The Gradient Discretisation Method
Droniou, Jérôme, Eymard, Robert, Gallouët, Thierry, Guichard, Cindy, Herbin, Raphaèle
Produktnummer:
18f2100b55ebeb4fedbd6795e4204d51dd
Autor: | Droniou, Jérôme Eymard, Robert Gallouët, Thierry Guichard, Cindy Herbin, Raphaèle |
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Themengebiete: | Convergence by compactness Discrete Aubin-Simon compactness theorems Elliptic partial differential equations Error estimates Gradient Discretisation Method Gradient schemes Parabolic partial differential equations Unified convergence analysis partial differential equations |
Veröffentlichungsdatum: | 11.08.2018 |
EAN: | 9783319790411 |
Sprache: | Englisch |
Seitenzahl: | 497 |
Produktart: | Kartoniert / Broschiert |
Verlag: | Springer International Publishing |
Produktinformationen "The Gradient Discretisation Method"
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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