Discontinuous Galerkin Method Analysis and Applications to Compressible Flow /

• Main Authors: Dolejší, Vít (Author), Feistauer, Miloslav (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Series: Springer Series in Computational Mathematics, 48
• Subjects: Mathematics.; Applied mathematics.; Engineering mathematics.; Computer mathematics.; Numerical analysis.; Mathematical models.; Numerical Analysis.; Computational Science and Engineering.; Mathematical Modeling and Industrial Mathematics.; Applications of Mathematics.

The subject of the book is the mathematical theory of the discontinuous Galerkin method (DGM), which is a relatively new technique for the numerical solution of partial differential equations. The book is concerned with the DGM developed for elliptic and parabolic equations and its applications to t...

Table of Contents:

• Introduction
• Part I: Analysis of the discontinuous Galerkin method
• DGM for elliptic problems
• Methods based on a mixed formulation
• DGM for convection-diffusion problems
• Space-time discretization by multi-step methods
• Space-time discontinuous Galerkin method 
• Generalization of the DGM
• Part II:  Applications of the discontinuous Galerkin method
• Inviscid compressible flow
• Viscous compressible flow
• Fluid-structure interaction
• References
• Index.  .