Garanza, Andrej: Mixed FE-models for variational inequalities. 2020
Content
- Abstract
- Zusammenfassung
- Contents
- List of Figures
- List of Tables
- 1. Introduction
- 2. Notation
- 3. Basic idea applied to 1-D obstacle problem
- 4. Stokes problem with cavitation eects
- 4.1. Minimization problem and equivalent variational formulation
- 4.2. First proposal for solution strategy
- 4.3. First numerical results
- 4.4. Further analysis of the possible solution strategies
- 4.5. Numerical results
- 4.6. Existence and uniqueness of the continuous and the FEM solutions
- 4.7. Error estimate
- 5. Revisiting Obstacle problem in 2-D
- 5.1. Introduction of the mixed formulation
- 5.2. Numerical treatment of the mixed obstacle problem
- 5.3. Numerical results
- 5.4. Error estimate
- 6. Framework for first kind problems with linear inequality conditions
- 7. Summary and outlook
- Appendices
- Bibliography