Adaptive Mesh Refinement - Theory and Applications

Proceedings of the Chicago Workshop on Adaptive Mesh Refinement Methods, Sept. 3–5, 2003

  • Tomasz Plewa
  • Timur Linde
  • V. Gregory Weirs

Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 41)

Table of contents

  1. Front Matter
    Pages I-XIV
  2. Scientific Computing

  3. Methods

    1. William D. Henshaw
      Pages 59-71
    2. R. W. Anderson, R. B. Pember, N. S. Elliott
      Pages 73-81
    3. Zhiliang Xu, James Glimm, Xiaolin Li
      Pages 83-89
    4. D. Calhoun, R. J. LeVeque
      Pages 91-101
    5. Kai Germaschewski, Amitava Bhattacharjee, Rainer Grauer, David Keyes, Barry Smith
      Pages 115-124
    6. Guillaume Chiavassa, Rosa Donat, Siegfried Müller
      Pages 137-159
    7. Aimé Fournier, Gregory Beylkin, Vani Cheruvu
      Pages 161-170
    8. Stefano Micheletti, Simona Perotto
      Pages 171-182
    9. John Bell
      Pages 203-221
    10. J. Bergmans, R. Keppens, D. E. A. van Odyck, A. Achterberg
      Pages 223-233
    11. S. A. E. G. Falle
      Pages 235-253
    12. P. Velarde, F. Ogando
      Pages 271-280
  4. Software

About these proceedings


Advanced numerical simulations that use adaptive mesh refinement (AMR) methods have now become routine in engineering and science. Originally developed for computational fluid dynamics applications these methods have propagated to fields as diverse as astrophysics, climate modeling, combustion, biophysics and many others. The underlying physical models and equations used in these disciplines are rather different, yet algorithmic and implementation issues facing practitioners are often remarkably similar. Unfortunately, there has been little effort to review the advances and outstanding issues of adaptive mesh refinement methods across such a variety of fields. This book attempts to bridge this gap. The book presents a collection of papers by experts in the field of AMR who analyze past advances in the field and evaluate the current state of adaptive mesh refinement methods in scientific computing.


AMR Adaptive Mesh Refinement CFD Computational Physics Numerical Methods algorithms modeling scientific computing

Editors and affiliations

  • Tomasz Plewa
    • 1
  • Timur Linde
    • 1
  • V. Gregory Weirs
    • 1
  1. 1.ASCI Flash Center Department of Astronomy and AstrophysicsUniversity of ChicagoChicagoUSA

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2005
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-540-21147-1
  • Online ISBN 978-3-540-27039-3
  • Series Print ISSN 1439-7358
  • About this book
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