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Field name	Details
Dewey Class	518
Title	Mathematical Aspects of Discontinuous Galerkin Methods ([Ebook]) / by Daniele Antonio Di Pietro, Alexandre Ern.
Author	Di Pietro, Daniele Antonio
Added Personal Name	Ern, Alexandre
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : Springer , 2012.
Physical Details	XVII, 384 pages : online resource.
Series	Mathématiques et Applications 1154-483X ; ; 69
ISBN	9783642229800
Summary Note	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.:
Contents note	Basic concepts -- Steady advection-reaction -- Unsteady first-order PDEs -- PDEs with diffusion -- Additional topics on pure diffusion -- Incompressible flows -- Friedhrichs' Systems -- Implementation.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-3-642-22980-0
Links to Related Works	Subject References: Appl.Mathematics/Computational Methods of Engineering . Computational Mathematics and Numerical Analysis . Computer Science . Engineering mathematics . Galerkin methods . Mathematics . Numerical Analysis . Authors: author . Di Pietro, Daniele Antonio . Ern, Alexandre . Corporate Authors: SpringerLink (Online service) . Series: Mathématiques et Applications . Classification: 518 . 518 (DDC 23) .

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Mathematical Aspects of Discontinuous Galerkin Methods

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