Advertisement

Discontinuous Galerkin Method

Analysis and Applications to Compressible Flow

  • Vít Dolejší
  • Miloslav Feistauer

Part of the Springer Series in Computational Mathematics book series (SSCM, volume 48)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Vít Dolejší, Miloslav Feistauer
    Pages 1-23
  3. Analysis of the Discontinuous Galerkin Method

    1. Front Matter
      Pages 25-25
    2. Vít Dolejší, Miloslav Feistauer
      Pages 27-84
    3. Vít Dolejší, Miloslav Feistauer
      Pages 85-115
    4. Vít Dolejší, Miloslav Feistauer
      Pages 117-169
    5. Vít Dolejší, Miloslav Feistauer
      Pages 171-222
    6. Vít Dolejší, Miloslav Feistauer
      Pages 223-335
    7. Vít Dolejší, Miloslav Feistauer
      Pages 337-397
  4. Applications of the Discontinuous Galerkin Method

    1. Front Matter
      Pages 399-399
    2. Vít Dolejší, Miloslav Feistauer
      Pages 401-475
    3. Vít Dolejší, Miloslav Feistauer
      Pages 477-519
    4. Vít Dolejší, Miloslav Feistauer
      Pages 521-551
  5. Back Matter
    Pages 553-572

About this book

Introduction

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 the numerical simulation of compressible flow. It deals with the theoretical as well as practical aspects of the DGM and treats the basic concepts and ideas of the DGM, as well as the latest significant findings and achievements in this area. The main benefit for readers and the book’s uniqueness lie in the fact that it is sufficiently detailed, extensive and mathematically precise, while at the same time providing a comprehensible guide through a wide spectrum of discontinuous Galerkin techniques and a survey of the latest efficient, accurate and robust discontinuous Galerkin schemes for the solution of compressible flow.

Keywords

Discontinuous Galerkin method convection-diffusion problems finite element method numerical solution of compressible flow numerics for partial differential equations

Authors and affiliations

  • Vít Dolejší
    • 1
  • Miloslav Feistauer
    • 2
  1. 1.Faculty of Mathematics and PhysicsCharles University in PraguePraha 8Czech Republic
  2. 2.Faculty of Mathematics and PhysicsCharles University in PraguePraha 8Czech Republic

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-19267-3
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-19266-6
  • Online ISBN 978-3-319-19267-3
  • Series Print ISSN 0179-3632
  • Series Online ISSN 2198-3712
  • Buy this book on publisher's site