An Invitation to the Theory of the Hybridizable Discontinuous Galerkin Method (eBook)

Projections, Estimates, Tools

Shukai Du, Francisco-Javier Sayas (Autoren)

eBook Download: PDF

2019 | 1st ed. 2019
X, 124 Seiten
Springer International Publishing (Verlag)
978-3-030-27230-2 (ISBN)

Infos

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.

Produkt-Details

• Erscheint lt. Verlag: 29.8.2019
• Reihe/Serie: SpringerBriefs in Mathematics
• Reihe/Serie: SpringerBriefs in Mathematics
• Zusatzinfo: X, 124 p. 24 illus.
• Sprache: englisch
• 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: 3-030-27230-3 / 3030272303
• ISBN-13: 978-3-030-27230-2 / 9783030272302