An optimal‐order error estimate for a Galerkin‐mixed finite‐element time‐stepping procedure for porous media flows |
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| Authors: | Feng‐xin Chen Huan‐zhen Chen Hong Wang |
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| Institution: | 1. School of Mathematical Sciences, Shandong Normal University, Jinan, Shandong 250014, China;2. Department of Mathematics, University of South Carolina, Columbia, South Carolina 29208 |
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| Abstract: | 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 |
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| Keywords: | convergence analysis error estimate porous medium flow |
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