KMA/TVOP Shape Optimization

Lecturer: Horymír Netuka
Lecture: 2 hours/week + exercise 1 hour/week
Credits: 4
Winter semester
Form of course completion: course credit, exam

• Introduction to optimal control and optimal shape design.
• Model problems of optimal control and sizing optimization.
• Formulation of an optimal control using the right-hand side and solvability analysis.
• Approximation of an optimal control problem with control using the right-hand side and convergence analysis.
• Solution of an exemplary problem in 1D.
• Optimal control using coefficients of the state problem.
• Abstract setting of the optimal shape design problem and its solvability.
• Approximation of an optimal shape design problem and convergence analysis.
• Sensitivity analysis.