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Two new least-squares mixed finite element procedures for convection-dominated Sobolev equations

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Abstract

Two new least-squares mixed finite element procedures are formulated for solving convection-dominated Sobolev equations. Optimal H(div;Ω)×H 1(Ω) norms error estimates are derived under the standard mixed finite spaces. Moreover, these two schemes provide the approximate solutions with first-order and second-order accuracy in time increment, respectively.

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Authors and Affiliations

  1. Department of Computational and Applied Mathematics, China Universityof Petroleum, Tsingdao, 266555, China

    Jian-song Zhang

  2. Department of Mathematics, East China Normal University, Shanghai, 200062, China

    Dan-ping Yang

  3. Laboratório Nacional de Computação Científica, 25651-075, Petrópolis, RJ, Brazil

    Jiang Zhu

Authors
  1. Jian-song Zhang
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  2. Dan-ping Yang
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  3. Jiang Zhu
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Corresponding author

Correspondence to Jian-song Zhang.

Additional information

Supported by by the National Science Foundation for Young Scholars of China (11101431), the Fundamental Research Funds for the Central Universities (12CX04082A, 10CX04041A) and Shandong Province Natural Science Foundation of China (ZR2010AL020).

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Zhang, Js., Yang, Dp. & Zhu, J. Two new least-squares mixed finite element procedures for convection-dominated Sobolev equations. Appl. Math. J. Chin. Univ. 26, 401–411 (2011). https://doi.org/10.1007/s11766-011-2851-y

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  • DOI: https://doi.org/10.1007/s11766-011-2851-y

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