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Part II. Discontinuous Galerkin method applied to a single phase flow in porous media

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Abstract

Discontinuous Galerkin numerical simulations of single phase flow problem are described in this paper. The simulations show the advantages of using discontinuous approximation spaces. hp convergence results are obtained for smooth solutions. Unstructured meshes and unsmooth solutions are also considered.

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Authors and Affiliations

  1. The Center for Subsurface Modeling, Texas Institute for Computational and Applied Mathematics, The University of Texas, Austin, TX, 78712, USA

    Béatrice Riviè;re, Mary F. Wheeler & Krzysztof Banaś

  2. Section of Applied Mathematics, Cracow University of Technology, Warszawska 24, Krakó;w, Poland

    Krzysztof Banaś

Authors
  1. Béatrice Riviè;re
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  2. Mary F. Wheeler
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  3. Krzysztof Banaś
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Riviè;re, B., Wheeler, M.F. & Banaś, K. Part II. Discontinuous Galerkin method applied to a single phase flow in porous media. Computational Geosciences 4, 337–349 (2000). https://doi.org/10.1023/A:1011546411957

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  • DOI: https://doi.org/10.1023/A:1011546411957

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