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＜電子ブック＞
Mathematical Aspects of Discontinuous Galerkin Methods / by Daniele Antonio Di Pietro, Alexandre Ern
(Mathématiques et Applications. ISSN:21983275 ; 69)

版	1st ed. 2012.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2012
本文言語	英語
大きさ	XVII, 384 p. 34 illus : online resource
著者標目	*Di Pietro, Daniele Antonio author Ern, Alexandre author SpringerLink (Online service)
件　名	LCSH:Numerical analysis LCSH:Mathematics -- Data processing  全ての件名で検索 LCSH:Engineering mathematics LCSH:Engineering -- Data processing  全ての件名で検索 FREE:Numerical Analysis FREE:Computational Mathematics and Numerical Analysis FREE:Mathematical and Computational Engineering Applications
一般注記	Basic concepts -- Steady advection-reaction -- Unsteady first-order PDEs -- PDEs with diffusion -- Additional topics on pure diffusion -- Incompressible flows -- Friedhrichs' Systems -- Implementation This book introduces the basic ideas for building discontinuous Galerkin methods and, at the same time, incorporates several recent mathematical developments. It 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 utilized 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 HTTP:URL=https://doi.org/10.1007/978-3-642-22980-0

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