The Gradient Discretisation Method

von Jérôme Droniou, Robert Eymard, Thierry Gallouët, Cindy Guichard, Raphaèle Herbin

497 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Mathématiques et Applications
• Themen: Mathematik und Naturwissenschaften Mathematik Mathematische Analysis, allgemein Numerische Mathematik
• ISBN: 9783319790411
• Sprache: Englisch
• Erscheinungsdatum: 11.08.2018
• Größe: 23.5 x 15.5 cm
• Verlag: Springer International Publishing