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Coupling Locally Conservative Methods for Single Phase Flow

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Abstract

This work presents the coupling of two locally conservative methods for elliptic problems: namely, the discontinuous Galerkin method and the mixed finite element method. The couplings can be defined with or without interface Lagrange multipliers. The formulations are shown to be equivalent. Optimal error estimates are given; penalty terms may or may not be included. In addition, the analysis for non-conforming grids is also discussed.

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Authors and Affiliations

  1. Texas Institute for Computational and Applied Mathematics (TICAM), The University of Texas at Austin, Austin, TX, 78712, USA

    Béatrice Rivière & Mary Wheeler

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  1. Béatrice Rivière
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  2. Mary Wheeler
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Rivière, B., Wheeler, M. Coupling Locally Conservative Methods for Single Phase Flow. Computational Geosciences 6, 269–284 (2002). https://doi.org/10.1023/A:1021266409023

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