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Finite Element Methods for Incompressible Flow Problems pp 137–242Cite as

The Stokes Equations

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Part of the book series: Springer Series in Computational Mathematics ((SSCM,volume 51))

Abstract

The Stokes equations model the simplest incompressible flow problems. These problems are steady-state and the convective term can be neglected. Hence, the arising model is linear. Thus, the only difficulty which remains from the problems mentioned in Remark 2.19 is the coupling of velocity and pressure.

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Notes

  1. 1.

    2D graphics were plotted with Matplotlib, Hunter (2007), http://matplotlib.org.

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  1. Weierstrass Institute for Applied Analysis and Stochastics, Berlin, Germany

    Volker John

  2. Fachbereich Mathematik und Informatik, Freie Universität Berlin, Berlin, Germany

    Volker John

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John, V. (2016). The Stokes Equations. In: Finite Element Methods for Incompressible Flow Problems. Springer Series in Computational Mathematics, vol 51. Springer, Cham. https://doi.org/10.1007/978-3-319-45750-5_4

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