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Some Discrete Functional Analysis Tools

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Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects (FVCA 2017)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 199))

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Abstract

The objective of this short paper is to present discrete functional analysis tools for proving the convergence of numerical schemes, mainly for elliptic and parabolic equations (Stefan problem and incompressible and compressible Navier–Stokes equations, for instance). The main part of these results are given in some papers coauthored with several coworkers.

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References

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Author information

Authors and Affiliations

  1. Aix Marseille University, Marseille, France

    Thierry Gallouët

Authors
  1. Thierry Gallouët
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Correspondence to Thierry Gallouët .

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Editors and Affiliations

  1. Equipe RAPSODI, Inria Lille - Nord Europe, Villeneuve-d’Ascq, France

    Clément Cancès

  2. Commissariat à l'énergie atomique et aux énergies alternatives, Centre de Saclay, Gif-sur-Yvette, France

    Pascal Omnes

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Gallouët, T. (2017). Some Discrete Functional Analysis Tools. In: Cancès, C., Omnes, P. (eds) Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects . FVCA 2017. Springer Proceedings in Mathematics & Statistics, vol 199. Springer, Cham. https://doi.org/10.1007/978-3-319-57397-7_3

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