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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Mathematical Aspects of Discontinuous Galerkin Methods

Mathematical Aspects of Discontinuous Galerkin Methods

Ern, Alexandre
Di Pietro, Daniele Antonio

Paperback

Series: Mathématiques Et Applications, Book 69

General Mathematics

ISBN10: 3642229794
ISBN13: 9783642229794
Publisher: Springer
Published: Nov 4 2011
Pages: 384
Weight: 1.15
Height: 1.00 Width: 6.00 Depth: 9.00
Language: English
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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