Graduate School CE

Prof. Dr. Christian Meyer

Research topic

Optimal Control of Partial Differential Equations

Research interests

Optimal Control of Nonlinear Elliptic and Parabolic PDEs
Optimal Control with State Constraints
Finite Element Error Analysis for Optimal Control of PDEs
Optimal Control of Variational Inequalities (VI)

Contact information

Address:	Dolivostraße 15
	D-64293 Darmstadt
	Germany

Phone:	+49 6151 16 - 70946
Fax:	+49 6151 16 - 4459
Office:	S4\|10-313

Email:	cmeyer (at) gsc.tu...

Consultation hours

Tuesday, 14:00 -- 15:00 in S4|10-313

CV

Short curriculum vitae of Christian Meyer

Research projects

Optimal Control in Elastoplasticity (project within the DFG priority program 1253)

Research group

Master/Diploma theses

For an overview over currently open theses and examples for theses written under my supervision, see: Open Master/Diploma theses

Teaching at TU Darmstadt

Summer term 2009: Optimale Steuerung partieller Differentialgleichungen (in german)
Sept. 2009: Seminar "Klimamodelle -- Kann man ihnen trauen?" auf der Sommerakademie der Studienstiftung des Deutschen Volkes (Guidel, Frankreich)
Winter term 2009/2010: Nichtlineare Optimierung (in german)
Summer term 2010: Partielle Differentialgleichungen, klassische Methoden (in german)

Publications

To get the publication data in BibTeX format just click on an entry. For a list of all publications in BibTeX format please click here.

2010
Griesse, Roland and Meyer, Christian: Optimal control of static plasticity with linear kinematic hardening, in: ZAMM, Vol. to appear (2010), Weierstrass Institute for Applied Analysis and Stochastics, WIAS Preprint 1370.
Herzog, Roland and Meyer, Christian and Wachsmuth, Gerd: Existence and Regularity of the Plastic Multiplier in Static and Quasistatic Plasticity, 2010.
Herzog, Roland and Meyer, Christian and Wachsmuth, Gerd: Regularity of Displacement and Stresses in Linear and Nonlinear Elasticity with Mixed Boundary Conditions, 2010.
Hinze, Michael and Meyer, Christian: Numerical analysis of Lavrentiev-regularized state-constrained elliptic control problems, in: Comp. Optim. Appl., Vol. 46 (2010), pp. 487--510.
Hömberg, Dietmar and Meyer, Christian and Rehberg, Joachim and Ring, Wolfgang: Optimal control of the thermistor problem, in: SIAM Journal Control Optim., Vol. 48 (2010), pp. 3449--3481.
2009
Haller-Dintelmann, Robert and Meyer, Christian and Rehberg, Joachim and Schiela, Anton: Hoelder continuity and optimal control for nonsmooth elliptic problems, in: Appl. Math. Optim., Vol. 60 (2009), No. 3, pp. 397-428.
Krumbiegel, Klaus and Meyer, Christian and Rösch, Arnd: A priori error analysis for state constrained boundary control problems. Part I: Control discretization , 2009, Weierstrass Institute for Applied Analysis and Stochastics, WIAS Preprint 1393.
Krumbiegel, Klaus and Meyer, Christian and Rösch, Arnd: A priori error analysis for state constrained boundary control problems. Part II: Full discretization, 2009, Weierstrass Institute for Applied Analysis and Stochastics, WIAS Preprint 1394.
Meyer, Christian and Yousept, Irwin: State-Constrained Optimal Control of Semilinear Elliptic Equations with Nonlocal Radiation Interface Conditions , in: SIAM J. Control Optim., Vol. 48 (2009), pp. 734–755.
Meyer, Christian and Yousept, Irwin: Regularization of state-constrained elliptic optimal control problems with nonlocal radiation interface conditions, in: Comp. Optim. Appl., Vol. 44 (2009), No. 2, pp. 183-212.
2008
De los Reyes, Juan Carlos and Meyer, Christian and Vexler, Boris: Finite element error analysis for state-constrained optimal control of the Stokes equations, in: Control and Cybernetics, Vol. 37 (2008), pp. 251-284.
Hinze, Michael and Meyer, Christian: Stability of infinite dimensional control problems with pointwise state constraints, 2008, Weierstrass Institute for Applied Analysis and Stochastics, WIAS Preprint 1236.
Meyer, Christian: Error estimates for the finite-element approximation of an elliptic control problem with pointwise state and control constraints, in: Control and Cybernetics, Vol. 37 (2008), pp. 51-85.
2007
Meyer, Christian: Second-order sufficient optimality conditions for a semilinear optimal control problem with nonlocal radiation interface conditions, in: ESAIM: COCV, Vol. 13 (2007), pp. 750-775.
Meyer, Christian and Prüfert, Uwe and Tröltzsch, Fredi: On two numerical methods for state-constrained elliptic control problems, in: Optim. Meth. Software, Vol. 22 (2007), pp. 871-899.
2006
Meyer, Christian: An SQP active set method for a semilinear optimal control problem with nonlocal radiation interface conditions, in: Kunisch, Karl and Leugering, Günther and Sprekels, Jürgen and Tröltzsch, Fredi (ed.): Control of Coupled Systems of Partial Differential Equations, Birkhäuser, 2006.
Meyer, Christian: Optimal control of semilinear elliptic equations with applications to sublimation crystal growth, 2006, PhD thesis, TU Berlin.
Meyer, Christian and Philip, Peter and Tröltzsch, Fredi: Optimal control of a semilinear PDE with nonlocal radiation interface conditions, in: SIAM J. Control Optim., Vol. 45 (2006), pp. 699-721.
Meyer, Christian and Rösch, Arnd and Tröltzsch, Fredi: Optimal control of PDEs with regularized pointwise state constraints, in: Comp. Optim. Appl., Vol. 33 (2006), pp. 209-228.
2005
Meyer, Christian and Philip, Peter: Optimizing the temperature profile during sublimation growth of SiC single crystals: Control of heating power, frequency, and coil position, in: Crystal Growth & Design, Vol. 5 (2005), pp. 1145-1156.
Meyer, Christian and Rösch, Arnd: L^\infty-estimates for approximated optimal control problems, in: SIAM J. Control Optim., Vol. 44 (2005), pp. 1636-1649.
Meyer, Christian and Tröltzsch, Fredi: On an elliptic optimal control problem with pointwise mixed control-state constraints, in: Seeger, A. (ed.): Recent Advances in Optimization, Lecture Notes in Economics and Mathematical System. edition, Springer, 2005, pp. 187-204.
2004
Meyer, Christian and Rösch, Arnd: Superconvergence properties of optimal control problems, in: SIAM J. Control Optim., Vol. 43 (2004), pp. 970-985.
2003
Ehrenfried, Klaus and Dillmann, Andreas and Meyer, Christian: Simulation of sound propagation in boundary layers based on Moehring′s acoustic analogy, in: AIAA 2003-3272, 9th AIAA/CEAS Aeroacoustice Conference and Exhibit, Hilton Head, 2003.
2002
Meyer, Christian: Simulation von Schallwellen in Stroemungen mit einem Discontinuous-Galerkin-Verfahren, MSc Thesis, TU Berlin, 2002, in German.