EAN: 9783319790411

9783319790411 - The Gradient Discretisation Method - Jérôme Droniou Robert Eymard Thierry Gallouët Cindy Guichard Raphaèle Herbin Kartoniert (TB)
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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.
Produktinformationen zuletzt aktualisiert am
25.03.2025 um 11:33 Uhr


Hersteller
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EAN
9783319790411
MPN
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ASIN
3319790412
Produktgruppe
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