KNM MFF UK

Department of Numerical Mathematics Faculty of Mathematics and Physics Charles University

Discontinuous Galerkin Method - Analysis and Applications to Compressible Flow

  • ID: 2691, RIV: 10297842
  • ISSN: not specified, ISBN: 978-3-319-19266-6
  • keywords: Discontinuous Galerkin Method; Analysis; Applications; Compressible Flow
  • authors: Vít Dolejší, Miloslav Feistauer
  • authors from KNM: Dolejší Vít, Feistauer Miloslav

Abstract

This book is devoted to the theory and applications of the discontinuous Galerkin method. The first part of this book deals with theoretical aspects of the discontinuous Galerkin (DG) method applied to the numerical solution of scalar nonlinear convection-diffusion problems. Scalar equations serve as models for several applications treated in the second part of the book. Our aim is to present the DG discretization of model problems and to derive (a priori) error estimates. Theoretical results are supported by numerical experiments demonstrating the accuracy of the DG methods.