Scalable Algorithms for Contact Problems

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Advances in Mechanics and Mathematics 36

ISBN: 1493983121
ISBN 13: 9781493983124
Verlag: Springer Verlag GmbH
Umfang: xix, 340 S., 57 s/w Illustr., 23 farbige Illustr., 340 p. 80 illus., 23 illus. in color.
Erscheinungsdatum: 12.07.2018
Weitere Autoren: Dostál, Zdenek/Kozubek, Tomás/Sadowská, Marie et al
Auflage: 1/2016
Produktform: Kartoniert
Einband: KT

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.

Artikelnummer: 5447583 Kategorie:

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