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The Gradient Discretisation Method - Cindy Guichard,Robert Eymard,Raphaèle Herbin,Thierry Gallouët,Jérôme Droniou

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2018-08-11
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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-lin ... Visas aprašymas

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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.

Daugiau informacijos

Autorius Cindy Guichard, Robert Eymard, Raphaèle Herbin, Thierry Gallouët, Jérôme Droniou
Leidėjas Springer Nature Switzerland
Series Mathématiques et Applications
Išleidimo metai 2018
Viršelio tipas Minkšti viršeliai
EAN 9783319790411
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74,24 € 98,98 €