Veröffentlichungen und Preprints der AG Kontinuierliche Optimierung

2022

• C. Meyer and M. AndreiaAn adaptive time stepping scheme for rate - independentsystems with non-convex energy
  Preprint-Version, (2022), arXiv

• C. Meyer and S. HillbrechtBilevel Optimization of the Kantorovich Problem and its Quadratic Regularization Part I: Existence Results
  Preprint-Version, (2022), arXiv

2020

• C. Meyer and S. Walther Optimal control of perfect plasticity Part II: Displacement tracking
  Preprint-Version, (2020)

• C. Christof and G. Wachsmuth Differential Sensitivity Analysis of Variational Inequalities with Locally Lipschitz Continuous Solution Operators
  Applied Mathematics and Optimization 81, pp 23-62, (2020)

• C. Meyer and S. Walther Optimal control of perfect plasticity Part I: Stress tracking
  Preprint-Version, (2020), arXiv

2019

• C. Meyer and L. M. Susu Analysis of a viscous two-field gradient damage modell II: Penalization limit
  Z. Anal. Anwend. vol 38, no. 4, pp 439-474, (2019) Preprint-Version

• C. Meyer and L. M. Susu Analysis of a viscous two-field gradient damage model Part I: Existence and uniqueness
  Z. Anal. Anwend. vol. 38, no. 3, pp 249-286 (2019), Preprint-Version

• C. Christof and C. Meyer Sensitivity analysis for a class of H ¹₀ elliptic variational inequalities of the second kind
  Set-Valued Var. Anal. vol 27, no 2, pp 469-502, (2019), Preprint-Versinon

• C. Meyer and M. Sievers Finite element discretization of local minimization schemes for rate-independent evolutions
  Calcolo vol. 56, no. 2, 38 pp., (2019), Preprint-Version

• D. A. Lorenz, P. Manns and C. Meyer Quadratically regularized optimal transport
  Applied Mathematics and Optimization, (2019), Preprint-Version

• H. Meinlschmidt, C. Meyer and J. Rehberg Regularization for optimal control problems associated to nonlinear evolution equations
  Journal of Convex Analysis, Vol. 27, No. 2, pp 443-485, (2019), Preprint-Version

• C. Meyer and M. Sievers A-priori error analysis of local incremental minimization schemes for rate-independent evolutions
  Preprint-Version, (2019), arXiv

• H. Meinlschmidt, C. Meyer and S. Walther Optimal control of an abstract evolution variational inequality with application to homogenized plasticity
  Preprint-Version, (2019), arXiv

2018

• C. Christof, C. Clason, C. Meyer and S. Walther Optimal Control of a Non- Smooth Semilinear Elliptic Equation
  Mathematical Control and Related Fields, vol. 8, no. 1, pp. 247-276, (2018), Preprint-Version

• C. Meyer, C. Buchheim and R. Schäfer Combinatorial optimal control of semilinear elliptic PDEs
  Comput. Optim. Appl. vol 70, no. 3, pp. 641-675, (2018), Preprint-Version

• C. Christof and C. Meyer A Note on A Priori Lp-Error Estimates for the Obstacle Problem
  Numer. Mathematik, Vol. 139, No 1, pp. 27-45, (2018), Preprint-Version

• C. Christof and G. Wachsmuth, G. On the Non-Polyhedricity of Sets with Upper and Lower Bounds in Dual Spaces
  GAMM, Vol. 40, No. 4, 339-350, (2018) Preprint-Version

• C. Christof and G.Müller. A Note on the Equivalence and the Boundary Behavior of a Class of Sobolev Capacities
  GAMM, Vol. 40, No. 3, pp 238-266, (2018) Preprint-Version

• C. Christof and G. Wachsmuth No-Gap Second-Order Conditions via a Direct- ional Curvature Functional
  SIAM Journal on Optimization, Vol. 28, No. 3, pp. 2097-2130, (2018), Preprint Version

2017

• C. Christof L∞-error estimates for the obstacle problem revisited
  Calcolo 54, pp 1243-1264, (2017)

• R. Herzog, C. Meyer and A. Stötzner Existence of solutions of a thermoviscoplastic model and associated optimal control problems
  Nonlinear. Anal. Real World Appl., Vol. 35, pp 75 - 101, (2017), Preprint-Version

• C. Christof, C. Meyer and J. C. De los Reyes A Non-Smooth Trust Region Method for Locally Lipschitz Functions with Application to Optimization Problems Constrained by Variational Inequalities
  arXiv

• C. Meyer and L. M. Susu Optimal Control of Nonsmooth, Semilinear Parabolic Equations
  SIAM J. Control Optim. Vol 55, No. 4, pp 2206-2234, (2017), Preprint-Version

• C. Meyer, M. Meinlschmidt and J. Rehberg Optimal control of the thermistor problem in three spatial dimensions, Part 1: Existence of optimal solutions
  SIAM J. Control Optim, Vol.55, No. 5, pp 2876-2904, (2017), Preprint-Version

• H. Meinlschmidt, C. Meyer and J. Rehberg Optimal control of the thermister problem in three spatial dimensions, Part 2: Optimality conditions
  SIAM J. Control Optim, Vol 5, No 4, pp 2368 - 2392, (2017),Preprint-Version

• C. Christof L∞- error estimates for the obstacle problem revisited
  Calcolo, Vol. 4, (2017), Preprint-Version

2016

• J. C. de los Reyes, R. Herzog and C. Meyer Optimal Control of Static Elastoplasticity in Primal Formulation
  SIAM J. Control Optim. Vol 54, No. 6, pp. 3016-3039 (2016) Preprint (Preprint-Version)

• C. Meyer, S. Schnepp and O. Thoma Optimal Control of the Inhomogeneous Relativistic Maxwell Newton Lorentz Equations
  SIAM J. Control Optim Vol 54, No. 5, pp 2490-2525, (2016), Preprint-Version

2015

• T. Betz and C. Meyer Second-Order Sufficient Optimality Conditions for Optimal Control of Static Elastoplasticity with Hardening
  ESAIM: Control, Optimisation and Calculus of Variations, vol. 21, no. 1, 271–300, (2015) Preprint-Version

• C. Meyer, A. Rademacher and W. Wollner Adaptive optimal control of the obstacle problem
  SIAM Journal on Scientific Computing, vol. 37, no. 2, pp. A918-A945, (2015), Preprint-Version

2014

• J. C. de los Reyes and C. Meyer Strong Stationarity Conditions for a Class of Optimization Problems Governed by Variational Inequalities of the Second Kind
  Journal of Optimization Theory and Applications (2015)

• R. Herzog, C. Meyer and G. Wachsmuth Optimal control of elastoplastic processes: analysis, algorithms, numerical analysis and applications
  Trends in PDE constrained optimizaiton, Internat. Ser. Numer. Math, 165, Birkhäuser/Springer, pp 27 -41,(2014)

• T. Betz, C. Meyer, A. Rademacher and K. Rosin Adaptive optimal control of elastoplastic contact problems
  Preprint-Version, (2014)

• R. Herzog, C. Meyer and G. Wachsmuth B- and strong stationarity for optimal control of static plasticity with hardening
  SIAM Journal on Optimization, Vol. 23, No. 1, pp 321-352, (2013) Preprint-Version

2012

• R. Herzog, C. Meyer and G. Wachsmuth C-stationarity for optimal control of static plasticity with linear kinematic hardening
  SIAM Journal on Control and Optimization, Vol. 50, No. 5, pp. 3052-3082, (2012), Preprint-Version

2011

• C. Meyer and O. Thoma A Priori Finite Element Error Analysis for Optimal Control of the Obstacle Problem
  SIAM Journal on Numerical Analysis, vol. 51(1), pp. 605-628, (2011) (Preprint-Version)

• R. Herzog and C. Meyer Optimal control of static plasticity with linear kinematic hardening
  ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, vol. 91, pp. 777-794, (2011) (Preprint-Version)

• C. Meyer, L. Panizzi and A. Schiela Uniqueness criteria for the adjoint equation in stateconstrained ellitpic optimal control
  Numerical Functional Analysis and Optimization , vol. 32, pp. 983-1007, (2011) (Preprint-Version)

• R. Herzog, C. Meyer and G. Wachsmuth Integrability of Displacement and Stresses in Linear and Nonlinear Elasticity with Mixed Boundary Conditions
  Journal of Mathematical Analysis and Applications (JMAA), vol. 308(2), pp. 802-813, (2011) (Preprint-Version)

• R. Herzog, C. Meyer and G. Wachsmuth Existence and regularity of the plastic multiplier for static and quasistatic plasticity
  GAMM-Mitteilungen, vol. 34, pp. 39-44, (2011) (Preprint-Version)

2010

• K. Krumbiegel, C. Meyer and A. Rösch A priori error analysis for linear quadratic elliptic Neumann boundary control problems with control and state constraints
  SIAM Journal on Control and Optimization, vol. 48, pp. 5108-5142, (2010) (Preprint-Version, Part 1), (Preprint-Version, Part 2)

• D. Hömberg, C. Meyer, J. Rehberg and W. Ring Optimal control of the thermistor problem
  SIAM Journal on Control and Optimization, vol. 48, pp. 3449-3481, (2010) (Preprint-Version)

• M. Hinze and C. Meyer Variational discretization of Lavrentiev-regularized stateconstrained elliptic control problems
  Computational Optimization and Applications, vol. 46, pp. 487-510, (2010) (Preprint-Version)

2009

• R. Haller-Dintelmann, C. Meyer, J. Rehberg and A. Schiela Hölder continuity for second order elliptic problems with nonsmooth data
  Applied Mathematics & Optimization, vol. 60, pp. 397-428, (2009) (Preprint-Version)

• C. Meyer and I. Yousept Regularization of state-constrained elliptic optimal control problems with nonlocal radiation interface conditions
  Computational Optimization and Applications, vol. 44, pp. 183-212, (2009,) (Preprint-Version)

• C. Meyer and I. Yousept State-constrained optimal control of semilinear elliptic equations with nonlocal radiation interface conditions
  SIAM Journal on Control and Optimization, vol. 48, pp. 734-750, (2009) (Preprint-Version)

2008

• J. C. de los Reyes, C. Meyer and B. Vexler Finite element error analysis for stateconstrained optimal control of the Stokes equations
  Control and Cybernetics, vol. 37, pp. 251-284, (2008)(Preprint-Version)

• C. Meyer Error estimates for the finite-element approximation of an elliptic control problem with pointwise state and control constraints
  Control and Cybernetics, vol. 37, pp. 51-85, (2008) (Preprint-Version)

2007

• C. Meyer and I. Yousept State-constrained optimal control problem with radiation interface conditions
  PAMM, special issue of the 6th International Congress on Industrial and Applied Mathematics (ICIAM07) and GAMM Annual Meeting, Zürich, (2007)

• C. Meyer An SQP active set method for a semilinear optimal control problem with nonlocal radiation interface conditions
  Control of Coupled Partial Differential Equations, pp 217-248, (2007)

• C. Meyer, U. Prüfert and F. Tröltzsch On two numerical methods for state-constrained elliptic control problems
  Optimization Methods and Software, vol. 22, pp. 871-899, (2007), (Preprint-Version)

• C. Meyer Second-order optimality conditions for a semilinear optimal control problem with nonlocal radiation interface conditions
  ESAIM: Control, Optimisation and Calculus of Variations, vol. 13 (4), pp. 750-775, (2007) (Preprint-Version)

2006

• C. Meyer and F. Tröltzsch On an elliptic optimal control problem with pointwise mixed control-state constraints
  Recent Advances in Optimization, ed. A. Seeger. Lectures Notes in Economics and Mathematical Systems, vol. 563, pp. 187-204, (2006), (Preprint-Version)

• C. Meyer, P. Philip and F. Tröltzsch Optimal control of a semilinear PDE with nonlocal radiation interface conditions
  SIAM Journal on Control and Optimization, vol. 45 (2), pp. 699-721,(2006), (Preprint-Version)

• C. Meyer, A. Rösch and F. Tröltzsch Optimal control of PDEs with regularized pointwise state constraints
  Computational Optimization and Applications, vol. 33, pp. 209-228, (2006) (Preprint-Version)

2005

• C. Meyer and A. Rösch L^inf-estimates for approximated optimal control problems
  SIAM Journal on Control and Optimization, vol. 44 (5), pp. 1636-1649, (2005) (Preprint-Version)

• C. Meyer and P. Philip Optimizing the temperature profile during sublimation growth of SiC single crystals: Control of heating power, frequency and coil position
  Crystal Growth & Design, vol. 5 (3), pp. 1145-1156, (2005) ,