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A Comparison of Finite Element Schemes for the Incompressible Navier-Stokes Equations

Chapter in book
Authors Kristian Valen-Sendstad
Anders Logg
Kent-Andre Mardal
Harish Narayanan
Mikael Mortensen
Published in Automated Solution of Differential Equations by the Finite Element Method. Anders Logg, Kent-Andre Mardal, Garth Wells (Eds.)
Pages 399-420
ISBN 978-3-642-23098-1
Publisher Springer
Place of publication Heidelberg
Publication year 2012
Published at Department of Mathematical Sciences, Mathematics
Pages 399-420
Language en
Subject categories Mathematics, Computational Mathematics


Numerical algorithms for the computation of fluid flow have been an active area of research for 12062 several decades and still remain an important field to study. As a result, there exists a large literature 12063 on discretization schemes for the incompressible Navier–Stokes equations, and it can be hard to 12064 judge which method works best for any particular problem. Furthermore, since the development of 12065 any particular discretization scheme is often a long process and tied to a specific implementation, 12066 comparisons of different methods are seldom made.

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