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Grid Generation and Adaptive Algorithms

  • Book
  • © 1999

Overview

Editors:
  1. Marshall W. Bern

    1. Xerox Palo Alto Research Center, Palo Alto, USA

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  2. Joseph E. Flaherty

    1. Scientific Computation Research Center, Rensselaer Polytechnic Institute, Troy, USA

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    You can also search for this editor in PubMed   Google Scholar

  3. Mitchell Luskin

    1. School of Mathematics, University of Minnesota, Minneapolis, USA

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Part of the book series: The IMA Volumes in Mathematics and its Applications (IMA, volume 113)

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-ix
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  2. hp-Finite Element Procedures on Non-Uniform Geometric Meshes: Adaptivity and Constrained Approximation

    • Mark Ainsworth, Bill Senior
    Pages 1-27

  3. Tetrahedral Bisection and Adaptive Finite Elements

    • Douglas N. Arnold, Arup Mukherjee
    Pages 29-42

  4. Resolution of Boundary Layers on Triangular Meshes

    • Timothy J. Baker
    Pages 43-49

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

    • Roland Becker, Rolf Rannacher
    Pages 51-75

  6. A Solution Based H 1 Norm Triangular Mesh Quality Indicator

    • M. Berzins
    Pages 77-88

  7. Experiments with Repartitioning and Load Balancing Adaptive Meshes

    • Rupak Biswas, Leonid Oliker
    Pages 89-111

  8. Distributed Octree Data Structures and Local Refinement Method for the Parallel Solution of Three-Dimensional Conservation Laws

    • J. E. Flaherty, R. M. Loy, M. S. Shephard, M. L. Simone, B. K. Szymanski, J. D. Teresco et al.
    Pages 113-134

  9. Adaptive Finite Element Methods for Elastostatic Contact Problems

    • Peter Hansbo, Claes Johnson
    Pages 135-149

  10. The Full Domain Partition Approach to Parallel Adaptive Refinement

    • William F. Mitchell
    Pages 151-161

  11. Adaptive Solution of Phase Change Problems Over Unstructured Tetrahedral Meshes

    • R. H. Nochetto, A. Schmidt, C. Verdi
    Pages 163-181

  12. Back Matter

    Pages 182-189
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Keywords

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.

Editors and Affiliations

  • Xerox Palo Alto Research Center, Palo Alto, USA

    Marshall W. Bern

  • Scientific Computation Research Center, Rensselaer Polytechnic Institute, Troy, USA

    Joseph E. Flaherty

  • School of Mathematics, University of Minnesota, Minneapolis, USA

    Mitchell Luskin

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

  • DOI: https://doi.org/10.1007/978-1-4612-1556-1

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1999

  • Hardcover ISBN: 978-0-387-98858-0Published: 18 June 1999

  • Softcover ISBN: 978-1-4612-7191-8Published: 24 October 2012

  • eBook ISBN: 978-1-4612-1556-1Published: 06 December 2012

  • Series ISSN: 0940-6573

  • Series E-ISSN: 2198-3224

  • Edition Number: 1

  • Number of Pages: IX, 189

  • Topics: Combinatorics, Algorithm Analysis and Problem Complexity

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