The Gradient Discretisation Method

• Main Authors: Droniou, Jérôme (Author, http://id.loc.gov/vocabulary/relators/aut), Eymard, Robert (http://id.loc.gov/vocabulary/relators/aut), Gallouët, Thierry (http://id.loc.gov/vocabulary/relators/aut), Guichard, Cindy (http://id.loc.gov/vocabulary/relators/aut), Herbin, Raphaèle (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: Mathématiques et Applications, 82
• Subjects: Computer mathematics.; Partial differential equations.; Computational Mathematics and Numerical Analysis.; Partial Differential Equations.

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 provide...

Table of Contents:

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