Mortar spectral element discretization of the stokes problem in axisymmetric domains |
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| Authors: | Saloua Mani Aouadi Christine Bernardi Jamil Satouri |
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| Institution: | 1. Faculty of Sciences of Tunis, Department of Mathematics, University of Tunis El Manar, University Campus, , 2060 Tunis, Tunisia;2. Laboratoire Jacques‐Louis Lions, C.N.R.S. & Université Pierre et Marie Curie, , 75252 Paris Cedex 05, France |
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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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| Keywords: | axisymmetric domains mortar method spectral element method Stokes equation |
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