Dr. Philip Kolvenbach
Mitglied bis 2019.
Forschung und Interessen
- Optimierung mit partiellen Differentialgleichungen
- Robuste Optimierung nichtkonvexer Probleme
- Approximation mit Taylorentwicklungen
- Formulierung als nichtglattes Problem mit Optimalwertsfunktionen
- Primäre Anwendung: lasttragende Bauteile im Maschinenbau
Publikationen
- T. Gally, C. M. Gehb, P. Kolvenbach, A. Kuttich, M.E. Pfetsch, S. Ulbrich: Robust Truss Topology Design with Beam Elements via Mixed Integer Nonlinear Semidefinite Programming, Applied Mechanics and Materials (807), pp. 229–238, 2015
- P. Kolvenbach, O. Lass, S. Ulbrich: An approach for robust PDE-constrained optimization with application to shape optimization of electrical engines and of dynamic elastic structures under uncertainty, Optimization and Engineering, Volume 19, Issue 3, pp 697–731, September 2018
- P. Kolvenbach, S. Ulbrich, M. Krech, P. Groche: Robust design of a smart structure under manufacturing uncertainty via nonsmooth PDE-constrained optimization, Applied Mechanics and Materials (885), pp. 131–144, 2018
- A. Alla, M. Hinze, P. Kolvenbach, O. Lass, S. Ulbrich: A Certified Model Reduction Approach for Robust Parameter Optimization with PDE Constraints, Adv. Comp. Math., 2019
Vorträge
- ISMP 2015 Pittsburgh: Robust geometry optimization in elastodynamics with time-dependent uncertainties
- ICCOPT 2016 Tokyo: Nonlinear robust optimization using second-order approximations and an application to the shape optimization of hyperelastic load-carrying structures
- EUCCO 2016 Leuven: Nonlinear robust optimization using second-order approximations and an application to the shape optimization of hyperelastic load-carrying structures
- FGI 2017 Paderborn: Nonlinear Robust Optimization of PDE-Constrained Problems using Second-Order Approximations
- GAMM 2018 Munich: Nonlinear Robust Optimization of PDE-Constrained Problems using Second-Order Approximations
- ISMP 2018 Bordeaux: Robust optimization of PDE-constrained problems using second-order methods
- ICUME 2018 Darmstadt: Robust design of a smart structure under manufacturing uncertainty via nonsmooth PDE-constrained optimization
- SIAM CSE 2019 Spokane, WA: Robust optimization of PDE-constrained problems using second-order models (Mini-Symposium)
