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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Wahrscheinlichkeitstheorie & Statistik Scalable Algorithms for Contact Problems
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Scalable Algorithms for Contact Problems
Zdeněk Dostál, Tomáš Kozubek, Marie Sadowská, Vít Vondrák (Broschiert, Englisch)
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Beschreibung
This book presents a comprehensive treatment of recently developed scalable algorithms for solving multibody contact problems of linear elasticity. The brand-new feature of these algorithms is their theoretically supported numerical scalability (i.e., asymptotically linear complexity) and parallel scalability demonstrated in solving problems discretized by billions of degrees of freedom. The… theory covers solving multibody frictionless contact problems, contact problems with possibly orthotropic Tresca’s friction, and transient contact problems. In addition, it also covers BEM discretization, treating jumping coefficients, floating bodies, mortar non-penetration conditions, etc. This second edition includes updated content, including a new chapter on hybrid domain decomposition methods for huge contact problems. Furthermore, new sections describe the latest algorithm improvements, e.g., the fast reconstruction of displacements, the adaptive reorthogonalization of dual constraints, and an updated chapter on parallel implementation. Several chapters are extended to give an independent exposition of classical bounds on the spectrum of mass and dual stiffness matrices, a benchmark for Coulomb orthotropic friction, details of discretization, etc. The exposition is divided into four parts, the first of which reviews auxiliary linear algebra, optimization, and analysis. The most important algorithms and optimality results are presented in the third chapter. The presentation includes continuous formulation, discretization, domain decomposition, optimality results, and numerical experiments. The final part contains 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. 171,19 €
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Technische Daten
Erscheinungsdatum
29.10.2024
Sprache
Englisch
EAN
9783031335822
Herausgeber
Springer International Publishing
Serien- oder Bandtitel
Advances in Mechanics and Mathematics
Sonderedition
Nein
Autor
Zdeněk Dostál, Tomáš Kozubek, Marie Sadowská, Vít Vondrák
Seitenanzahl
443
Auflage
2
Einbandart
Broschiert
Schlagwörter
Contact problems of elasticity, Domain decomposition, Parallel algorithms, Scalable algorithms, Sobolev spaces, variational inequalities, multibody frictionless contact problems, parallel scalability, Tresca's friction, transient contact problems, BEM discretization
Thema-Inhalt
PBKS - Numerische Mathematik
TBJ - Mathematik für Ingenieure
UYAM - Mathematik für Informatiker
Höhe
235 mm
Breite
15.5 cm
Transparenz & Sicherheit
Hersteller: Springer Nature Customer Service Center GmbH, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com
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