Scalable Algorithms for Contact Problems

This book presents a comprehensive and self-contained treatment of the authors' newly developed scalable algorithms for the solutions of multibody contact problems of linear elasticity. The brand new feature of these algorithms is theoretically supported numerical scalability and parallel scala...

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Bibliographic Details
Main Authors: Dostal, Zdenek, Kozubek, Tomas, Sadowska, Marie, Vondrak, Vit
Format: eBook
Language:English
Published: New York, NY Springer Nature 2017
Springer New York
Springer
Edition:1
Series:Advances in Mechanics and Mathematics
Subjects:
Algorithms
Computational Mathematics and Numerical Analysis
Computer science
Contact mechanics
Mathematical and Computational Engineering
Mathematics
Mathematics and Statistics
Mathematics of Computing
Numerical analysis
ISBN:9781493968343, 1493968343, 9781493968329, 1493968327
ISSN:1571-8689, 1876-9896
Online Access:Get full text
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Summary:This book presents a comprehensive and self-contained treatment of the authors' newly developed scalable algorithms for the solutions of multibody contact problems of linear elasticity. The brand new feature of these algorithms is theoretically supported numerical scalability and parallel scalability demonstrated on problems discretized by billions of degrees of freedom. The theory supports solving multibody frictionless contact problems, contact problems with possibly orthotropic Tresca's friction, and transient contact problems. It covers BEM discretization, jumping coefficients, floating bodies, mortar non-penetration conditions, etc. The exposition is divided into four parts, the first of which reviews appropriate facets of linear algebra, optimization, and analysis. The most important algorithms and optimality results are presented in the third part of the volume. The presentation is complete, including continuous formulation, discretization, decomposition, optimality results, and numerical experiments. The final part includes extensions to contact shape optimization, plasticity, and HPC implementation. Graduate students and researchers in mechanical engineering, computational engineering, and applied mathematics, will find this book of great value and interest.
ISBN:9781493968343
1493968343
9781493968329
1493968327
ISSN:1571-8689
1876-9896
DOI:10.1007/978-1-4939-6834-3