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Part II. Discontinuous Galerkin method applied to a single phase flow in porous media
Authors:Béatrice Riviè;re  Mary F Wheeler  Krzysztof Banaś
Institution:(1) The Center for Subsurface Modeling, Texas Institute for Computational and Applied Mathematics, The University of Texas, Austin, TX 78712, USA;(2) Section of Applied Mathematics, Cracow University of Technology, Warszawska 24, Krakó;w, Poland
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.
Keywords:discontinuous approximations  discontinuous coefficients  porous media  single phase flow
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