An Invitation to the Theory of the Hybridizable Discontinuous Galerkin Method Projections, Estimates, Tools /

• Main Authors: Du, Shukai (Author, http://id.loc.gov/vocabulary/relators/aut), Sayas, Francisco-Javier (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: SpringerBriefs in Mathematics,
• Subjects: Numerical analysis.; Numerical Analysis.

This monograph requires basic knowledge of the variational theory of elliptic PDE and the techniques used for the analysis of the Finite Element Method. However, all the tools for the analysis of FEM (scaling arguments, finite dimensional estimates in the reference configuration, Piola transforms) a...

Table of Contents:

• Getting ready
• Projection analysis of mixed methods
• The Hybridizable Discontinuous Galerkin method
• Variants of the HDG method
• HDG methods for evolutionary equations
• Further reading. .