H1-Galerkin expanded mixed finite element methods for nonlinear pseudo-parabolic integro-differential equations

Authors

  • Haitao Che,

    Corresponding author
    1. College of Mathematics and Information Science, Weifang University, Weifang 261061, People's Republic of China
    2. College of Operations and Management, Qufu Normal University, Rizhao 276826, People's Republic of China
    • College of Mathematics and Information Science, Weifang University, Weifang 261061, People's Republic of China
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  • Zhaojie Zhou,

    1. School of Mathematical Sciences, Shandong Normal University, Jinan 250014, People's Republic of China
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  • Ziwen Jiang,

    1. School of Mathematical Sciences, Shandong Normal University, Jinan 250014, People's Republic of China
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  • Yiju Wang

    1. College of Operations and Management, Qufu Normal University, Rizhao 276826, People's Republic of China
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Abstract

H1-Galerkin mixed finite element method combined with expanded mixed element method is discussed for nonlinear pseudo-parabolic integro-differential equations. We conduct theoretical analysis to study the existence and uniqueness of numerical solutions to the discrete scheme. A priori error estimates are derived for the unknown function, gradient function, and flux. Numerical example is presented to illustrate the effectiveness of the proposed scheme. © 2012 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2013

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