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The Gradient Discretisation Method 1st Ed Jrme Droniou Robert Eymard

  • SKU: BELL-7150362
The Gradient Discretisation Method 1st Ed Jrme Droniou Robert Eymard
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The Gradient Discretisation Method 1st Ed Jrme Droniou Robert Eymard instant download after payment.

Publisher: Springer International Publishing
File Extension: PDF
File size: 8.26 MB
Author: Jérôme Droniou, Robert Eymard, Thierry Gallouët, Cindy Guichard, Raphaèle Herbin
ISBN: 9783319790411, 9783319790428, 3319790412, 3319790420
Language: English
Year: 2018
Edition: 1st ed.

Product desciption

The Gradient Discretisation Method 1st Ed Jrme Droniou Robert Eymard by Jérôme Droniou, Robert Eymard, Thierry Gallouët, Cindy Guichard, Raphaèle Herbin 9783319790411, 9783319790428, 3319790412, 3319790420 instant download after payment.

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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