Dr. Jan Carsten Ziems Address:   Technische Universiät Darmstadt   FB Mathematik, Fachgebiet Optimierung   Dolivostr. 15, 64293 Darmstadt    Email: ziemsmathematik.tu-darmstadt.de   Office: S4|10 36  Phone: +49 (0)6151 16-70392  Fax: +49 (0)6151 16-3954   Guest at University of Erlangen-Nürnberg:  Office: Cauerstr. 11, room 03.337  Phone: +49 (0)9131 85-67148  Fax: +49 (0)9131 85-67162

Research

• Optimization with Partial Differential Equations (PDEs), Optimal Control
• Adaptive Error Control in PDE-Constrained Optimization
• Adaptive Multilevel Algorithms for PDE-Constrained Optimization
• Reduced Order Models
• Scientific Computing in Optimization with PDEs
• Nonlinear Optimization
• Function Theory in Several Complex Variables and Pluripotential Theory

Projects

• SPP 1253 Optimization with partial differential equations: Project "Adaptive Multilevel SQP-Methods for PDAE-Constrained Optimization with Restrictions on Control and State"

Publications

• D. Clever, J. Lang, S. Ulbrich, J. C. Ziems, Generalized Multilevel SQP-methods for PDAE-constrained Optimization Based on Space-Time Adaptive PDAE Solvers. In: G. Leugering, S. Engell, A. Griewank, M. Hinze, R. Rannacher, V. Schulz, M. Ulbrich, S. Ulbrich (Eds.), Constrained Optimization and Optimal Control for Partial Differential Equations, Springer Verlag, International Series of Numerical Mathematics, Vol. 160, pp. 37-60, Basel, 2012.  
• J. C. Ziems, S. Ulbrich, Adaptive Multilevel Generalized SQP-Methods for PDE-constrained Optimization, submitted, 2011. PDF file (467kB).
• J. C. Ziems, Adaptive Multilevel Inexact SQP-Methods for PDE-constrained Optimization with Control Constraints, submitted, 2011. PDF file (1,7MB).
• J. C. Ziems, S. Ulbrich, Adaptive Multilevel Inexact SQP-Methods for PDE-constrained Optimization, SIAM J. Optim. 21, pp. 1-40, 2011. PDF file (994kB).
   SIAM J. Optim. Most Downloaded Articles: Jan. #4, Febr. #3, Mar. #1, Apr. #2, May #1, June #4.
• D. Clever, J. Lang, S. Ulbrich, J. C. Ziems,
  Combination of an Adaptive Multilevel SQP Method and a Space-Time Adaptive PDAE Solver for Optimal Control Problems, Procedia Computer Science 1, pp. 1435–1443, 2010.

PhD Thesis

• Adaptive Multilevel SQP-Methods for PDE-constrained Optimization, Dissertation, Technische Universität Darmstadt, 2010, Verlag Dr. Hut, PDF file (2,9MB).
  Advisor: Prof. Dr. Stefan Ulbrich

Diploma Thesis

• Extension of Separately Holomorphic Functions with Singularities, Diplomarbeit, Carl von Ossietzky Universität Oldenburg, 2005, PDF file (1,1MB).
  Advisor: Prof. Dr. Peter Pflug

Talks

• March 27, 2012: invited extended talk, 83rd GAMM 2012: Adaptive Multilevel Optimization with Reduced Order Models for PDE­-constrained Problems, Darmstadt, Germany.
• March 05, 2012: invited talk, 5th International Conference on High Performance Scientific Computing: Adaptive Multilevel Optimization with Reduced Order Models for PDE­-constrained Problems, Hanoi, Vietnam.
• December 01, 2011: invited talk, Workshop on Optimal Control of Partial Differential Equations (in honor of Fredi Tröltzsch 60th birthday): Adaptive Multilevel Optimization with Reduced Order Models for PDE­-constrained Problems, Chemnitz, Germany.
• September 26, 2011: Annual meeting 2011 of SPP 1253, Banz, Germany.
• September 13, 2011: invited talk, 25th IFIP TC7 Conference: Multilevel optimization with reduced order models for PDE-constrained problems, Berlin, Germany.
• July 25, 2011: invited talk, Oberseminar Numerik, Universität Konstanz: Adaptive multilevel optimization with reduced order models for PDE-constrained problems, Germany.
• May 19, 2011: invited talk, SIAM Conference on Optimization 2011: Adaptive multilevel optimization with reduced order models for PDE-constrained problems, Darmstadt, Germany.
• September 14, 2010: Annual meeting 2010 of SPP 1253: Goal-oriented refinement in adaptive multilevel generalized SQP-methods for PDE-constrained optimization, Freising, Germany. 
• March 23, 2010: invited talk, 81st Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) 2010, in young researchers minisymposium on 'Adaptive approaches in PDE constrained optimization':   Adaptive Multilevel SQP-Methods for PDE-constrained Optimization with Control Constraints, Karlsruhe, Germany.
• August 27, 2009: invited talk, International Symposium on Mathematical Programming (ISMP) 2009: Adaptive Multilevel SQP-Methods for PDE-constrained Optimization with Control Constraints, Chicago, USA.
• September 22, 2008: Annual Meeting 2008 of SPP 1253, Banz, Germany.
•  May 12, 2008: invited talk, SIAM Conference on Optimization 2008: Adaptive Multilevel Generalized SQP-Methods for Parabolic PDE-constrained Optimization, Boston, USA.
•  March 11, 2008: invited talk, Workshop MIP & PDEs: Adaptive Multilevel Inexact SQP-Methods for PDE-constrained Optimization and their Relevance in Branch and Bound Algorithms, Hausdorff Research Institute, Bonn, Germany.
•  October 4, 2007: Annual Meeting 2007 of SPP 1253, Bad Honnef, Germany.
•  September 17, 2007: CFG 2007: Adaptive Multilevel Inexact SQP-Methods for PDE-constrained Optimization, Heidelberg, Germany.

Software and Computations

•  Videos of the computational results of a parabolic PDE-constrained boundary control optimization problem with nonlinear Neumann boundary terms and box constraints [-0.2,0.3] on the control (cf. problem 2.20 in the PhD Thesis):
  • control movie playing adaptively in time (2.3 MB)
  • control movie in real time (3.6 MB)
  • state movie playing adaptively in time (2.0 MB)
  • state movie in real time (3.6 MB)

Supervised theses

• S. Bott, Adaptive Multilevel SQP Method for State Constrained Optimization with PDEs, diploma thesis, Technische Universität Darmstadt, 2012.
• P. Wojciechowski, Generalisierte Multilevel SQP-Methoden für PDE-beschränkte Optimierung mit Modellen reduzierter Ordnung, diploma thesis, Technische Universität Darmstadt, 2011.
• S. Kessler, An adaptive inexact SQP-method for parabolic PDE-constrained optimization, diploma thesis, Technische Universität Darmstadt, 2008.

Teaching

• Winter 2011, Uni Erlangen-Nürnberg (substituting professorship):
   "Mathematik für Ingenieure C3" 
• Summer 2011, TU Darmstadt (substitute lecturer):
   "Mathematik IV für ET, Mathematik III für Inf" by Prof. Dr. S. Ulbrich
  Evaluation: Remarks on substitute lecturer (taken from evaluation report)
• Summer 2011, TU Darmstadt (substitute lecturer):
   "Optimierung bei partiellen Differenzialgleichungen" by Prof. Dr. S. Ulbrich
• Winter 2009/10, TU Darmstadt (assistance):
   "Mathematik III für ET" by Prof. Dr. N. Scheithauer
• Summer 2009, TU Darmstadt (assistance, substitute lecturer):
   "Mathematik IV für ET, Mathematik III für Inf" by Prof. Dr. S. Ulbrich
• Winter 2008/09, TU Darmstadt (assistance, substitute lecturer):
   "Mathematik III für ET" by Prof. Dr. S. Roch
•  Summer 2008, TU Darmstadt (assistance):
   "Mathematik IV für ET, Mathematik III für Inf Bsc" by Prof. Dr. M. Kiehl
•  Winter 2007/08, TU Darmstadt (assistance, substitute lecturer):
   "Nichtlineare Optimierung (Opt. III)" by Prof. Dr. S. Ulbrich
• Summer 2007, TU Darmstadt (substitute lecturer):
   "Optimierung bei partiellen Differentialgleichungen" by Prof. Dr. S. Ulbrich
•  Summer 2007, TU Darmstadt (assistence, substitute lecturer):
   "Mathematik IV für ET, Mathematik III für Inf Bsc" by Prof. Dr. S. Ulbrich
•  Winter 2006/07, TU Darmstadt (assistance):
   Assistance for lecture "Mathematik III für ET" by Prof. Dr. R. Farwig
•  Summer 2006, TU Darmstadt (assistance):
  "Mathematik IV für ET, Mathematik III für Inf Bsc" by Prof. Dr. S. Ulbrich
•  Winter 2005/06, TU Darmstadt (assistance):
   "Mathematik I für Inf und WInf" by Dr. A. Rößler
•  Summer 2005, TU Darmstadt (assistance):
   "Mathematik IV für MB WI/MB" by Prof. Dr. P. Spelucci