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Fakultät für Mathematik
Anschrift
Thea-Leymann-Str. 9
45127 Essen
45127 Essen
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WSC-O-4.52
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Universitätsprofessor/in, Mathematische Optimierung
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Gruppe der Professorinnen und Professoren, Fakultätsrat
Aktuelle Veranstaltungen
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2021 WS
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2021 SS
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2020 WS
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.
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A priori error estimates for the finite element approximation of a nonsmooth optimal control problem governed by a coupled semilinear pde-ode systemIn: SIAM Journal on Control and Optimization Jg. 59 (2021) Nr. 5, S. 3329 - 3358
ISSN: 0363-0129; 0036-1402; 0887-4603; 1095-7138Online Volltext: dx.doi.org/ -
A priori error estimates for the space-time finite element discretization of an optimal control problem governed by a coupled linear PDE-ODE systemIn: Mathematical Control and Related Fields (MCRF) Jg. 11 (2021) Nr. 3, S. 601 - 624
ISSN: 2156-8499; 2156-8472Online Volltext: dx.doi.org/ (Open Access) -
No-gap second-order optimality conditions for optimal control of a non-smooth quasilinear elliptic equationIn: Control, Optimisation and Calculus of Variations (ESAIM-COCV) Jg. 27 (2021)
ISSN: 1262-3377; 1292-8119Online Volltext: dx.doi.org/ (Open Access) -
No-gap second-order optimality conditions for optimal control of a non-smooth quasilinear elliptic equationIn: Control, Optimisation and Calculus of Variations (ESAIM-COCV) Jg. 27 (2021)
ISSN: 1292-8119; 1262-3377Online Volltext: dx.doi.org/ (Open Access) -
Numerical approximation of control problems of non-monotone and non-coercive semilinear elliptic equationsIn: Numerische Mathematik Jg. 149 (2021) Nr. 2, S. 305 - 340
ISSN: 0945-3245; 0029-599XOnline Volltext: dx.doi.org/ (Open Access) -
Optimal control of a non-smooth quasilinear elliptic equationIn: Mathematical Control and Related Fields (MCRF) Jg. 11 (2021) Nr. 3, S. 521 - 554
ISSN: 2156-8499; 2156-8472Online Volltext: dx.doi.org/ (Open Access) -
Analysis of control problems of nonmontone semilinear elliptic equationsIn: Control, Optimisation and Calculus of Variations (ESAIM-COCV) Jg. 26 (2020) S. 80
ISSN: 1262-3377; 1292-8119Online Volltext: dx.doi.org/ (Open Access) -
An inverse problem for determining right hand side of equations for hyperbolic equation of fourth orderIn: Advances in Differential Equations and Control Processes Jg. 20 (2019) Nr. 2, S. 143 - 161
ISSN: 0974-3243Online Volltext: dx.doi.org/ -
Error estimates for semilinear parabolic control problems in the absence of Tikhonov termIn: SIAM journal on control and optimization: a publication of the Society for Industrial and Applied Mathematics Jg. 57 (2019) Nr. 4, S. 2515 - 2540
ISSN: 0363-0129; 0036-1402; 1095-7138Online Volltext: dx.doi.org/ (Open Access) -
Optimierungsprobleme : Verschwundene Minima in der nichtlinearen OptimierungIn: Unikate: Berichte aus Forschung und Lehre (2019) Nr. 53: Mathematik - Herausforderung des Nichtlinearen, S. 69 - 72
ISBN: 978-3-934359-53-6 ISSN: 0944-6060; 1869-3881Online Volltext: dx.doi.org/ Online Volltext (Open Access) -
Error estimates for dirichlet control problems in polygonal domains : Quasi-uniform meshesIn: Mathematical Control and Related Fields Jg. 8 (2018) Nr. 1, S. 217 - 245
ISSN: 2156-8472; 2156-8499Online Volltext: dx.doi.org/ -
Improved approximation rates for a parabolic control problem with an objective promoting directional sparsityIn: Computational Optimization and Applications Jg. 70 (2018) Nr. 1, S. 239 - 266
ISSN: 1573-2894; 0926-6003Online Volltext: dx.doi.org/ Online Volltext (Open Access) -
Finite element approximation of sparse parabolic control problemsIn: Mathematical Control and Related Fields Jg. 7 (2017) Nr. 3, S. 393 - 417
ISSN: 2156-8499; 2156-8472Online Volltext: dx.doi.org/ -
Mass lumping for the optimal control of elliptic partial differential equationsIn: SIAM Journal on Numerical Analysis Jg. 55 (2017) Nr. 3, S. 1412 - 1436
ISSN: 1095-7170; 0036-1429Online Volltext: dx.doi.org/ -
Pontryagin’s Principle for Optimal Control Problem Governed by 3D Navier–Stokes EquationsIn: Journal of Optimization Theory and Applications Jg. 173 (2017) Nr. 1, S. 30 - 55
ISSN: 1573-2878; 0022-3239Online Volltext: dx.doi.org/ -
Reliable a posteriori error estimation for state-constrained optimal controlIn: Computational Optimization and Applications Jg. 68 (2017) Nr. 1, S. 121 - 162
ISSN: 1573-2894; 0926-6003Online Volltext: dx.doi.org/ -
Rechnen für langlebige Produkte : Optimierung von mechanischen SchädigungsprozessenIn: Unikate: Berichte aus Forschung und Lehre (2016) Nr. 48: Materials Chain : Forschung aus dem UA Ruhr-Profilschwerpunkt, S. 60 - 65
ISBN: 978-3-934359-48-2 ISSN: 0944-6060; 1869-3881Online Volltext: dx.doi.org/ Online Volltext (Open Access) -
Second-Order Optimality Conditions for Boundary Control Problems with Mixed Pointwise ConstraintsIn: SIAM journal on optimization Jg. 26 (2016) Nr. 3, S. 1912 - 1943
ISSN: 1095-7189Online Volltext: dx.doi.org/ -
Finite element discretization of state-constrained elliptic optimal control problems with semilinear state equationIn: SIAM journal on control and optimization Jg. 53 (2015) Nr. 2, S. 874 - 904
ISSN: 0363-0129Online Volltext: dx.doi.org/ -
Finite element error estimates on the boundary with application to optimal controlIn: Mathematics of Computation Jg. 84 (2015) Nr. 291, S. 33 - 70
ISSN: 0025-5718; 1088-6842 -
Introduction to the special issue for EUCCO 2013In: Computational optimization and applications Jg. 62 (2015) Nr. 1, S. 1 - 3
ISSN: 1573-2894; 0926-6003Online Volltext: dx.doi.org/ -
Lower semicontinuity of the solution map to a parametric elliptic optimal control problem with mixed pointwise constraintsIn: Optimization: A Journal of Mathematical Programming and Operations Research Jg. 64 (2015) Nr. 5, S. 1219 - 1238
ISSN: 0233-1934Online Volltext: dx.doi.org/ -
On the Regularity of the Solutions of Dirichlet Optimal Control Problems in Polygonal DomainsIn: SIAM journal on control and optimization Jg. 53 (2015) Nr. 6, S. 3620 - 3641
ISSN: 1095-7138Online Volltext: dx.doi.org/ (Open Access) -
Regularization in Sobolev Spaces with Fractional OrderIn: Numerical Functional Analysis and Optimization Jg. 36 (2015) Nr. 3, S. 271 - 286
ISSN: 1532-2467; 0163-0563Online Volltext: dx.doi.org/ -
Second-Order Necessary Optimality Conditions for a Class of Optimal Control Problems Governed by Partial Differential Equations with Pure State Constraints Authors Authors and affiliationsIn: Journal of Optimization Theory and Applications Jg. 165 (2015) Nr. 1, S. 30 - 61
ISSN: 1573-2878Online Volltext: dx.doi.org/ -
A Posteriori Error Analysis of Optimal Control Problems with Control ConstraintsIn: SIAM journal on control and optimization Jg. 52 (2014) Nr. 3, S. 1832 - 1861
ISSN: 1095-7138Online Volltext: dx.doi.org/ -
Identification of an unknown parameter function in the main part of an elliptic partial differential equationIn: Zeitschrift für Analysis und ihre Anwendungen = Journal for analysis and its applications Jg. 32 (2013) Nr. 2, S. 163 - 178
ISSN: 1661-4534; 0232-2064Online Volltext: dx.doi.org/ -
A priori error estimates for a state-constrained elliptic optimal control problemIn: Mathematical modelling and numerical analysis Jg. 46 (2012) Nr. 5, S. 1107 - 1120
ISSN: 1290-3841Online Volltext: dx.doi.org/ -
A-posteriori error estimates for optimal control problems with state and control constraintsIn: Numerische Mathematik Jg. 120 (2012) Nr. 4, S. 733 - 762
ISSN: 0029-599X; 0945-3245Online Volltext: dx.doi.org/ -
Finite element error estimates for Neumann boundary control problems on graded meshesIn: Computational Optimization and Applications Jg. 52 (2012) Nr. 1, S. 3 - 28
ISSN: 1573-2894Online Volltext: dx.doi.org/ -
Regularization for semilinear elliptic optimal control problems with pointwise state and control constraintsIn: Computational Optimization and Applications Jg. 52 (2012) Nr. 1, S. 181 - 207
ISSN: 1573-2894Online Volltext: dx.doi.org/ -
On saturation effects in the Neumann boundary control of elliptic optimal control problemsIn: Computational optimization and applications Jg. 49 (2011) Nr. 2, S. 359 - 378
ISSN: 1573-2894Online Volltext: dx.doi.org/ -
Semi-smooth Newton method for an optimal control problem with control and mixed control-state constraintsIn: Optimization methods & software Jg. 26 (2011) Nr. 2, S. 169 - 186
ISSN: 1029-4937Online Volltext: dx.doi.org/ -
Error estimates for joint Tikhonov and Lavrentiev regularization of constrained control problemsIn: Applicable analysis Jg. 89 (2010) Nr. 11, S. 1679 - 1691
ISSN: 1563-504XOnline Volltext: dx.doi.org/ -
Lipschitz stability for elliptic optimal control problems with mixed control-state constraintsIn: Optimization Jg. 59 (2010) Nr. 6, S. 833 - 849
ISSN: 1029-4945Online Volltext: dx.doi.org/ -
Local quadratic convergence of SQP for elliptic optimal control problems with mixed control-state constraintsIn: Control and Cybernetics Jg. 39 (2010) Nr. 3, S. 717 - 738
ISSN: 0324-8569 -
Sufficient optimality conditions for the Moreau-Yosida-type regularization concept applied to semilinear elliptic optimal control problems with pointwise state constraintsIn: Annals of the Academy of Romanian Scientists: Series on Mathematics and its Applications Jg. 2 (2010) Nr. 2, S. 222 - 246
ISSN: 2066-6594Online Volltext (Open Access) -
Was man simulieren kann, kann man auch optimieren... : zur mathematischen Optimierung komplexer technologischer ProzesseIn: Unikate: Berichte aus Forschung und Lehre (2008) Nr. 33: Mathematik: eine lebendige Wissenschaft, S. 22 - 29
ISSN: 0944-6060Online Volltext: dx.doi.org/ Online Volltext (Open Access) -
Superconvergence Properties for Optimal Control Problems Discretized by Piecewise Linear and Discontinuous FunctionsIn: Numerical functional analysis and optimization Jg. 28 (2007) Nr. 3-4, S. 425 - 443
ISSN: 1532-2467Online Volltext: dx.doi.org/ -
Linear and Discontinuous Approximations for Optimal Control ProblemsIn: Numerical functional analysis and optimization Jg. 26 (2005) Nr. 3, S. 427 - 448
ISSN: 1532-2467Online Volltext: dx.doi.org/ -
Preface : special issue on system modeling and optimizationIn: Mathematical Control and Related Fields (MCRF) Jg. 11 (2021) Nr. 3, S. i
ISSN: 2156-8499; 2156-8472Online Volltext: dx.doi.org/ (Open Access) -
IntroductionIn: Computational Optimization and Applications Jg. 52 (2012) Nr. 1, S. 1 - 2
ISSN: 1573-2894; 0926-6003Online Volltext: dx.doi.org/ -
Superconvergent Graded Meshes for an Elliptic Dirichlet Control ProblemIn: 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
ISBN: 9783030142438; 978-3-030-14246-9; 978-3-030-14244-5 ISSN: 2197-7100; 1439-7358Online Volltext: dx.doi.org/ -
Convergence of Adaptive Finite Elements for Optimal Control Problems with Control ConstraintsIn: Trends in PDE Constrained Optimization / Leugering, Günter; Benner, Peter; Engell, Sebastian (Hrsg.) 2014, S. 403 - 419
ISBN: 978-3-319-05082-9; 978-3-319-05083-6Online Volltext: dx.doi.org/ -
Graded Meshes in Optimal Control for Elliptic Partial Differential Equations : An OverviewIn: Trends in PDE Constrained Optimization / Leugering, Günter; Engell, Sebastian; Benner, Peter (Hrsg.) 2014, S. 285 - 302
ISBN: 978-3-319-05083-6; 978-3-319-05082-9Online Volltext: dx.doi.org/ -
OPTPDE : A Collection of Problems in PDE-Constrained OptimizationIn: Trends in PDE Constrained Optimization / Leugering, Günter; Benner, Peter; Engell, Sebastian (Hrsg.) 2014, S. 539 - 543
ISBN: 978-3-319-05082-9; 978-3-319-05083-6Online Volltext: dx.doi.org/ -
A Posteriori Error Estimators for Control Constrained Optimal Control ProblemsIn: 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
ISBN: 978-3-0348-0132-4; 978-3-0348-0133-1Online Volltext: dx.doi.org/ -
Discretization of optimal control problemsIn: 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
ISBN: 978-3-0348-0132-4; 978-3-0348-0133-1Online Volltext: dx.doi.org/ -
A posteriori error estimators for control constrained optimal control problems(2010) 13 S.
(Schriftenreihe der Fakultät für Mathematik / Universität Duisburg-Essen ; 711)