Klein, Nicole: Consistent FE-analysis of elliptic variational inequalities. 2012
Inhalt
- Abstract
- Kurzfassung
- Contents
- 1 Introduction
- 2 Basic principles
- 2.1 Elliptic minimisation problems
- 2.2 Approximation of elliptic variational inequalities
- 2.3 Lagrangian and Lagrange multipliers
- 2.4 Sobolev spaces
- 3 Obstacle problem
- 4 Nonlinear contact problems
- 5 Torsion problem
- 6 Strang’s problem
- 6.1 Variational formulation
- 6.2 Saddle point formulation for the primal mixed system
- 6.3 The dual mixed system
- 6.4 Numerical results
- 7 Simplified Signorini problem
- 8 Application: Deep drilling
- 9 Conclusion and outlook
- Bibliography