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Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations

  • Conference proceedings
  • © 1995

Overview

Editors:
  1. Ivo Babuska

    1. Institute for Physical Science and Technology, University of Maryland, College park, USA

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  2. William D. Henshaw

    1. CIC-3 MS K987 Los Alamos National Laboratory, Los Alamos, USA

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  3. Joseph E. Oliger

    1. Research Institute for Advanced Computer Science, NASA Ames Research Center, Moffet Field, USA

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  4. Joseph E. Flaherty

    1. Department of Science and Scientific Computation Research Ctr, Rensselaer Polytechnic Institute, Troy, USA

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  5. John E. Hopcroft

    1. College of Engineering, Joseph Silbert Dean of Engineering Cornell University Cornell University, Ithaca, USA

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  6. Tayfun Tezduyar

    1. Army High Performance Computing Research Center, Minneapolis, USA

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Part of the book series: The IMA Volumes in Mathematics and its Applications (IMA, volume 75)

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Table of contents (21 papers)

  1. Front Matter

    Pages i-li
    Download chapter PDF

  2. Week 1

    1. NURBS and Grid Generation

      • Robert E. Barnhill, Gerald Farin, Bernd Hamann
      Pages 1-21

    2. Coping with Degeneracies in Delaunay Triangulation

      • Isabel Beichl, Francis Sullivan
      Pages 23-30

    3. Geometric Approaches to Mesh Generation

      • Christoph M. Hoffmann
      Pages 31-51

    4. Refining Quadrilateral and Brick Element Meshes

      • Robert Schneiders, Jürgen Debye
      Pages 53-65

    5. Automatic Meshing of Curved Three—Dimensional Domains: Curving Finite Elements and Curvature-Based Mesh Control

      • Mark S. Shephard, Saikat Dey, Marcel K. Georges
      Pages 67-96

  3. Week 2

    1. Optimization of Tetrahedral Meshes

      • Eric Brière de L’isle, Paul Louis George
      Pages 97-127

    2. A Class of Error Estimators Based on Interpolating the Finite Element Solutions for Reaction-Diffusion Equations

      • Tao Lin, Hong Wang
      Pages 129-151

    3. Accuracy-Based Time Step Criteria for Solving Parabolic Equations

      • Rabi Mohtar, Larry Segerlind
      Pages 153-163

  4. Week 3

    1. Adaptive Domain Decomposition Methods for Advection-Diffusion Problems

      • Claudio Carlenzoli, Alfio Quarteroni
      Pages 165-186

    2. L P-Posteriori Error Analysis of Mixed Methods for Linear and Quasilinear Elliptic Problems

      • Zhangxin Chen
      Pages 187-199

    3. A Characteristic-Galerkin Method for the Navier-Stokes Equations in Thin Domains with Free Boundaries

      • Giovanni M. Cornetti
      Pages 201-213

    4. Parallel Partitioning Strategies for the Adaptive Solution of Conservation Laws

      • Karen D. Devine, Joseph E. Flaherty, Raymond M. Loy, Stephen R. Wheat
      Pages 215-242

    5. Adaptive Multi-Grid Method for a Periodic Heterogeneous Medium in 1 − D

      • Jacob Fish, Vladimir Belsky
      Pages 243-265

    6. A Knowledge-Based Approach to the Adaptive Finite Element Analysis

      • Kamyar Haghighi, Eun Kang
      Pages 267-276

    7. An Asymptotically Exact, Pointwise, A Posteriori Error Estimator for the Finite Element Method with Super Convergence Properties

      • Jens Hugger
      Pages 277-305

    8. A Mesh-Adaptive Collocation Technique for the Simulation of Advection-Dominated Single- and Multiphase Transport Phenomena in Porous Media

      • Manfred Koch
      Pages 307-346

    9. Three-Step H-P Adaptive Strategy for the Incompressible Navier-Stokes Equations

      • J. Tinsley Oden, Weihan Wu, Mark Ainsworth
      Pages 347-366

    10. Applications of Automatic Mesh Generation and Adaptive Methods in Computational Medicine

      • J. A. Schmidt, C. R. Johnson, J. C. Eason, R. S. Macleod
      Pages 367-393

    11. Solution of Elastic-Plastic Stress Analysis Problems by the P-version of the Finite Element Method

      • Barna A. Szabó, Ricardo L. Actis, Stefan M. Holzer
      Pages 395-416
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Keywords

Editors and Affiliations

  • Institute for Physical Science and Technology, University of Maryland, College park, USA

    Ivo Babuska

  • CIC-3 MS K987 Los Alamos National Laboratory, Los Alamos, USA

    William D. Henshaw

  • Research Institute for Advanced Computer Science, NASA Ames Research Center, Moffet Field, USA

    Joseph E. Oliger

  • Department of Science and Scientific Computation Research Ctr, Rensselaer Polytechnic Institute, Troy, USA

    Joseph E. Flaherty

  • College of Engineering, Joseph Silbert Dean of Engineering Cornell University Cornell University, Ithaca, USA

    John E. Hopcroft

  • Army High Performance Computing Research Center, Minneapolis, USA

    Tayfun Tezduyar

Bibliographic Information

  • Book Title: Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations

  • Editors: Ivo Babuska, William D. Henshaw, Joseph E. Oliger, Joseph E. Flaherty, John E. Hopcroft, Tayfun Tezduyar

  • Series Title: The IMA Volumes in Mathematics and its Applications

  • DOI: https://doi.org/10.1007/978-1-4612-4248-2

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York 1995

  • Hardcover ISBN: 978-0-387-94542-2Published: 14 July 1995

  • Softcover ISBN: 978-1-4612-8707-0Published: 21 November 2011

  • eBook ISBN: 978-1-4612-4248-2Published: 06 December 2012

  • Series ISSN: 0940-6573

  • Series E-ISSN: 2198-3224

  • Edition Number: 1

  • Number of Pages: LII, 450

  • Topics: Analysis

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