Ewing, R. E.; Lin, Y.; Wang, J. A numerical approximation of non-Fickian flows with mixing length growth in porous media. (English) Zbl 1007.76036 Acta Math. Univ. Comen., New Ser. 70, No. 1, 75-84 (2001). Summary: The non-Fickian fluid flow in porous media are complicated by history effect which characterizes various mixing length growth of the flow, and which can be modeled by an integro-differential equation. This paper proposes two mixed finite element methods which are employed to discretize this parabolic integro-differential equation. An optimal order error estimate is established for one of the discretization schemes. Cited in 1 ReviewCited in 9 Documents MSC: 76M10 Finite element methods applied to problems in fluid mechanics 76S05 Flows in porous media; filtration; seepage 65R20 Numerical methods for integral equations Keywords:non-Fickian fluid flows; up-scaling; multi-phase flow; history effect; mixing length growth; mixed finite element methods; parabolic integro-differential equation; optimal order error estimate PDFBibTeX XMLCite \textit{R. E. Ewing} et al., Acta Math. Univ. Comen., New Ser. 70, No. 1, 75--84 (2001; Zbl 1007.76036) Full Text: EuDML