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Mathematical Aspects of Discontinuous Galerkin Methods: 69 (Mathématiques et Applications, 69) - Softcover

Book 4 of 9: Mathématiques et Applications

Di Pietro, Daniele Antonio; Ern, Alexandre

 
9783642229794: Mathematical Aspects of Discontinuous Galerkin Methods: 69 (Mathématiques et Applications, 69)
Softcover
ISBN 10: 3642229794 ISBN 13: 9783642229794
Publisher: Springer, 2011

Synopsis

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.

"synopsis" may belong to another edition of this title.

From the Back Cover

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.

"About this title" may belong to another edition of this title.

Publisher
Springer
Publication date
2011
Language
English
ISBN 10 
3642229794
ISBN 13 
9783642229794
Binding
Paperback
Number of pages
401