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Mortar spectral element discretization of the stokes problem in axisymmetric domains

Authors

  • Saloua Mani Aouadi,

    1. Faculty of Sciences of Tunis, Department of Mathematics, University of Tunis El Manar, University Campus, Tunis, Tunisia
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  • Christine Bernardi,

    Corresponding author
    1. Laboratoire Jacques-Louis Lions, C.N.R.S. & Université Pierre et Marie Curie, Paris Cedex 05, France
    • Correspondence to: Christine Bernardi, Laboratoire Jacques-Louis Lions, C.N.R.S. & Université Pierre et Marie Curie, Boîte courrier 187, 4 place Jussieu, 75252 Paris Cedex 05, France, (e-mail: bernardi@ann.jussieu.fr)

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  • Jamil Satouri

    1. Faculty of Sciences of Tunis, Department of Mathematics, University of Tunis El Manar, University Campus, Tunis, Tunisia
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Abstract

The Stokes problem in a tri-dimensional axisymmetric domain results into a countable family of two-dimensional problems when using the Fourier coefficients with respect to the angular variable. Relying on this dimension reduction, we propose and study a mortar spectral element discretization of the problem. Numerical experiments confirm the efficiency of this method. © 2013 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 30: 44–73, 2014

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