Click Here to Download: https://ouo.io/iNGR6i The Gradient Discretisation Method By: Jérôme Droniou; Robert Eymard; Thierry Gallouët; Cindy Guichard; Raphaèle Herbin Publisher: Springer Print ISBN: 9783319790411, 3319790412 eText ISBN: 9783319790428, 3319790420 Copyright year: 2018 Format: EPUB Available from $ 69.99 USD SKU 9783319790428 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.
