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Prof. Dr. rer. nat. Arnd Rösch

Fakultät für Mathematik

Anschrift
Thea-Leymann-Str. 9
45127 Essen
Raum
WSC-O-4.52
Telefon
+49 201 183 - 7438
Telefax
+49 201 183 - 2426
E-Mail
arnd.roesch@uni-due.de
Webseite
http://www.uni-due.de/mathematik/agroesch/roesch.shtml

Funktionen

  • Universitätsprofessor/in, Mathematische Optimierung

  • Gruppe der Professorinnen und Professoren, Fakultätsrat

Die folgenden Publikationen sind in der Online-Universitätsbibliographie der Universität Duisburg-Essen verzeichnet. Weitere Informationen finden Sie gegebenenfalls auch auf den persönlichen Webseiten der Person.

    Artikel in Zeitschriften

  • Baumgartner, Jens; Rösch, Arnd
    AFC stabilization of a state constrained optimal control problem
    In: Mathematical Control and Related Fields (MCRF), 2025, in press
    DOI (Open Access)
  • Ammann, Luis; Yousept, Irwin; Rösch, Arnd (Gefeierte Person)
    Numerical analysis for a hyperbolic pde-constrained optimization problem in acoustic full waveform inversion : Dedicated to the 60th birthday of Arnd Rösch
    In: Mathematical Control and Related Fields (MCRF), Jg. 15, 2025, Nr. 4, S. 1241 – 1261
    DOI, Online Volltext (Open Access)
  • Casas, Eduardo; Mateos, Mariano; Rösch, Arnd
    New second order sufficient optimality conditions for state constrained parabolic control problems
    In: Optimization, Jg. 74, 2024, Nr. 7, S. 1551 – 1571
    DOI, Online Volltext (Open Access)
  • Apel, Thomas; Mateos, Mariano; Rösch, Arnd
    Non-coercive Neumann Boundary Control Problems
    In: Results in Mathematics, Jg. 79, 2024, Nr. 6, 227
    DOI (Open Access)
  • Clason, Christian; Nhu, Vu Huu; Rösch, Arnd
    Numerical analysis of a nonsmooth quasilinear elliptic control problem : I. Explicit second-order optimality conditions
    In: Mathematical Modelling and Numerical Analysis (ESAIM-M2AN), Jg. 58, 2024, Nr. 3, S. 993 – 1029
    DOI, Online Volltext (Open Access)
  • Kien, Bui Trong; Rösch, Arnd; Son, Nguyen Hai; Tuyen, Nguyen Van
    FEM for Semilinear Elliptic Optimal Control with Nonlinear and Mixed Constraints
    In: Journal of Optimization Theory and Applications (JOTA), Jg. 197, 2023, Nr. 1, S. 130 – 173
    DOI
  • Holtmannspötter, Marita; Rösch, Arnd
    Existence of optimal controls in the absence of weakly continuous control-to-state-operator
    In: Pure and Applied Functional Analysis, Jg. 7, 2022, Nr. 5, S. 1717 – 1732
    Online Volltext
  • Holtmannspötter, Marita; Rösch, Arnd
    A priori error estimates for the finite element approximation of a nonsmooth optimal control problem governed by a coupled semilinear pde-ode system
    In: SIAM Journal on Control and Optimization, Jg. 59, 2021, Nr. 5, S. 3329 – 3358
    DOI
  • Holtmannspötter, Marita; Rösch, Arnd; Vexler, Boris
    A priori error estimates for the space-time finite element discretization of an optimal control problem governed by a coupled linear PDE-ODE system
    In: Mathematical Control and Related Fields (MCRF), Jg. 11, 2021, Nr. 3, S. 601 – 624
    DOI, Online Volltext (Open Access)
  • Clason, Christian; Nhu, Vu Huu; Rösch, Arnd
    No-gap second-order optimality conditions for optimal control of a non-smooth quasilinear elliptic equation
    In: Control, Optimisation and Calculus of Variations (ESAIM-COCV), Jg. 27, 2021, 2020092
    DOI, Online Volltext (Open Access)
  • Casas, Eduardo; Mateos, Mariano; Rösch, Arnd
    Numerical approximation of control problems of non-monotone and non-coercive semilinear elliptic equations
    In: Numerische Mathematik, Jg. 149, 2021, Nr. 2, S. 305 – 340
    DOI (Open Access)
  • Clason, Christian; Nhu, Vu Huu; Rösch, Arnd
    Optimal control of a non-smooth quasilinear elliptic equation
    In: Mathematical Control and Related Fields (MCRF), Jg. 11, 2021, Nr. 3, S. 521 – 554
    DOI, Online Volltext (Open Access)
  • Casas, Eduardo; Mateos, Mariano; Rösch, Arnd
    Analysis of control problems of nonmontone semilinear elliptic equations
    In: Control, Optimisation and Calculus of Variations (ESAIM-COCV), Jg. 26, 2020, S. 80
    DOI, Online Volltext (Open Access)
  • Rösch, Arnd; Kuliyev, Hamlet F.; Ramazanova, Aysel
    An inverse problem for determining right hand side of equations for hyperbolic equation of fourth order
    In: Advances in Differential Equations and Control Processes, Jg. 20, 2019, Nr. 2, S. 143 – 161
    DOI
  • Casas, Eduardo; Mateos, Mariano; Rösch, Arnd
    Error estimates for semilinear parabolic control problems in the absence of Tikhonov term
    In: SIAM Journal on Control and Optimization, Jg. 57, 2019, Nr. 4, S. 2515 – 2540
    DOI (Open Access)
  • Rösch, Arnd
    Optimierungsprobleme : Verschwundene Minima in der nichtlinearen Optimierung
    In: Unikate: Berichte aus Forschung und Lehre, 2019, Nr. 53: Mathematik - Herausforderung des Nichtlinearen, S. 69 – 72
    DOI, Online Volltext (Open Access)
  • Apel, Thomas; Mateos, Mariano; Pfefferer, Johannes; Rösch, Arnd
    Error estimates for dirichlet control problems in polygonal domains : Quasi-uniform meshes
    In: Mathematical Control and Related Fields (MCRF), Jg. 8, 2018, Nr. 1, S. 217 – 245
    DOI, Online Volltext (Open Access)
  • Casas, Eduardo; Mateos, Mariano; Rösch, Arnd
    Improved approximation rates for a parabolic control problem with an objective promoting directional sparsity
    In: Computational Optimization and Applications, Jg. 70, 2018, Nr. 1, S. 239 – 266
    DOI, Online Volltext (Open Access)
  • Casas, Eduardo; Mateos, Mariano; Rösch, Arnd
    Finite element approximation of sparse parabolic control problems
    In: Mathematical Control and Related Fields (MCRF), Jg. 7, 2017, Nr. 3, S. 393 – 417
    DOI
  • Rösch, Arnd; Wachsmuth, Gerd
    Mass lumping for the optimal control of elliptic partial differential equations
    In: SIAM Journal on Numerical Analysis, Jg. 55, 2017, Nr. 3, S. 1412 – 1436
    DOI
  • Kien, Bui Tong; Rösch, Arnd; Wachsmuth, Daniel
    Pontryagin’s Principle for Optimal Control Problem Governed by 3D Navier–Stokes Equations
    In: Journal of Optimization Theory and Applications (JOTA), Jg. 173, 2017, Nr. 1, S. 30 – 55
    DOI
  • Rösch, Arnd; Siebert, Kunibert; Steinig, Simeon
    Reliable a posteriori error estimation for state-constrained optimal control
    In: Computational Optimization and Applications, Jg. 68, 2017, Nr. 1, S. 121 – 162
    DOI
  • Rösch, Arnd; Hackl, Klaus; Meyer, Christian
    Rechnen für langlebige Produkte : Optimierung von mechanischen Schädigungsprozessen
    In: Unikate: Berichte aus Forschung und Lehre, 2016, Nr. 48: Materials Chain : Forschung aus dem UA Ruhr-Profilschwerpunkt, S. 60 – 65
    DOI, Online Volltext (Open Access)
  • Rösch, Arnd; Kien, B.T.
    Second-Order Optimality Conditions for Boundary Control Problems with Mixed Pointwise Constraints
    In: SIAM Journal on Optimization, Jg. 26, 2016, Nr. 3, S. 1912 – 1943
    DOI
  • Neitzel, Ira; Pfefferer, Johannes; Rösch, Arnd
    Finite element discretization of state-constrained elliptic optimal control problems with semilinear state equation
    In: SIAM Journal on Control and Optimization, Jg. 53, 2015, Nr. 2, S. 874 – 904
    DOI
  • Apel, Thomas; Pfefferer, Johannes; Rösch, Arnd
    Finite element error estimates on the boundary with application to optimal control
    In: Mathematics of Computation (MCOM), Jg. 84, 2015, Nr. 291, S. 33 – 70
    DOI, Online Volltext
  • Benner, Peter; Herzog, Roland; Hinze, Michael; Rösch, Arnd; Schiela, Anton; Schulz, Volker
    Introduction to the special issue for EUCCO 2013
    In: Computational Optimization and Applications, Jg. 62, 2015, Nr. 1, S. 1 – 3
    DOI
  • Kien, Bui Trong; Nhu, V. H.; Rösch, Arnd
    Lower semicontinuity of the solution map to a parametric elliptic optimal control problem with mixed pointwise constraints
    In: Optimization, Jg. 64, 2015, Nr. 5, S. 1219 – 1238
    DOI
  • Apel, Thomas; Rösch, Arnd; Mateos, Mariano; Pfefferer, Johannes
    On the Regularity of the Solutions of Dirichlet Optimal Control Problems in Polygonal Domains
    In: SIAM Journal on Control and Optimization, Jg. 53, 2015, Nr. 6, S. 3620 – 3641
    DOI, Online Volltext (Open Access)
  • Aßmann, Ute; Rösch, Arnd
    Regularization in Sobolev Spaces with Fractional Order
    In: Numerical Functional Analysis and Optimization, Jg. 36, 2015, Nr. 3, S. 271 – 286
    DOI
  • Kien, B.T.; Rösch, Arnd; Nhu, V. H.
    Second-Order Necessary Optimality Conditions for a Class of Optimal Control Problems Governed by Partial Differential Equations with Pure State Constraints
    In: Journal of Optimization Theory and Applications (JOTA), Jg. 165, 2015, Nr. 1, S. 30 – 61
    DOI
  • Kohls, Kristina; Rösch, Arnd; Siebert, Kunnibert
    A Posteriori Error Analysis of Optimal Control Problems with Control Constraints
    In: SIAM Journal on Control and Optimization, Jg. 52, 2014, Nr. 3, S. 1832 – 1861
    DOI
  • Aßmann, Ute; Rösch, Arnd
    Identification of an unknown parameter function in the main part of an elliptic partial differential equation
    In: Zeitschrift für Analysis und ihre Anwendungen / Journal for Analysis and its Applications, Jg. 32, 2013, Nr. 2, S. 163 – 178
    DOI
  • Rösch, Arnd; Steinig, Simeon
    A priori error estimates for a state-constrained elliptic optimal control problem
    In: Mathematical Modelling and Numerical Analysis (ESAIM-M2AN), Jg. 46, 2012, Nr. 5, S. 1107 – 1120
    DOI
  • Rösch, Arnd; Wachsmuth, Daniel
    A-posteriori error estimates for optimal control problems with state and control constraints
    In: Numerische Mathematik, Jg. 120, 2012, Nr. 4, S. 733 – 762
    DOI
  • Apel, Thomas; Pfefferer, Johannes; Rösch, Arnd
    Finite element error estimates for Neumann boundary control problems on graded meshes
    In: Computational Optimization and Applications, Jg. 52, 2012, Nr. 1, S. 3 – 28
    DOI
  • Krumbiegel, Klaus; Neitzel, Ira; Rösch, Arnd
    Regularization for semilinear elliptic optimal control problems with pointwise state and control constraints
    In: Computational Optimization and Applications, Jg. 52, 2012, Nr. 1, S. 181 – 207
    DOI
  • Mateos, Mariano; Rösch, Arnd
    On saturation effects in the Neumann boundary control of elliptic optimal control problems
    In: Computational Optimization and Applications, Jg. 49, 2011, Nr. 2, S. 359 – 378
    DOI
  • Rösch, Arnd; Wachsmuth, Daniel
    Semi-smooth Newton method for an optimal control problem with control and mixed control-state constraints
    In: Optimization Methods and Software, Jg. 26, 2011, Nr. 2, S. 169 – 186
    DOI
  • Lorenz, Dirk A.; Rösch, Arnd
    Error estimates for joint Tikhonov and Lavrentiev regularization of constrained control problems
    In: Applicable Analysis, Jg. 89, 2010, Nr. 11, S. 1679 – 1691
    DOI
  • Alt, Walter; Griesse, Roland; Metla, Nataliya; Rösch, Arnd
    Lipschitz stability for elliptic optimal control problems with mixed control-state constraints
    In: Optimization, Jg. 59, 2010, Nr. 6, S. 833 – 849
    DOI
  • Griesse, Roland; Metla, Nataliya; Rösch, Arnd
    Local quadratic convergence of SQP for elliptic optimal control problems with mixed control-state constraints
    In: Control and Cybernetics, Jg. 39, 2010, Nr. 3, S. 717 – 738
  • Rösch, Arnd; Neitzel, Ira; Krumbiegel, Klaus
    Sufficient optimality conditions for the Moreau-Yosida-type regularization concept applied to semilinear elliptic optimal control problems with pointwise state constraints
    In: Annals of the Academy of Romanian Scientists: Series on Mathematics and its Applications, Jg. 2, 2010, Nr. 2, S. 222 – 246
    Online Volltext (Open Access)
  • Rösch, Arnd
    Was man simulieren kann, kann man auch optimieren... : zur mathematischen Optimierung komplexer technologischer Prozesse
    In: Unikate: Berichte aus Forschung und Lehre, 2008, Nr. 33: Mathematik: eine lebendige Wissenschaft, S. 22 – 29
    DOI, Online Volltext (Open Access)
  • Rösch, Arnd; Simon, René
    Superconvergence Properties for Optimal Control Problems Discretized by Piecewise Linear and Discontinuous Functions
    In: Numerical functional analysis and optimization, Jg. 28, 2007, Nr. 3-4, S. 425 – 443
    DOI
  • Rösch, Arnd; Simon, René
    Linear and Discontinuous Approximations for Optimal Control Problems
    In: Numerical functional analysis and optimization, Jg. 26, 2005, Nr. 3, S. 427 – 448
    DOI

    • Vorworte / Nachworte

  • Beuchler, Sven; Rösch, Arnd
    Recent Advances in Finite Element Methods
    In: Computational Methods in Applied Mathematics. Berlin; Minsk: De Gruyter, Jg. 23, 2023, Nr. 4, S. 813 – 815
    DOI (Open Access)
  • Casas, Eduardo; Clason, Christian; Rösch, Arnd
    Preface : special issue on system modeling and optimization
    In: Mathematical Control and Related Fields (MCRF). Springfield: American Institute of Mathematical Sciences (AIMS), Jg. 11, 2021, Nr. 3, S. i
    DOI (Open Access)
  • Tröltzsch, Fredi; Rösch, Arnd
    Introduction
    In: Computational Optimization and Applications. New York: Springer, Jg. 52, 2012, Nr. 1, S. 1 – 2
    DOI

    • Beiträge in Sammelwerken und Tagungsbänden

  • Apel, Thomas; Mateos, Mariano; Pfefferer, Johannes; Rösch, Arnd
    Superconvergent Graded Meshes for an Elliptic Dirichlet Control Problem
    In: Advanced Finite Element Methods with Applications: Selected Papers from the 30th Chemnitz Finite Element Symposium 2017 / Apel, Thomas; Langer, Ulrich; Meyer, Arnd; Steinbach, Olaf; 30th Chemnitz Finite Element Symposium 2017. Cham: Springer Verlag, Jg. 128, 2019, S. 1 – 16
    DOI
  • Kohls, Kristina; Rösch, Arnd; Siebert, Kunibert G.
    Convergence of Adaptive Finite Elements for Optimal Control Problems with Control Constraints
    In: Trends in PDE Constrained Optimization / Leugering, Günter; Benner, Peter; Engell, Sebastian (Hrsg.). Cham: Springer International Publishing, 2014, S. 403 – 419
    DOI
  • Apel, Thomas; Pfefferer, Johannes; Rösch, Arnd
    Graded Meshes in Optimal Control for Elliptic Partial Differential Equations : An Overview
    In: Trends in PDE Constrained Optimization / Leugering, Günter; Engell, Sebastian; Benner, Peter (Hrsg.). Cham: Springer International Publishing, 2014, S. 285 – 302
    DOI
  • Herzog, Roland; Rösch, Arnd; Ulbrich, Stefan; Wollner, Winnifried
    OPTPDE : A Collection of Problems in PDE-Constrained Optimization
    In: Trends in PDE Constrained Optimization / Leugering, Günter; Benner, Peter; Engell, Sebastian (Hrsg.). Cham: Springer International Publishing, 2014, S. 539 – 543
    DOI
  • Kohls, Kristina; Rösch, Arnd; Siebert, Kunibert G.
    A Posteriori Error Estimators for Control Constrained Optimal Control Problems
    In: Constrained Optimization and Optimal Control for Partial Differential Equations / Leugering, Günter; Engell, Sebastian; Griewank, Andreas; Hinze, Michael; Rannacher, Rolf; Schulz, Volker; Ulbrich, Michael; Ulbrich, Stefan (Hrsg.). Basel: Springer, 2012, S. 431 – 443
    DOI
  • Hinze, Michael; Rösch, Arnd
    Discretization of optimal control problems
    In: Constrained Optimization and Optimal Control for Partial Differential Equations / Leugering, Günter; Engell, Sebastian; Griewank, Andreas; Hinze, Michael; Rannacher, Rolf; Schulz, Volker; Ulbrich, Michael; Ulbrich, Stefan (Hrsg.). Basel: Springer, 2012, S. 391 – 430
    DOI

    • Bücher/Sammelwerke/Tagungsbände

  • Kohls, Kristina; Rösch, Arnd; Siebert, Kunibert
    A posteriori error estimators for control constrained optimal control problems
    2010
    (Schriftenreihe der Fakultät für Mathematik / Universität Duisburg-Essen ; 711)