The Gradient Discretisation Method

The Gradient Discretisation Method

Jérôme Droniou / Robert Eymard / Thierry Gallouët

46,74 €
IVA incluido
Disponible
Editorial:
Springer Nature B.V.
Año de edición:
2018
ISBN:
9783319790435
46,74 €
IVA incluido
Disponible

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Sobre IBD

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.

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