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Advances in Mechanics and Mathematics

Scalable Algorithms for Contact Problems

Authors: Dostál, Z., Kozubek, T., Sadowská, M., Vondrák, V.

  • 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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eBook 118,99 €
price for Spain (gross)
  • ISBN 978-1-4939-6834-3
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  • Immediate eBook download after purchase
Hardcover 150,79 €
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  • ISBN 978-1-4939-6832-9
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  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

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.

Table of contents (19 chapters)

Buy this book

eBook 118,99 €
price for Spain (gross)
  • ISBN 978-1-4939-6834-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 150,79 €
price for Spain (gross)
  • ISBN 978-1-4939-6832-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Scalable Algorithms for Contact Problems
Authors
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
Series ISSN
1571-8689
Edition Number
1
Number of Pages
XIX, 340
Number of Illustrations and Tables
57 b/w illustrations, 23 illustrations in colour
Topics