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Subproblems Individually

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Stokes–Darcy Equations

Part of the book series: Advances in Mathematical Fluid Mechanics ((LNMFM))

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Abstract

In this section the existence and uniqueness of solutions of the involved subproblems are proved. Besides the Laplace equation this includes the so-called saddle point theory which is an abstract framework and is then applied to the Stokes equations as well as to the coupled Stokes–Darcy problem in Chap. 6.

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References

  1. Daniele Boffi, Franco Brezzi, and Michel Fortin. Mixed finite element methods and applications, volume 44 of Springer Series in Computational Mathematics. Springer, Heidelberg, 2013.

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  2. Franco Brezzi and Michel Fortin. Mixed and hybrid finite element methods, volume 15 of Springer Series in Computational Mathematics. Springer-Verlag, New York, 1991.

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  4. Alfio Quarteroni and Alberto Valli. Domain decomposition methods for partial differential equations. Numerical Mathematics and Scientific Computation. The Clarendon Press Oxford University Press, New York, 1999. Oxford Science Publications.

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Wilbrandt, U. (2019). Subproblems Individually. In: Stokes–Darcy Equations. Advances in Mathematical Fluid Mechanics(). Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-02904-3_5

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