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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Détails bibliographiques
Cote:Libro Electrónico
Auteurs principaux: Dolejší, Vít (Auteur), Feistauer, Miloslav (Auteur)
Collectivité auteur: SpringerLink (Online service)
Format: Électronique eBook
Langue:Inglés
Publié: Cham : Springer International Publishing : Imprint: Springer, 2015.
Édition:1st ed. 2015.
Collection:Springer Series in Computational Mathematics, 48
Sujets:
Numerical analysis.
Mathematics-Data processing.
Mathematical models.
Mathematics.
Numerical Analysis.
Computational Science and Engineering.
Mathematical Modeling and Industrial Mathematics.
Applications of Mathematics.
Accès en ligne:Texto Completo
Table des matières:
  • 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.  .

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