Ebook: 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

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 in a symposium at 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 readers 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.

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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 in a symposium at 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 readers 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.

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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 in a symposium at 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 readers 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.
Content:
Front Matter....Pages I-VIII
Nonlinear Shell Models of Koiter’s Type....Pages 1-9
A Survey of Stabilized Plate Elements....Pages 11-21
Prediction of the Fatigue Crack Growth Life in Microelectronics Solder Joints....Pages 23-38
Multi-phase Flow with Reaction....Pages 39-56
Universal and Simultaneous Solution of Solid, Liquid and Gas in Cartesian-Grid-Based CIP Method....Pages 57-71
Subgrid Phenomena and Numerical Schemes....Pages 73-89
Two Scale FEM for Homogenization Problems....Pages 91-107
Numerical Analysis of Electromagnetic Problems....Pages 109-124
A-priori Domain Decomposition of PDE Systems and Applications....Pages 125-135
A One Dimensional Model for Blood Flow: Application to Vascular Prosthesis....Pages 137-153
Essential Spectrum and Mixed Type Finite Element Method....Pages 155-167
Can We Trust the Computational Analysis of Engineering Problems?....Pages 169-183
Numerical Computations for Ill-conditioned Problems by Multiple-Precision Systems....Pages 185-194
Numerical Verification Methods for Solutions of Free Boundary Problems....Pages 195-208
Pattern Formation of Heat Convection Problems....Pages 209-218
Mathematical Modeling and Numerical Simulation of Earth’s Mantle Convection....Pages 219-231
Theoretical and Numerical Analysis on 3-Dimensional Brittle Fracture....Pages 233-251
Exploiting Partial or Complete Geometrical Symmetry in Boundary Integral Equation Formulations of Elastodynamic Problems....Pages 253-269
A New Fast Multipole Boundary Integral Equation Method in Elastostatic Crack Problems in 3D....Pages 271-287
Computational Crack Path Prediction and the Singularities in Elastic-Plastic Stress Fields....Pages 289-301
Back Matter....Pages 303-306

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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 in a symposium at 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 readers 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.
Content:
Front Matter....Pages I-VIII
Nonlinear Shell Models of Koiter’s Type....Pages 1-9
A Survey of Stabilized Plate Elements....Pages 11-21
Prediction of the Fatigue Crack Growth Life in Microelectronics Solder Joints....Pages 23-38
Multi-phase Flow with Reaction....Pages 39-56
Universal and Simultaneous Solution of Solid, Liquid and Gas in Cartesian-Grid-Based CIP Method....Pages 57-71
Subgrid Phenomena and Numerical Schemes....Pages 73-89
Two Scale FEM for Homogenization Problems....Pages 91-107
Numerical Analysis of Electromagnetic Problems....Pages 109-124
A-priori Domain Decomposition of PDE Systems and Applications....Pages 125-135
A One Dimensional Model for Blood Flow: Application to Vascular Prosthesis....Pages 137-153
Essential Spectrum and Mixed Type Finite Element Method....Pages 155-167
Can We Trust the Computational Analysis of Engineering Problems?....Pages 169-183
Numerical Computations for Ill-conditioned Problems by Multiple-Precision Systems....Pages 185-194
Numerical Verification Methods for Solutions of Free Boundary Problems....Pages 195-208
Pattern Formation of Heat Convection Problems....Pages 209-218
Mathematical Modeling and Numerical Simulation of Earth’s Mantle Convection....Pages 219-231
Theoretical and Numerical Analysis on 3-Dimensional Brittle Fracture....Pages 233-251
Exploiting Partial or Complete Geometrical Symmetry in Boundary Integral Equation Formulations of Elastodynamic Problems....Pages 253-269
A New Fast Multipole Boundary Integral Equation Method in Elastostatic Crack Problems in 3D....Pages 271-287
Computational Crack Path Prediction and the Singularities in Elastic-Plastic Stress Fields....Pages 289-301
Back Matter....Pages 303-306
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