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 s...

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Bibliographic Details
Main Authors: Dostál, Zdeněk (Author), Kozubek, Tomáš (Author), Sadowská, Marie (Author), Vondrák, Vít (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2023.
Edition:2nd ed. 2023.
Series:Advances in Mechanics and Mathematics, 36
Subjects:
Online Access:https://doi.org/10.1007/978-3-031-33580-8
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Table of Contents:
  • Chapter. 1 Contact Problems and Their Solution
  • Part. I. Basic Concepts
  • Chapter. 2. Linear Algebra
  • Chapter. 3. Optimization
  • Chapter. 4. Analysis
  • Part. II. Optimal QP and QCQP Algorithms
  • Chapter. 5. Conjugate Gradients
  • Chapter. 6. Gradient Projection for Separable Convex Sets
  • Chapter. 7. MPGP for Separable QCQP
  • Chapter. 8. MPRGP for Bound-Constrained QP
  • Chapter. 9. Solvers for Separable and Equality QP/QCQP Problems
  • Part. III. Scalable Algorithms for Contact Problems
  • Chapter. 10. TFETI for Scalar Problems
  • Chapter. 11. Frictionless Contact Problems
  • Chapter. 12. Contact Problems with Friction
  • Chapter. 13. Transient Contact Problems
  • Chapter. 14. TBETI
  • Chapter. 15. Hybrid TFETI and TBETI
  • Chapter. 16. Mortars
  • Chapter. 17. Preconditioning and Scaling
  • Part. IV. Other Applications and Parallel Implementation
  • Chapter. 18. Contact with Plasticity
  • Chapter.19. Contact Shape Optimization
  • Chapter. 20. Massively Parallel Implementation
  • Notation and List of Symbols.