Orta Doğu Teknik Üniversitesi Uygulamalı Matematik Enstitüsü Seminerleri
Optimal Control Methods for Nonlinear Partial Differential Equations
Fredi Troltzsch
Technische Universität Berlin, Almanya
Lecture 1: Selected topics of numerical analysis for the control of elliptic and parabolic equations
- Optimality conditions in the case of nonlinear equations
- Gradient type methods versus semismooth Newton method
- A priori and a posteriori error estimations for numerical approximations
Lecture 2: Sparse optimal control and case studies in applications
- Model reduction by proper orthogonal decomposition and a posteriori error estimates
- Sparse optimal controls
- 2 case studies:
- Control of magnetic elds and Maxwell equations
- Traveling waves and sparse control of the Nagumo and FitzHugh-Nagumo equations
- Optimality conditions in the case of nonlinear equations
- Gradient type methods versus semismooth Newton method
- A priori and a posteriori error estimations for numerical approximations
Lecture 2: Sparse optimal control and case studies in applications
- Model reduction by proper orthogonal decomposition and a posteriori error estimates
- Sparse optimal controls
- 2 case studies:
- Control of magnetic elds and Maxwell equations
- Traveling waves and sparse control of the Nagumo and FitzHugh-Nagumo equations
