Mathematical Aspects of Discontinuous Galerkin Methods

• Main Authors: Di Pietro, Daniele Antonio (Author), Ern, Alexandre (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2012.
• Series: Mathématiques et Applications, 69
• Subjects: Mathematics.; Computer mathematics.; Numerical analysis.; Applied mathematics.; Engineering mathematics.; Numerical Analysis.; Computational Mathematics and Numerical Analysis.; Appl.Mathematics/Computational Methods of Engineering.

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 wid...

Table of Contents:

• Basic concepts
• Steady advection-reaction
• Unsteady first-order PDEs
• PDEs with diffusion
• Additional topics on pure diffusion
• Incompressible flows
• Friedhrichs' Systems
• Implementation.