Scalable Algorithms for Contact Problems (Paperback, Softcover reprint of the original 1st ed. 2016)

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.

General

Imprint:	Springer-Verlag New York
Country of origin:	United States
Series:	Advances in Mechanics and Mathematics, 36
Release date:	July 2018
First published:	2016
Authors:	Zdenek Dostal • Tomas Kozubek • Marie Sadowska • Vit Vondrak
Dimensions:	235 x 155 x 19mm (L x W x T)
Format:	Paperback
Pages:	340
Edition:	Softcover reprint of the original 1st ed. 2016
ISBN-13:	978-1-4939-8312-4
Categories:	Books > Science & Mathematics > Mathematics > Numerical analysis Books > Computing & IT > General theory of computing > Mathematical theory of computation Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematics for scientists & engineers
LSN:	1-4939-8312-1
Barcode:	9781493983124

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