Lecture Notes in Computational Science and Engineering

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)

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Paperback | 20 November 2001

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324 Pages

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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.

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You Can Find This Book In

Non-Fiction Science Physics Classical Mathematics Medicine Medicine in General Computing & I.T.Computer Science Mathematical Theory of Computation Mathematics Calculus & Mathematical Analysis Numerical Analysis

Artificial Intelligence Engineering & Technology Technology in General Engineering in General Electronics & Communications Engineering Electronics Engineering

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

Lecture Notes in Computational Science and Engineering

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

At a Glance

Paperback

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How to return your order

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