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Douglas, Jim jun.; Ewing, Richard E.; Wheeler, Mary Fanett

The approximation of the pressure by a mixed method in the simulation of miscible displacement. (English) Zbl 0516.76094

RAIRO, Anal. Numér. 17, 17-33 (1983).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0516.76094

Cited in 3 Reviews
Cited in 167 Documents

MSC:

76T99 Multiphase and multicomponent flows
76S05 Flows in porous media; filtration; seepage
76M99 Basic methods in fluid mechanics
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65C20 Probabilistic models, generic numerical methods in probability and statistics

Keywords:

miscible displacement; concentration; pressure; mixed finite element method; standard Galerkin method; optimal order estimates; sources and sinks
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\textit{J. Douglas jun.} et al., RAIRO, Anal. Numér. 17, 17--33 (1983; Zbl 0516.76094)
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References:

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[10] 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. Zbl0362.65089 MR483555 · Zbl 0362.65089
[11] 11. T. F. RUSSELL, An incompletely iterated characteristic finite element method fora miscible displacement problem, Thesis, University of Chicago, June 1980.
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[13] 13. J. M. THOMAS, Sur l’analyse numérique des méthodes d’éléments finis hybrideset mixtes, Thèse, Université Pierre et Marie Curie, 1977.
[14] 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. Zbl0444.76081 MR576923 · Zbl 0444.76081
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.