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The Gradient Discretisation Method

A Framework for the Discretization of Elliptic and Parabolic Problems

Produktform: E-Buch Text Elektronisches Buch in proprietärem

This monograph presents  the Gradient Discretisation Method (GDM), which is a unified convergence analysis framework for numerical methods for elliptic and parabolic partial differential equations. The results obtained by the GDM cover both stationary and transient models; error estimates are provided for linear (and some non-linear) equations, and convergence is established for a wide range of fully non-linear models (e.g. Leray–Lions equations and degenerate parabolic equations such as the Stefan or Richards models). The GDM applies to a diverse range of methods, both classical (conforming, non-conforming, mixed finite elements, discontinuous Galerkin) and modern (mimetic finite differences, hybrid and mixed finite volume, MPFA-O finite volume), some of which can be built on very general meshes.weiterlesen

Dieser Artikel gehört zu den folgenden Serien

Elektronisches Format: PDF

Sprache(n): Englisch

ISBN: 978-3-319-79042-8 / 978-3319790428 / 9783319790428

Verlag: Springer International Publishing

Erscheinungsdatum: 31.07.2018

Seiten: 497

Autor(en): Raphaèle Herbin, Jérôme Droniou, Robert Eymard, Thierry Gallouët, Cindy Guichard

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