douglas, Roberts, Global estimates for mixed methods for second order elliptic equations, Mathematics of Computation, 444, pp. 39-52, (1985)

[10] Fraejis De Veubeke, Diffusive equilibrium models in the finite element method, Stress Analysis, pp. 145-197, (1965)