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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 - Ivo Babuska

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

By: Ivo Babuska (Editor), Philippe G. Ciarlet (Editor), Tetsuhiko Miyoshi (Editor)

Paperback

Published: 20th November 2001
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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.

Nonlinear Shell Models of KoiterÆs Typep. 1
A Survey of Stabilized Plate Elementsp. 11
Prediction of the Fatigue Crack Growth Life in Microelectronics Solder Jointsp. 23
Multi-phase Flow with Reactionp. 39
Universal and Simultaneous Solution of Solid, Liquid and Gas in Cartesian-Grid-Based CIP Methodp. 57
Subgrid Phenomena and Numerical Schemesp. 73
Two Scale FEM for Homogenization Problemsp. 91
Numerical Analysis of Electromagnetic Problemsp. 109
A-priori Domain Decomposition of PDE Systems and Applicationsp. 125
A One Dimensional Model for Blood Flow: Application to Vascular Prosthesisp. 137
Essential Spectrum and Mixed Type Finite Element Methodp. 155
Can We Trust the Computational Analysis of Engineering Problems?p. 169
Numerical Computations for Ill-conditioned Problems by Multiple-Precision Systemsp. 185
Numerical Verification Methods for Solutions of Free Boundary Problemsp. 195
Pattern Formation of Heat Convection Problemsp. 209
Mathematical Modeling and Numerical Simulation of EarthÆs Mantle Convectionp. 219
Theoretical and Numerical Analysis on 3-Dimensional Brittle Fracturep. 233
Exploiting Partial or Complete Geometrical Symmetry in Boundary Integral Equation Formulations of Elastodynamic Problemsp. 253
A New Fast Multipole Boundary Integral Equation Method in Elastostatic Crack Problems in 3Dp. 271
Computational Crack Path Prediction and the Singularities in Elastic-Plastic Stress Fieldsp. 289
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9783540423997
ISBN-10: 3540423990
Series: Lecture Notes in Computational Science and Engineering
Audience: General
Format: Paperback
Language: English
Number Of Pages: 306
Published: 20th November 2001
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.5 x 15.24  x 1.91
Weight (kg): 0.5