The approximation of the pressure by a mixed method in the simulation of miscible displacement
Jim Jr. Douglas; Richard E. Ewing; Mary Fanett Wheeler
- Volume: 17, Issue: 1, page 17-33
- ISSN: 0764-583X
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topDouglas, Jim Jr., Ewing, Richard E., and Wheeler, Mary Fanett. "The approximation of the pressure by a mixed method in the simulation of miscible displacement." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 17.1 (1983): 17-33. <http://eudml.org/doc/193407>.
@article{Douglas1983,
author = {Douglas, Jim Jr., Ewing, Richard E., Wheeler, Mary Fanett},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {miscible displacement; concentration; pressure; mixed finite element method; standard Galerkin method; optimal order estimates; sources and sinks},
language = {eng},
number = {1},
pages = {17-33},
publisher = {Dunod},
title = {The approximation of the pressure by a mixed method in the simulation of miscible displacement},
url = {http://eudml.org/doc/193407},
volume = {17},
year = {1983},
}
TY - JOUR
AU - Douglas, Jim Jr.
AU - Ewing, Richard E.
AU - Wheeler, Mary Fanett
TI - The approximation of the pressure by a mixed method in the simulation of miscible displacement
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1983
PB - Dunod
VL - 17
IS - 1
SP - 17
EP - 33
LA - eng
KW - miscible displacement; concentration; pressure; mixed finite element method; standard Galerkin method; optimal order estimates; sources and sinks
UR - http://eudml.org/doc/193407
ER -
References
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- 5. J. Jr. DOUGLAS, Simulation of miscible displacement in porous media by a modifiedmethod of characteristics procedure, to appear in the proceedings of the 1981 Dundee Conference on Numerical Analysis. Zbl0476.76100
- 6. R. E. EWING and M. F. WHEELER, Galerkin methods for miscible displacementproblems in poróus media, SIAM J. Numer. Anal. 17 (1980), pp. 351-365. Zbl0458.76092MR581482
- 7. R. E. EWING and M. F. WHEELER, Galerkin methods for miscible displacement problems with point sources and sinks, unit mobility ratio case, to appear. Zbl0551.76079MR790511
- 8. D. W. PEACEMAN, Improved treatment of dispersion in numerical calculation of multidimensional miscible displacement, Soc. Pet. Eng. J. (1966), pp. 213-216.
- 9. D. W. PEACEMAN, Fundamentals of Numerical Reservoir Simulation, Elsevier Publishing Co., 1977.
- 10. P. A. RAVIART and J. M. THOMAS, A mixed finite element method for 2nd order elliptic problems, Mathematical Aspects of the Finite Element Method,Lecture Notes in Mathematics 606, Springer-Verlag, 1977. Zbl0362.65089MR483555
- 11. T. F. RUSSELL, An incompletely iterated characteristic finite element method fora miscible displacement problem, Thesis, University of Chicago, June 1980.
- 12. P. H. SAMMON, Numerical approximations for a miscible displacement process inporous media, to appear. Zbl0608.76084
- 13. J. M. THOMAS, Sur l'analyse numérique des méthodes d'éléments finis hybrideset mixtes, Thèse, Université Pierre et Marie Curie, 1977.
- 14. M.F. WHEELER and B. L. DARLOW, Interior penalty Galerkin methods for miscible displacement problems in porous media, Computational Methods in NonlinearMechanics (J. T. Oden, éd.), North-Holland Publishing Co., 1980. Zbl0444.76081MR576923
Citations in EuDML Documents
top- Jérôme Jaffre, Jean E. Roberts, Upstream weighting and mixed finite elements in the simulation of miscible displacements
- Jim Jr. Douglas, Richard E. Ewing, Mary Fanett Wheeler, A time-discretization procedure for a mixed finite element approximation of miscible displacement in porous media
- Todd Arbogast, On the simulation of incompressible, miscible displacement in a naturally fractured petroleum reservoir
- Yuting Wei, Stabilized finite element methods for miscible displacement in porous media
- Mohamed Mandari, Mohamed Rhoudaf, Ouafa Soualhi, The generalized finite volume SUSHI scheme for the discretization of the peaceman model
- Ricardo G. Durán, Error analysis in , for mixed finite element methods for linear and quasi-linear elliptic problems
- Zhangxin Chen, Expanded mixed finite element methods for linear second-order elliptic problems, I
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