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The Gradient Discretisation Method pp 3–16Cite as

Motivation and Basic Ideas

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

Abstract

After a brief review of a variety of discretisation methods for linear and non-linear elliptic problems, the basic ideas and motivations of GDM are presented.

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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). Motivation and Basic Ideas. In: The Gradient Discretisation Method. Mathématiques et Applications, vol 82. Springer, Cham. https://doi.org/10.1007/978-3-319-79042-8_1

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