Scalable Algorithms for Contact Problems

preview-18
  • Scalable Algorithms for Contact Problems Book Detail

  • Author : Zdeněk Dostál
  • Release Date : 2023-11-29
  • Publisher : Springer Nature
  • Genre : Mathematics
  • Pages : 447
  • ISBN 13 : 3031335805
  • File Size : 6,6 MB

Scalable Algorithms for Contact Problems by Zdeněk Dostál PDF Summary

Book Description: 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.

Disclaimer: www.yourbookbest.com does not own Scalable Algorithms for Contact Problems books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.

Scalable Algorithms for Contact Problems

Scalable Algorithms for Contact Problems

File Size : 89,89 MB
Total View : 6385 Views
DOWNLOAD

This book presents a comprehensive treatment of recently developed scalable algorithms for solving multibody contact problems of linear elasticity. The brand-ne

Optimal Quadratic Programming Algorithms

Optimal Quadratic Programming Algorithms

File Size : 48,48 MB
Total View : 6548 Views
DOWNLOAD

Quadratic programming (QP) is one advanced mathematical technique that allows for the optimization of a quadratic function in several variables in the presence

Computer Graphics through Key Mathematics

Computer Graphics through Key Mathematics

File Size : 23,23 MB
Total View : 4925 Views
DOWNLOAD

This book introduces the mathematical concepts that underpin computer graphics. It is written in an approachable way, without burdening readers with the skills

Shape Optimization And Optimal Design

Shape Optimization And Optimal Design

File Size : 22,22 MB
Total View : 9087 Views
DOWNLOAD

This volume presents developments and advances in modelling passive and active control systems governed by partial differential equations. It emphasizes shape a