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Mathematical Aspects Of Discontinuous Galerkin Methods 1st Edition Daniele Antonio Di Pietro

  • SKU: BELL-2405870
Mathematical Aspects Of Discontinuous Galerkin Methods 1st Edition Daniele Antonio Di Pietro
$ 31.00 $ 45.00 (-31%)

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Mathematical Aspects Of Discontinuous Galerkin Methods 1st Edition Daniele Antonio Di Pietro instant download after payment.

Publisher: Springer-Verlag Berlin Heidelberg
File Extension: PDF
File size: 4.24 MB
Pages: 384
Author: Daniele Antonio Di Pietro, Alexandre Ern (auth.)
ISBN: 9783642229794, 3642229794
Language: English
Year: 2012
Edition: 1

Product desciption

Mathematical Aspects Of Discontinuous Galerkin Methods 1st Edition Daniele Antonio Di Pietro by Daniele Antonio Di Pietro, Alexandre Ern (auth.) 9783642229794, 3642229794 instant download after payment.

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.

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