@article{M2AN_1983__17_3_249_0, author = {Douglas, Jim Jr. and Ewing, Richard E. and Wheeler, Mary Fanett}, title = {A time-discretization procedure for a mixed finite element approximation of miscible displacement in porous media}, journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique}, volume = {17}, year = {1983}, pages = {249-265}, mrnumber = {702137}, zbl = {0526.76094}, language = {en}, url = {http://dml.mathdoc.fr/item/M2AN_1983__17_3_249_0} }
Douglas, Jim Jr.; Ewing, Richard E.; Wheeler, Mary Fanett. A time-discretization procedure for a mixed finite element approximation of miscible displacement in porous media. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 17 (1983) pp. 249-265. http://gdmltest.u-ga.fr/item/M2AN_1983__17_3_249_0/
1. Effective time-stepping methods for the numerical solution of nonlinear parabolic problems, The Mathematics of Finite Eléments and Applications III, MAFELAP 1978, J. R. Whiteman (éd.), Academic Press, 1979. | MR 559305 | Zbl 0435.65095
,2. A time-stepping method for Galerkin approximations for nonlinear parabolic équations, Numerical Analysis, Dundee 1977, Lecture Notes in Mathematics 630, Springer, 1978. | MR 483542 | Zbl 0381.65058
, and ,3. Incomplete itération for time-stepping a nonlinear parabolic Galerkin method, SIAM J. Numer. Anal., 16, 1979, pp. 503-522. | MR 530483 | Zbl 0411.65064
, and ,4. The approximation of the pressure by a mixed method in the simulation of miscible displacement, RAIRO Analyse numérique, 17, 1983, pp. 17-33. | Numdam | MR 695450 | Zbl 0516.76094
, and ,5. Self-adaptive finite element simulation of miscible displacement, to appear in SIAM J. Scientific and Statistical Computing.
, , and ,6. Efficient time-stepping methods for miscible displacement problems in porous media, SIAM J. Numer. Anal., 19, 1982, pp. 1-67. | MR 646594 | Zbl 0498.76084
and ,7. Galerkin methods for miscible displacement problems in porous media, SIAM J. Numer. Anal., 17, 1980, pp. 351-365. | MR 581482 | Zbl 0458.76092
and ,8. Error estimates for some mixed finite element methods for parabolic problems, RAIRO Analyse numérique, 15, 1981, pp.41-78. | Numdam | MR 610597 | Zbl 0476.65074
and ,9. Improved treatment of dispersion in numerical calculation of multidimensional miscible displacement, oc. Pet. Eng. J. (1966), pp. 213-216.
,10. Fundamentals of Numerical Reservoir Simulation, Elsevier, 1977
,11. A mixed finite element method for 2nd order elliptic problems, Mathematical Aspects of the Finite Element Method, Lecture Notes in Mathematics 606, Springer, 1977. | MR 483555 | Zbl 0362.65089
and ,12. An incompletely iterated characteristic finite element method for a miscible displacement problem, Thesis, University of Chicago, June 1980.
,13. Maximum norm stability and error estimates in parabolic finite element équations, Comm. Pure Appl. Math., 33, 1980, pp. 265-304. | MR 562737 | Zbl 0414.65066
, and ,14. -convergence of saddle-point approximations for second order problems, RAIRO Analyse numérique, 11, 1977, pp. 209-216. | Numdam | MR 448942 | Zbl 0356.35026
,