The IMA Volumes in Mathematics and its Applications

Grid Generation and Adaptive Algorithms

Editors: Bern, Marshall W., Flaherty, Joseph E., Luskin, Mitchell (Eds.)

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About this book

This IMA Volume in Mathematics and its Applications GRID GENERATION AND ADAPTIVE ALGORITHMS is based on the proceedings of a workshop with the same title. The work­ shop was an integral part of the 1996-97 IMA program on "MATHEMAT­ ICS IN HIGH-PERFORMANCE COMPUTING. " I would like to thank Marshall Bern (Xerox, Palo Alto Research Cen­ ter), Joseph E. Flaherty (Department of Computer Science, Rensselaer Polytechnic Institute), and Mitchell Luskin (School of Mathematics, Uni­ versity of Minnesota), for their excellent work as organizers of the meeting and for editing the proceedings. I also take this opportunity to thank the National Science Founda­ tion (NSF), Department of Energy (DOE), and the Army Research Office (ARO), whose financial support made the workshop possible. Willard Miller, Jr. , Professor and Director v PREFACE Scientific and engineering computation has become so complex that traditional numerical computation on uniform meshes is generally not pos­ sible or too expensive. Mesh generation must reflect both the domain geometry and the expected solution characteristics. Meshes should, fur­ thermore, be related to the solution through computable estimates of dis­ cretization errors. This, suggests an automatic and adaptive process where an initial mesh is enriched with the goal of computing a solution with prescribed accuracy specifications in an optimal manner. While automatic mesh generation procedures and adaptive strategies are becoming available, major computational challenges remain. Three-dimensional mesh genera­ tion is still far from automatic.

Table of contents (10 chapters)

  • hp-Finite Element Procedures on Non-Uniform Geometric Meshes: Adaptivity and Constrained Approximation

    Ainsworth, Mark (et al.)

    Pages 1-27

  • Tetrahedral Bisection and Adaptive Finite Elements

    Arnold, Douglas N. (et al.)

    Pages 29-42

  • Resolution of Boundary Layers on Triangular Meshes

    Baker, Timothy J.

    Pages 43-49

  • A General Concept of Adaptivity in Finite Element Methods with Applications to Problems in Fluid and Structural Mechanics

    Becker, Roland (et al.)

    Pages 51-75

  • A Solution Based H 1 Norm Triangular Mesh Quality Indicator

    Berzins, M.

    Pages 77-88

Buy this book

eBook $69.99
price for USA in USD (gross)
  • ISBN 978-1-4612-1556-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $89.99
price for USA in USD
  • ISBN 978-1-4612-7191-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Grid Generation and Adaptive Algorithms
Editors
  • Marshall W. Bern
  • Joseph E. Flaherty
  • Mitchell Luskin
Series Title
The IMA Volumes in Mathematics and its Applications
Series Volume
113
Copyright
1999
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4612-1556-1
DOI
10.1007/978-1-4612-1556-1
Softcover ISBN
978-1-4612-7191-8
Series ISSN
0940-6573
Edition Number
1
Number of Pages
IX, 189
Topics