Scalable Algorithms for Contact Problems

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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 scala...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Dostál, Zdeněk (Autor), Kozubek, Tomáš (Autor), Sadowská, Marie (Autor), Vondrák, Vít (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2016.
Edición:1st ed. 2016.
Colección:Advances in Mechanics and Mathematics, 36
Temas:
Mathematics-Data processing.
Engineering mathematics.
Engineering-Data processing.
Computer science-Mathematics.
Computational Mathematics and Numerical Analysis.
Mathematical and Computational Engineering Applications.
Mathematics of Computing.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.

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