The Gradient Discretisation Method [electronic resource] / by Jérôme Droniou, Robert Eymard, Thierry Gallouët, Cindy Guichard, Raphaèle Herbin

Author: Droniou, Jérôme
Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
Physical Description: XXIV, 497 pages 33 illustrations, 14 illustrations in color : online resource
Additional Creators: Eymard, Robert, Gallouët, Thierry, Guichard, Cindy, Herbin, Raphaèle, and SpringerLink (Online service)

Access Online

ezaccess.libraries.psu.edu

Availability

Finding items...

Series

Mathématiques & applications. 1154-483X ; 82.

Contents

Part I Elliptic problems -- Part II Parabolic problems -- Part III Examples of gradient discretisation methods -- Part IV Appendix.

Summary

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.

Subject(s)

ISBN

9783319790428

Digital File Characteristics

text file PDF

Part Of

Springer eBooks

View MARC record | catkey: 24097184