Scalable Algorithms for Contact Problems
Authors: Dostál, Z., Kozubek, T., Sadowska, M., Vondrák, V.
Free Preview- This is the first monograph on theoretically supported scalable algorithms for contact problems
- Exposition neatly presents efficient domain decomposition methods and a comprehensive description of parallel implementation
- Describes finite and boundary element domain decomposition methods in a unified form
- Features algorithms tested on real world problems
- Contains QPCQ and quadratic programming algorithms with rate of convergence
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- About this book
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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. - Reviews
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“The methods presented in the book can be used for solving many problems, as demonstrated by the numerical results. The book can serve as an introductory text for anybody interested in contact problems. Graduate students and researchers in mechanical engineering, computational engineering, and applied mathematics, also will find this book of big value and interest.” (V. Leontiev , zbMATH 1383.74002, 2018)
- Table of contents (19 chapters)
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Contact Problems and Their Solution
Pages 1-8
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Linear Algebra
Pages 11-27
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Optimization
Pages 29-57
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Analysis
Pages 59-66
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Conjugate Gradients
Pages 69-82
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Table of contents (19 chapters)
- Download Preface 1 PDF (64 KB)
- Download Sample pages 2 PDF (175.5 KB)
- Download Table of contents PDF (285.5 KB)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Scalable Algorithms for Contact Problems
- Authors
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- Zdeněk Dostál
- Tomáš Kozubek
- Marie Sadowska
- Vít Vondrák
- Series Title
- Advances in Mechanics and Mathematics
- Series Volume
- 36
- Copyright
- 2016
- Publisher
- Springer-Verlag New York
- Copyright Holder
- Springer Science+Business Media LLC
- eBook ISBN
- 978-1-4939-6834-3
- DOI
- 10.1007/978-1-4939-6834-3
- Hardcover ISBN
- 978-1-4939-6832-9
- Softcover ISBN
- 978-1-4939-8312-4
- Series ISSN
- 1571-8689
- Edition Number
- 1
- Number of Pages
- XIX, 340
- Number of Illustrations
- 57 b/w illustrations, 23 illustrations in colour
- Topics
