Geodesic
A NUMERICAL APPROXIMATION OF NONFICKIAN FLOWS WITH MIXING LENGTH GROWTH IN POROUS MEDIA
Acta mathematica Universitatis Comenianae, Tome 70 (2001) no. 1 
R. E. Ewing; Y. Lin; J. Wang. A  NUMERICAL  APPROXIMATION  OF  NONFICKIAN  FLOWS
                          WITH  MIXING  LENGTH  GROWTH
                                        IN  POROUS  MEDIA. Acta mathematica Universitatis Comenianae, Tome 70 (2001) no. 1. http://geodesic.mathdoc.fr/item/AMUC_2001_70_1_a4/
@article{AMUC_2001_70_1_a4,
     author = {R. E. Ewing and Y. Lin and J. Wang},
     title = {A  {NUMERICAL}  {APPROXIMATION}  {OF}  {NONFICKIAN}  {FLOWS
}                          {WITH}  {MIXING}  {LENGTH}  {GROWTH
}                                        {IN}  {POROUS}  {MEDIA}},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2001},
     volume = {70},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2001_70_1_a4/}
}
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                          WITH  MIXING  LENGTH  GROWTH
                                        IN  POROUS  MEDIA
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%A Y. Lin
%A J. Wang
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                          WITH  MIXING  LENGTH  GROWTH
                                        IN  POROUS  MEDIA
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%D 2001
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The nonFickian flow of fluid in porous media is complicated by the history effect which characterizes various mixing length growth of the flow, which can be modeled by an integro-differential equation. This paper proposes two mixed finite element methods which are employed to discretize the parabolic integro-differential equation model. An optimal order error estimate is established for one of the discretization schemes.