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\(H_{\mathrm{div}}\) Conforming GDs from Mixed Finite Element Methods

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The Gradient Discretisation Method

Part of the book series: Mathématiques et Applications ((MATHAPPLIC,volume 82))

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Abstract

GDMs are derived from mixed finite element schemes, using the initial and the hybrid formulations. High order estimates are proved in the case where the GDMs are issued from Raviart-Thomas mixed finite elements.

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Authors and Affiliations

  1. School of Mathematical Sciences, Monash University, Clayton, VIC, Australia

    Jérôme Droniou

  2. Laboratoire d’Analyse et de Mathématiques Appliquées, Université Paris-Est Marne-la-Vallée, Champs-sur-Marne, France

    Robert Eymard

  3. Institut de Mathématiques de Marseille, Aix-Marseille Université, Ecole Centrale de Marseille, CNRS, Marseille, France

    Thierry Gallouët & Raphaèle Herbin

  4. Laboratoire Jacques-Louis Lions, Sorbonne Université, Paris, France

    Cindy Guichard

Authors
  1. Jérôme Droniou
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  2. Robert Eymard
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  3. Thierry Gallouët
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  4. Cindy Guichard
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  5. Raphaèle Herbin
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Corresponding author

Correspondence to Raphaèle Herbin .

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Droniou, J., Eymard, R., Gallouët, T., Guichard, C., Herbin, R. (2018). \(H_{\mathrm{div}}\) Conforming GDs from Mixed Finite Element Methods. In: The Gradient Discretisation Method. Mathématiques et Applications, vol 82. Springer, Cham. https://doi.org/10.1007/978-3-319-79042-8_10

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