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Mathematical Aspects of Discontinuous Galerkin Methods

Name: Mathematical Aspects of Discontinuous Galerkin Methods
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 05281336
Price: 125.09 EUR
Availability: InStock
Author: Daniele Antonio Di Pietro
ISBN: 9783642229794

Daniele Antonio Di Pietro

Alexandre Ern

Lingua

Inglese

Libro In brossura

Codice Libristo: 05281336

Casa editrice Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, novembre 2011

This book introduces the basic ideas to build discontinuous Galerkin methods and, at the same time,... Descrizione completa

Codice Libristo: 05281336

306 b

125.09 €

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This book introduces the basic ideas to build discontinuous Galerkin methods and, at the same time, incorporates several recent mathematical developments. The presentation is to a large extent self-contained and is intended for graduate students and researchers in numerical analysis. The material covers a wide range of model problems, both steady and unsteady, elaborating from advection-reaction and diffusion problems up to the Navier-Stokes equations and Friedrichs' systems. Both finite element and finite volume viewpoints are exploited to convey the main ideas underlying the design of the approximation. The analysis is presented in a rigorous mathematical setting where discrete counterparts of the key properties of the continuous problem are identified. The framework encompasses fairly general meshes regarding element shapes and hanging nodes. Salient implementation issues are also addressed.