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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| Main Authors: | , , , |
|---|---|
| Corporate Author: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cham :
Springer International Publishing : Imprint: Springer,
2023.
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| 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.