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Fakultät für Mathematik

Anschrift
Thea-Leymann-Str. 9
45127 Essen
Raum
WSC-O-4.52

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

  • Casas, Eduardo; Mateos, Mariano; Rösch, Arnd
    New second order sufficient optimality conditions for state constrained parabolic control problems
    In: Optimization (2024) in press
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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: A Journal of Mathematical Programming and Operations Research Jg. 64 (2015) Nr. 5, S. 1219 - 1238
  • 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
  • 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
  • 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 Authors Authors and affiliations
    In: Journal of Optimization Theory and Applications Jg. 165 (2015) Nr. 1, S. 30 - 61
  • 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
  • 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
  • Rösch, Arnd; Steinig, Simeon
    A priori error estimates for a state-constrained elliptic optimal control problem
    In: Mathematical modelling and numerical analysis Jg. 46 (2012) Nr. 5, S. 1107 - 1120
  • 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
  • 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
  • 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
  • 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
  • Rösch, Arnd; Wachsmuth, Daniel
    Semi-smooth Newton method for an optimal control problem with control and mixed control-state constraints
    In: Optimization methods & software Jg. 26 (2011) Nr. 2, S. 169 - 186
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • Vorworte / Nachworte

  • Beuchler, Sven; Rösch, Arnd
    Recent Advances in Finite Element Methods
    In: Computational Methods in Applied Mathematics Jg. 23 (2023) Nr. 4, S. 813 - 815
  • Casas, Eduardo; Clason, Christian; Rösch, Arnd
    Preface : special issue on system modeling and optimization
    In: Mathematical Control and Related Fields (MCRF) Jg. 11 (2021) Nr. 3, S. i
  • Tröltzsch, Fredi; Rösch, Arnd
    Introduction
    In: Computational Optimization and Applications Jg. 52 (2012) Nr. 1, S. 1 - 2
  • 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 Jg. 128 2019, S. 1 - 16
  • 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.) 2014, S. 403 - 419
  • 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.) 2014, S. 285 - 302
  • 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.) 2014, S. 539 - 543
  • 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.) 2012, S. 431 - 443
  • 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.) 2012, S. 391 - 430
  • Bücher/Sammelwerke/Tagungsbände

  • Kohls, Kristina; Rösch, Arnd; Siebert, Kunibert
    A posteriori error estimators for control constrained optimal control problems
    (2010) 13 S.
    (Schriftenreihe der Fakultät für Mathematik / Universität Duisburg-Essen ; 711)