Mathematical Modeling and Numerical Simulation in Continuum Mechanics

by International Symposium on Mathematical Modeling and Numerical Simulation in Continuum Mechanics (2000 : Yamaguchi-ken, Japan)

• ISBN13: 9783540423997
• ISBN10: 3540423990
• Format: Paperback
• Copyright: 2002-01-01
• Publisher: Springer Verlag

Summary

This book shows the latest frontiers of the research by the most active researchers in the field of numerical mathematics. The papers in the book were presented at a symposium held in Yamaguchi, Japan. The subject of the symposium was mathematical modeling and numerical simulation in continuum mechanics. The topics of the lectures ranged from solids to fluids and included both mathematical and computational analysis of phenomena and algorithms. The reader can study the latest results on shells, plates, flows in various situations, fracture of solids, new ways of exact error estimates and many other topics.

Table of Contents

Nonlinear Shell Models of Koiter's Type	1	(10)
Philippe G. Ciarlet
A Survey of Stabilized Plate Elements	11	(12)
Mikko Lyly
Rolf Stenberg
Prediction of the Fatigue Crack Growth Life in Microelectronics Solder Joints	23	(16)
Ken Kaminishi
Multi-phase Flow with Reaction	39	(18)
Hideo Kawarada
Hiroshi Suito
Universal and Simultaneous Solution of Solid, Liquid and Gas in Cartesian-Grid-Based CIP Method	57	(16)
Takashi Yabe
Subgrid Phenomena and Numerical Schemes	73	(18)
Franco Brezzi
Donatella Marini
Two Scale FEM for Homogenization Problems	91	(18)
Christoph Schwab
Numerical Analysis of Electromagnetic Problems	109	(16)
Fumio Kikuchi
A-priori Domain Decomposition of PDE Systems and Applications	125	(12)
S. Delpino
J.L. Lions
O. Pironneau
A One Dimensional Model for Blood Flow: Application to Vascular Prosthesis	137	(18)
Luca Formaggia
Fabio Nobile
Alfio Quarteroni
Essential Spectrum and Mixed Type Finite Element Method	155	(14)
Takashi Kako
Haniffa Mohamed Nasir
Can We Trust the Computational Analysis of Engineering Problems?	169	(16)
I. Babuska
T. Strouboulis
Numerical Computations for III-conditioned Problems by Multiple-Precision Systems	185	(10)
Yuusuke Iso
Hiroshi Fujiwara
Kimihiro Saito
Numerical Verification Methods for Solutions of Free Boundary Problems	195	(14)
Mitsuhiro T. Nakao
Cheon Seoung Ryoo
Pattern Formation of Heat Convection Problems	209	(10)
Takaaki Nishida
Tsutomu Ikeda
Hideaki Yoshihara
Mathematical Modeling and Numerical Simulation of Earth's Mantle Convection	219	(14)
Masahisa Tabata
Atsushi Suzuki
Theoretical and Numerical Analysis on 3-Dimensional Brittle Fracture	233	(20)
Kohji Ohtsuka
Exploiting Partial or Complete Geometrical Symmetry in Boundary Integral Equation Formulations of Elastodynamic Problems	253	(18)
Marc Bonnet
A New Fast Multipole Boundary Integral Equation Method in Elastostatic Crack Problems in 3D	271	(18)
Ken-ichi Yoshida
Naoshi Nishimura
Shoichi Kobayashi
Computational Crack Path Prediction and the Singularities in Elastic-Plastic Stress Fields	289
Tetsuhiko Miyoshi