An optimal-order error estimate for a Galerkin-mixed finite-element time-stepping procedure for porous media flows

This article deals with the numerical approximation of miscible displacement problem of one incompressible fluid in a porous medium. The adopted formulation is based on the combined use of a mixed finite‐element scheme to treat pressure equation and of the finite‐element approach to treat concentrat...

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Bibliographic Details
Published inNumerical methods for partial differential equations Vol. 28; no. 2; pp. 707 - 719
Main Authors Chen, Feng-xin, Chen, Huan-zhen, Wang, Hong
Format Journal Article
LanguageEnglish
Published Hoboken Wiley Subscription Services, Inc., A Wiley Company 01.03.2012
Subjects
convergence analysis
error estimate
porous medium flow
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Summary:This article deals with the numerical approximation of miscible displacement problem of one incompressible fluid in a porous medium. The adopted formulation is based on the combined use of a mixed finite‐element scheme to treat pressure equation and of the finite‐element approach to treat concentration equation. Optimal‐order error estimates are obtained under some milder mesh‐parameter constraints. © 2011 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 28: 707–719, 2012
Bibliography:Young Scientists Fund of Shandong Province - No. 2008BS01008
National Natural Science Foundation of Shandong Province - No. Y2007A14
ark:/67375/WNG-SJ2QDW7L-H
ArticleID:NUM20652
National Science Foundation - No. EAR-0934747
istex:D885ABE4B727B563451EA5127749182BD2D47BDE
Tianyuan Mathematical Fund - No. 10926100
National Natural Science Foundation of China - No. 10971254
ISSN:0749-159X
1098-2426
DOI:10.1002/num.20652