An Invitation to the Theory of the Hybridizable Discontinuous Galerkin Method

Projections, Estimates, Tools

Shukai Du, Francisco-Javier Sayas (Autoren)

Buch | Softcover

X, 124 Seiten

2019 | 1st ed. 2019
Springer International Publishing (Verlag)
978-3-030-27229-6 (ISBN)

Artikel merken

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) are carefully introduced before being used, so that the reader does not need to go over longforgotten textbooks. Readers include: computational mathematicians, numerical analysts, engineers and scientists interested in new and computationally competitive Discontinuous Galerkin methods. The intended audience includes graduate students in computational mathematics, physics, and engineering, since the prerequisites are quite basic for a second year graduate student who has already taken a non necessarily advanced class in the Finite Element method.

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

Erscheinungsdatum	15.09.2019
Reihe/Serie	SpringerBriefs in Mathematics
Zusatzinfo	X, 124 p. 24 illus.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	219 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
Schlagworte	Discontinuous Galerkin method • Galerkin method • Hybridization • mixed finite element methods • Partial differential equations • Projection-based error analysis
ISBN-10	3-030-27229-X / 303027229X
ISBN-13	978-3-030-27229-6 / 9783030272296
Zustand	Neuware