Numerical Methods for Mixed Finite Element Problems
Springer International Publishing (Verlag)
978-3-031-12615-4 (ISBN)
Starting by recalling the basic theory of mixed finite element methods, the book goes on to discuss the augmented Lagrangian method and gives a summary of the standard iterative methods, describing their usage for mixed methods. Here, preconditioners are built from an approximate factorisation of the mixed system.
A first set of applications is considered for incompressible elasticity problems and flow problems, including non-linear models.
An account of the mixed formulation for Dirichlet's boundary conditions is then given before turning to contact problems, where contact between incompressible bodies leads to problems with two constraints.
This book is aimed at graduate students and researchers in the field of numerical methods and scientific computing.
- 1. Introduction. - 2. Mixed Problems. - 3. Iterative Solvers for Mixed Problems. - 4. Numerical Results: Cases Where Q=Q'. - 5. Contact Problems: A Case Where Q Q'. - 6. Solving Problems with More Than One Constraint. - 7. Conclusion.
| Erscheinungsdatum | 27.09.2022 |
|---|---|
| Reihe/Serie | Lecture Notes in Mathematics |
| Zusatzinfo | VI, 116 p. 29 illus., 22 illus. in color. |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 203 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik | |
| Schlagworte | Augmented Lagrangian • Computational solid mechanics • Contact Problems • Finite Element Methods • Incompressible Elasticity • iterative methods |
| ISBN-10 | 3-031-12615-7 / 3031126157 |
| ISBN-13 | 978-3-031-12615-4 / 9783031126154 |
| Zustand | Neuware |
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