Modul

oral exam of ca. 20 minutes

Participants know about the modelling and physical basics that lead to the model equations. They can explain (at least for simplified problems) their well-posedness. They are able to analyze stability and convergence of the presented methods.

None

• Derivation of the model equations,
• Existence for simplified model problems,
• Discretization of the initial boundary value problems with fiite elements,
• Nonlinear diffusion equations,  Cahn-Hilliard equation,  linear elasticity and contact problems,
• Stability and convergence of the discrete models,
• Applications

Basic knowledge in the numerical treatment of differential equations, such as boundary value problems or initial value problems is strongly recommended.

Total workload: 120 hours

Attendance: 45 h

• lectures, problem classes and examination

Self studies: 75 h

• follow-up and deepening of the course content,
• work on problem sheets,
• literature study and internet research on the course content,
• preparation for the module examination