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Split least-squares finite element methods for non-Fickian flow in porous media

Authors

  • Hongxing Rui,

    Corresponding author
    1. School of Mathematics and Computer Science, Ningxia University, Yinchuan 750021, China
    2. School of Mathematics, Shandong University, Jinan 250100, China
    • School of Mathematics and Computer Science, Ningxia University, Yinchuan 750021, China
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  • Hui Guo

    1. School of Mathematics and Computational Science, China University of Petroleum, Dongying 257061, China
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Abstract

In this article, we introduce two least-squares finite element procedures for parabolic integro-differential equations arising in the modeling of non-Fickian flow in porous media. By selecting the least-squares functional properly the presented procedure can be split into two independent subprocedures, one subprocedure is for the primitive unknown and the other is for the flux. The optimal order convergence analysis is established. Numerical examples are given to show the efficiency of the introduced schemes. © 2012 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2013

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