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A01=Marie Sadowská
A01=Tomá Kozubek
A01=Vít Vondrák
A01=Zdenk Dostál
A32=David Horak
A32=Lubomir íha
A32=Oldrich Vlach
A32=Tomá Brzobohatý
Age Group_Uncategorized
Age Group_Uncategorized
Author_Marie Sadowská
Author_Tomá Kozubek
Author_Vít Vondrák
Author_Zdenk Dostál
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Category1=Non-Fiction
Category=PBKS
Category=TBJ
Category=UYAM
COP=Switzerland
Delivery_Pre-order
Language_English
PA=Not yet available
Price_€100 and above
PS=Active
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Scalable Algorithms for Contact Problems

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 Trescas 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. See more
Current price €145.34
Original price €152.99
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A01=Marie SadowskáA01=Tomá KozubekA01=Vít VondrákA01=Zdenk DostálA32=David HorakA32=Lubomir íhaA32=Oldrich VlachA32=Tomá BrzobohatýAge Group_UncategorizedAuthor_Marie SadowskáAuthor_Tomá KozubekAuthor_Vít VondrákAuthor_Zdenk Dostálautomatic-updateCategory1=Non-FictionCategory=PBKSCategory=TBJCategory=UYAMCOP=SwitzerlandDelivery_Pre-orderLanguage_EnglishPA=Not yet availablePrice_€100 and abovePS=Activesoftlaunch

Will deliver when available. Publication date 19 Nov 2024

Product Details
  • Dimensions: 155 x 235mm
  • Publication Date: 29 Oct 2024
  • Publisher: Springer International Publishing AG
  • Publication City/Country: Switzerland
  • Language: English
  • ISBN13: 9783031335822

About Marie SadowskáTomá KozubekVít VondrákZdenk Dostál

Zdenk Dostál is a professor at the Department of Applied Mathematics and Senior Researcher at IT4Innovations National Supercomputing Center VB-Technical University of Ostrava. Zdenk works in Numerical Linear Algebra Optimization and Computational Mechanics. He published his results in more than 120 papers (Scopus). He is an author of the book Optimal Quadratic Programming Algorithms (Springer 2009) and coauthor of Scalable Algorithms for Contact Problems (Springer 2017) on massively parallel algorithms with theoretically supported linear (optimal) complexity. His current research concerns QP QCQP and generalization of the above results to H-TFETI and H-TBETI.Tomá Kozubek is a professor of applied mathematics at IT4Innovations National Supercomputing Center VBTechnical University of Ostrava specialising in developing scalable algorithms for massively parallel solutions ofengineering problems. He is a scientific director at IT4Innovations. He is also the author or coauthor of over 60 articles (concerning WoS) published in conference proceedings and journals. He is/was PI for the Czech Republic of the project FP7-ICT EXA2CT (Exascale Algorithms and Advanced Computational Techniques) H2020-MSCA-ITN EXPERTISE (models Experiments and high PERformance computing for Turbine mechanical Integrity and Structural dynamics in Europe) H2020-JTI-EuroHPC Hercules (Hpc EuRopean ConsortiUm Leading Education activitieS) and ERASMUS+ SCTrain. He participates in activities of the H2020 Centre of Excellence in HPC project SPACE focused on computational astrophysics and the European Digital Innovation Hub Ostrava focused on supporting industry and public organisations in HPC artificial intelligence and advanced data analysis. He is a guarantor of the doctoral study programme Computational Sciences at VSBTechnical University of Ostrava a member of university scientific boards and programming committees of conferences and a leading organiser of the HPCSE (HPC in Science and Engineering Conference). He is also the primary coordinator of the national Doctoral School for Education in Mathematical Methods and Tools in HPC.Marie Sadowská works as an assistant professor at the Department of Applied Mathematics closely cooperating with IT4Innovations National Supercomputing Center both at VB-Technical University of Ostrava. She has been interested in boundary element methods in combination with domain decomposition approaches with applications to computational mechanics.Vít Vondrák has been working at VBTechnical University of Ostrava since 1993 with the longest period spent at the Department of Applied Mathematics at the Faculty of Electrical Engineering and Computer Science where he received the title of associate professor in 2007. His professional focus is on numerical linear algebra optimisation methods including design optimisation domain decomposition methods highperformance computing and their applications in structural mechanics biomechanics hydrological and traffic simulations. From 1997 to 2007 he spent 2 years at Aalborg University Denmark as part of several research stays and in 2004 and 2006 he stayed in the USA at the University of Colorado at Boulder and Stanford University California. He was one of the founders of IT4Innovations National Supercomputing Center in the Czech Republic of which he has been the Managing Director since 2017. As part of his scientific career he has led or participated in leading a number of research projects including international EU projects. He was the principal investigator of the Intel Parallel Computing Centre funded by Intel corp. the CzeBaCCA project for cooperation between the Czech Republic and Bavaria in the field of supercomputing applications and the project to support large infrastructures in the Czech Republic.

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