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Discontinuous Galerkin methods for Stokes equations under power law slip boundary condition: a priori analysis

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Abstract

In this work, three discontinuous Galerkin (DG) methods are formulated and analysed to solve Stokes equations with power law slip boundary condition. Numerical examples exhibited confirm the theoretical findings, moreover we also test the methods on the lid Driven cavity and compare the three DG methods.

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Acknowledgements

The authors thank the referee for his/her valuable remarks and comments.

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Authors and Affiliations

  1. School of Mathematical and Statistical Sciences, North West University, Potchefstroom, South Africa

    Djoko Kamdem Jules

  2. Department of Mathematics and Statistical Sciences, Botswana International University of Science and Technology, Palapye, Botswana

    Gidey Hagos

  3. LIMOS, Université Clermont-Auvergne – CNRS UMR 6158, B.P 10448, 63000, Clermont-Ferrand, France

    Koko Jonas

  4. Laboratoire de Mathematiques et Applications, Unite de recherche “Mathematiques et Modelisation”, Faculté des Sciences, Université Saint-Joseph, B.P 11-514, Riad El Solh, Beirut, 1107 2050, Lebanon

    Sayah Toni

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Jules, D.K., Hagos, G., Jonas, K. et al. Discontinuous Galerkin methods for Stokes equations under power law slip boundary condition: a priori analysis. Calcolo 61, 13 (2024). https://doi.org/10.1007/s10092-023-00563-z

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  • DOI: https://doi.org/10.1007/s10092-023-00563-z

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