A mixed finite element method for a Ladyzhenskaya model |
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| Affiliation: | 1. Département de Mathématiques et de Statistique, Université de Moncton, Moncton, NB, Canada E1A 3E9;2. MAPLY, CNRS–UMR 5585, Département de Mathématiques et Informatique, Ecole Centrale de Lyon, B.P. 163, 69131 Ecully Cedex, France;1. Department of Mathematics, The Chinese University of Hong Kong, Hong Kong Special Administrative Region;2. School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China;1. University College London, UK;2. School of Mathematics, University of Edinburgh, James Clerk Maxwell Building, The King’s Buildings, Peter Guthrie Tait Road, Edinburgh, Scotland, EH9 3FD, UK;3. Faculty of Health, Engineering and Sciences, University of Southern Queensland, Toowoomba, QLD, 4350, Australia;4. Department of Applied Mathematics, Nizhny Novgorod State Technical University n.a. R.E. Alekseev, Nizhny Novgorod, Russia;2. Department of Mathematics, Indian Institute of Space Science and Technology, Thiruvananthapuram 695 547, Kerala, India;3. Institute of Earth Sciences, Géopolis UNIL-Mouline, University of Lausanne, CH-1015 Lausanne, Switzerland;1. Department of Mathematics, University of Oslo, P.O. Box 1053, Blindern, NO-0316 Oslo, Norway;2. Department of Mathematical Sciences, Norwegian University of Science and Technology, NO-7491 Trondheim, Norway;3. Tata Institute of Fundamental Research Centre, Centre for Applicable Mathematics, Post Bag No. 6503, GKVK Post Office, Sharada Nagar, Chikkabommasandra, Bangalore 560065, India |
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| Abstract: | We study a mixed finite element approximation of a model proposed by Ladyzhenskaya for stationary incompressible viscous flow. We give existence and uniqueness results for the continuous problem and its approximation and we prove error bounds which improve the existing ones. Finally, some numerical results are presented. |
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