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Title of Journal: Acta Math Appl Sin Engl Ser

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Abbravation: Acta Mathematicae Applicatae Sinica, English Series

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Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society

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10.1002/chin.200703121

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1618-3932

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Superconvergence of a combined mixed finite elemen

Authors: Jiming Yang Yanping Chen
Publish Date: 2011/06/14
Volume: 27, Issue: 3, Pages: 481-494
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Abstract

A combined mixed finite element and discontinuous Galerkin method for a compressible miscible displacement problem which includes molecular diffusion and dispersion in porous media is investigated That is to say the mixed finite element method with RaviartThomas space is applied to the flow equation and the transport one is solved by the symmetric interior penalty discontinuous Galerkin SIPG approximation Based on projection interpolations and induction hypotheses a superconvergence estimate is obtained During the analysis an extension of the Darcy velocity along the Gauss line is also used in the evaluation of the coefficients in the Galerkin procedure for the concentrationSupported by the National Natural Science Foundation of China No 10971074 the Foundation for Talent Introduction of Guangdong Provincial University Guangdong Province Universities and Colleges Pearl River Scholar Funded Scheme 2008 Hunan Provincial Natural Science Foundation of China No 10JJ3021 Aid program for Science and Technology Innovative Research Team in Higher Educational Institutions of Hunan Province


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