Scalable Algorithms for Contact Problems

• Κύριοι συγγραφείς: Dostál, Zdeněk (Συγγραφέας), Kozubek, Tomáš (Συγγραφέας), Sadowská, Marie (Συγγραφέας), Vondrák, Vít (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York : Imprint: Springer, 2016.
• Σειρά: Advances in Mechanics and Mathematics, 36
• Θέματα: Mathematics.; Computer science > Mathematics.; Computer mathematics.; Applied mathematics.; Engineering mathematics.; Computational Mathematics and Numerical Analysis.; Appl.Mathematics/Computational Methods of Engineering.; Mathematics of Computing.

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 scalabilit...

Πίνακας περιεχομένων:

• 1. Contact Problems and their Solution
• Part I. Basic Concepts
• 2. Linear Algebra
• 3. Optimization
• 4. Analysis
• Part II. Optimal QP and QCQP Algorithms
• 5. Conjugate Gradients
• 6. Gradient Projection for Separable Convex Sets
• 7. MPGP for Separable QCQP
• 8. MPRGP for Bound Constrained QP
• 9. Solvers for Separable and Equality QP/QCQP Problems
• Part III. Scalable Algorithms for Contact Problems
• 10. TFETI for Scalar Problems
• 11. Frictionless Contact Problems
• 12. Contact Problems with Friction
• 13. Transient Contact Problems
• 14. TBETI
• 15. Mortars
• 16. Preconditioning and Scaling
• Part IV. Other Applications and Parallel Implementation
• 17. Contact with Plasticity
• 18. Contact Shape Optimization
• 19. Massively Parallel Implementation
• Index.