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Coupling multipoint flux mixed finite element methodswith continuous Galerkin methods for poroelasticity

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Abstract

We study the numerical approximation on irregular domains with general grids of the system of poroelasticity, which describes fluid flow in deformable porous media. The flow equation is discretized by a multipoint flux mixed finite element method and the displacements are approximated by a continuous Galerkin finite element method. First-order convergence in space and time is established in appropriate norms for the pressure, velocity, and displacement. Numerical results are presented that illustrate the behavior of the method.

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Authors and Affiliations

  1. Institute for Computational Engineering and Sciences, The University of Texas at Austin, Austin, TX, 78712, USA

    Mary Wheeler

  2. Shell Technology Center Houston, Shell International Exploration and Production Co., Houston, TX, 77082, USA

    Guangri Xue

  3. Department of Mathematics, University of Pittsburgh, Pittsburgh, PA, 15260, USA

    Ivan Yotov

Authors
  1. Mary Wheeler
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  2. Guangri Xue
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  3. Ivan Yotov
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Correspondence to Guangri Xue.

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Wheeler, M., Xue, G. & Yotov, I. Coupling multipoint flux mixed finite element methodswith continuous Galerkin methods for poroelasticity. Comput Geosci 18, 57–75 (2014). https://doi.org/10.1007/s10596-013-9382-y

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  • DOI: https://doi.org/10.1007/s10596-013-9382-y

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