Discontinuous Galerkin Methods

Theory, Computation and Applications

  • Bernardo Cockburn
  • George E. Karniadakis
  • Chi-Wang Shu

Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 11)

Table of contents

  1. Front Matter
    Pages I-XI
  2. Overview

    1. Front Matter
      Pages 1-1
    2. Bernardo Cockburn, George E. Karniadakis, Chi-Wang Shu
      Pages 3-50
  3. Invited Papers

    1. Front Matter
      Pages 51-51
    2. Douglas N. Arnold, Franco Brezzi, Bernardo Cockburn, Donatella Marini
      Pages 89-101
    3. J. E. Flaherty, R. M. Loy, M. S. Shephard, J. D. Teresco
      Pages 113-123
    4. Pierre A. Gremaud, John V. Matthews
      Pages 125-134
    5. Ohannes Karakashian, Theodoros Katsaounis
      Pages 157-166
    6. J. Tinsley Oden, Carlos Erik Baumann
      Pages 179-196
    7. Richard S. Falk, Gerard R. Richter
      Pages 209-219
    8. Endre Süli, Christoph Schwab, Paul Houston
      Pages 221-230
    9. Béatrice Rivière, Mary F. Wheeler
      Pages 231-244

About these proceedings


This volume contains current progress of a new class of finite element method, the Discontinuous Galerkin Method (DGM), which has been under rapid developments recently and has found its use very quickly in such diverse applications as aeroacoustics, semi-conductor device simulation, turbomachinery, turbulent flows, materials processing, Magneto-hydro-dynamics, plasma simulations and image processing. While there has been a lot of interest from mathematicians, physicists and engineers in DGM, only scattered information is available and there has been no prior effect in organizing and publishing the existing volume of knowledge on this subject. The current volume organizes this knowledge and it covers both theoretical as well as practical issues of the Discontinuous Galerkin method.


Approximation conservation laws discontinuous approximation finite elements finite volume image processing knowledge simulation

Editors and affiliations

  • Bernardo Cockburn
    • 1
  • George E. Karniadakis
    • 2
  • Chi-Wang Shu
    • 2
  1. 1.School of MathematicsUniversity of MinnesotaMinneapolisUSA
  2. 2.Division of Applied MathematicsBrown UniversityProvidenceUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-59721-3
  • Copyright Information Springer-Verlag Berlin Heidelberg 2000
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-64098-8
  • Online ISBN 978-3-642-59721-3
  • Series Print ISSN 1439-7358
  • About this book