Abstract
The structure of the finite element method offers a user a range of choices. This is especially true for solving incompressible fluid problems, where theory points to a number of stable finite element formulations. Using automation tools, we implement and examine various stable formulations for the steady-state Stokes equations. It is demonstrated that the expressiveness of the FEniCS Project components allows solvers for the Stokes problem that use various element formulations to be created with ease.
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© 2012 Springer-Verlag Berlin Heidelberg
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Terrel, A.R., Scott, L.R., Knepley, M.G., Kirby, R.C., Wells, G.N. (2012). Finite elements for incompressible fluids. In: Logg, A., Mardal, KA., Wells, G. (eds) Automated Solution of Differential Equations by the Finite Element Method. Lecture Notes in Computational Science and Engineering, vol 84. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23099-8_20
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DOI: https://doi.org/10.1007/978-3-642-23099-8_20
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-23098-1
Online ISBN: 978-3-642-23099-8
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