A nonconforming finite element method for the Stokes equations using the Crouzeix‐Raviart element for the velocity and the standard linear element for the pressure |
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| Authors: | Bishnu P. Lamichhane |
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| Affiliation: | School of Mathematical & Physical Sciences, Mathematics Building, University of Newcastle, University Drive, Callaghan, NSW 2308, Australia |
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| Abstract: | We present a finite element method for Stokes equations using the Crouzeix‐Raviart element for the velocity and the continuous linear element for the pressure. We show that the inf‐sup condition is satisfied for this pair. Two numerical experiments are presented to support the theoretical results. Copyright © 2013 John Wiley & Sons, Ltd. |
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| Keywords: | Stokes equations mixed finite elements Crouzeix‐Raviart element nonconforming method inf‐sup condition |
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