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An Invitation to the Theory of the Hybridizable Discontinuous Galerkin Method
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Projections, Estimates, Tools
Paperback
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Artikel-Nr:
9783030272296
Veröffentl:
2019
Einband:
Paperback
Erscheinungsdatum:
14.09.2019
Seiten:
136
Autor:
Francisco-Javier Sayas
Gewicht:
219 g
Format:
235x155x8 mm
Serie:
SpringerBriefs in Mathematics
Sprache:
Englisch
Beschreibung:
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.
First introduction to a systematic analysis of the Hybridizable Discontinuous Galerkin 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.