The Gradient Discretisation Method 2018 Edition Contributor(s): Droniou, Jérôme (Author), Eymard, Robert (Author), Gallouët, Thierry (Author) |
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ISBN: 3319790412 ISBN-13: 9783319790411 Publisher: Springer OUR PRICE: $61.74 Product Type: Paperback - Other Formats Published: August 2018 |
Additional Information |
BISAC Categories: - Mathematics | Counting & Numeration - Mathematics | Differential Equations - General - Mathematics | Numerical Analysis |
Dewey: 515.353 |
Series: Mathématiques Et Applications |
Physical Information: 1.05" H x 6.14" W x 9.21" (1.60 lbs) 497 pages |
Descriptions, Reviews, Etc. |
Publisher Description: 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. |