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Mathematical Aspects of Discontinuous Galerkin Methods
Di Pietro, Daniele Antonio; Ern, Alexandre
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Description for Mathematical Aspects of Discontinuous Galerkin Methods
Paperback. Introduces the basic ideas to build discontinuous Galerkin methods and, at the same time, incorporates several recent mathematical developments. In this title, the analysis is presented in a rigorous mathematical setting where discrete counterparts of the key properties of the continuous problem are identified. Series: Mathematiques et Applications. Num Pages: 401 pages, 34 black & white illustrations, 5 black & white tables, biography. BIC Classification: PBKS; TBJ. Category: (P) Professional & Vocational. Dimension: 239 x 169 x 23. Weight in Grams: 614.
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 ... Read more
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 ... Read more
Product Details
Format
Paperback
Publication date
2011
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Germany
Number of pages
410
Condition
New
Series
Mathematiques et Applications
Number of Pages
384
Place of Publication
Berlin, Germany
ISBN
9783642229794
SKU
V9783642229794
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Mathematical Aspects of Discontinuous Galerkin Methods
From the reviews: “The goal of this book is to provide graduate students and researchers in numerical methods with the basic mathematical concepts to design and analyze discontinuous Galerkin (DG) methods for various model problems, starting at an introductory level and further elaborating on more advanced topics, considering that DG methods have tremendously developed in the last decade.” (Rémi ... Read more