Discontinuous Galerkin Method Analysis and Applications to Compressible Flow

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...

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Bibliographic Details
Main Authors: Dolejší, Vít, Feistauer, Miloslav (Author)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2015, 2015
Edition:1st ed. 2015
Series:Springer Series in Computational Mathematics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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.