Discontinuous Galerkin Method - Analysis and Applications to Compressible Flow - Věda

Discontinuous Galerkin Method - Analysis and Applications to Compressible Flow

ID: 2691, RIV: 10297842
ISSN: neuvedeno, ISBN: 978-3-319-19266-6
klíčová slova: Discontinuous Galerkin Method; Analysis; Applications; Compressible Flow
autoři: Vít Dolejší, Miloslav Feistauer
autoři z KNM: Dolejší Vít, Feistauer Miloslav

Abstrakt

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.