Skip to main content
SpringerLink
Log in

Mathematical Modeling and Numerical Simulation in Continuum Mechanics

Proceedings of the International Symposium on Mathematical Modeling and Numerical Simulation in Continuum Mechanics, September 29 – October 3, 2000 Yamaguchi, Japan

  • Conference proceedings
  • © 2002

Overview

Editors:
  1. Ivo Babuška

    1. Department of Aerospace Engineering & Engineering Mechanics, The University of Texas at Austin, Austin, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Philippe G. Ciarlet

    1. Laboratoire d’Analyse Numérique, Université Pierre et Marie Curie, Paris cedex 05, France

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  3. Tetsuhiko Miyoshi

    1. Department of Mathematical Sciences, Faculty of Science, Yamaguchi University, Yamaguchi, Japan

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • One of the first CSE books arising from Japan
  • Includes supplementary material: sn.pub/extras

Part of the book series: Lecture Notes in Computational Science and Engineering (LNCSE, volume 19)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (20 papers)

  1. Front Matter

    Pages I-VIII
    Download chapter PDF

  2. Nonlinear Shell Models of Koiter’s Type

    • Philippe G. Ciarlet
    Pages 1-9

  3. A Survey of Stabilized Plate Elements

    • Mikko Lyly, Rolf Stenberg
    Pages 11-21

  4. Prediction of the Fatigue Crack Growth Life in Microelectronics Solder Joints

    • Ken Kaminishi
    Pages 23-38

  5. Multi-phase Flow with Reaction

    • Hideo Kawarada, Hiroshi Suito
    Pages 39-56

  6. Universal and Simultaneous Solution of Solid, Liquid and Gas in Cartesian-Grid-Based CIP Method

    • Takashi Yabe
    Pages 57-71

  7. Subgrid Phenomena and Numerical Schemes

    • Franco Brezzi, Donatella Marini
    Pages 73-89

  8. Two Scale FEM for Homogenization Problems

    • Christoph Schwab
    Pages 91-107

  9. Numerical Analysis of Electromagnetic Problems

    • Fumio Kikuchi
    Pages 109-124

  10. A-priori Domain Decomposition of PDE Systems and Applications

    • S. Delpino, J. L. Lions, O. Pironneau
    Pages 125-135

  11. A One Dimensional Model for Blood Flow: Application to Vascular Prosthesis

    • Luca Formaggia, Fabio Nobile, Alfio Quarteroni
    Pages 137-153

  12. Essential Spectrum and Mixed Type Finite Element Method

    • Takashi Kako, Haniffa M. Nasir
    Pages 155-167

  13. Can We Trust the Computational Analysis of Engineering Problems?

    • I. Babuška, T. Strouboulis
    Pages 169-183

  14. Numerical Computations for Ill-conditioned Problems by Multiple-Precision Systems

    • Yuusuke Iso, Hiroshi Fujiwara, Kimihiro Saito
    Pages 185-194

  15. Numerical Verification Methods for Solutions of Free Boundary Problems

    • Mitsuhiro T. Nakao, Cheon Seoung Ryoo
    Pages 195-208

  16. Pattern Formation of Heat Convection Problems

    • Takaaki Nishida, Tsutomu Ikeda, Hideaki Yoshihara
    Pages 209-218

  17. Mathematical Modeling and Numerical Simulation of Earth’s Mantle Convection

    • Masahisa Tabata, Atsushi Suzuki
    Pages 219-231

  18. Theoretical and Numerical Analysis on 3-Dimensional Brittle Fracture

    • Kohji Ohtsuka
    Pages 233-251

  19. Exploiting Partial or Complete Geometrical Symmetry in Boundary Integral Equation Formulations of Elastodynamic Problems

    • Marc Bonnet
    Pages 253-269

  20. A New Fast Multipole Boundary Integral Equation Method in Elastostatic Crack Problems in 3D

    • Ken-ichi Yoshida, Naoshi Nishimura, Shoichi Kobayashi
    Pages 271-287
Back to top

Keywords

About this book

The first international symposium on mathematical foundations of the finite element method was held at the University of Maryland in 1973. During the last three decades there has been great progress in the theory and practice of solving partial differential equations, and research has extended in various directions. Full-scale nonlinear problems have come within the range of nu­ merical simulation. The importance of mathematical modeling and analysis in science and engineering is steadily increasing. In addition, new possibili­ ties of analysing the reliability of computations have appeared. Many other developments have occurred: these are only the most noteworthy. This book is the record of the proceedings of the International Sympo­ sium on Mathematical Modeling and Numerical Simulation in Continuum Mechanics, held in Yamaguchi, Japan from 29 September to 3 October 2000. The topics covered by the symposium ranged from solids to fluids, and in­ cluded both mathematical and computational analysis of phenomena and algorithms. Twenty-one invited talks were delivered at the symposium. This volume includes almost all of them, and expresses aspects of the progress mentioned above. All the papers were individually refereed. We hope that this volume will be a stepping-stone for further developments in this field.

Editors and Affiliations

  • Department of Aerospace Engineering & Engineering Mechanics, The University of Texas at Austin, Austin, USA

    Ivo Babuška

  • Laboratoire d’Analyse Numérique, Université Pierre et Marie Curie, Paris cedex 05, France

    Philippe G. Ciarlet

  • Department of Mathematical Sciences, Faculty of Science, Yamaguchi University, Yamaguchi, Japan

    Tetsuhiko Miyoshi

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation