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Thea-Leymann-Str. 9
45127 Essen
45127 Essen
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WSC-W-4.14
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Professor/in, Mathematik / Campus Essen
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Gruppe der Professorinnen und Professoren, Fakultätsrat
Aktuelle Veranstaltungen
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WiSe 2025
Vergangene Veranstaltungen (max. 10)
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SoSe 2025
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WiSe 2024
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SoSe 2024
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WiSe 2023
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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Numerical analysis for a hyperbolic pde-constrained optimization problem in acoustic full waveform inversion : Dedicated to the 60th birthday of Arnd RöschIn: Mathematical Control and Related Fields (MCRF), Jg. 15, 2025, Nr. 4, S. 1241 – 1261DOI, Online Volltext (Open Access)
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Numerical solutions to Hyperbolic Maxwell quasi-variational inequalities in Bean-Kim model for type-II superconductivityIn: Mathematical Modelling and Numerical Analysis (ESAIM-M2AN), Jg. 58, 2024, Nr. 4, S. 1385 – 1411DOI (Open Access)
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Acoustic Full Waveform Inversion via Optimal Control : First- and Second-Order AnalysisIn: SIAM Journal on Control and Optimization, Jg. 61, 2023, Nr. 4, S. 2468 – 2496
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Eddy current approximation in Maxwell obstacle problemsIn: Interfaces and Free Boundaries, Jg. 25, 2023, Nr. 1, S. 1 – 36DOI (Open Access)
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Quasilinear Variational Inequalities in Ferromagnetic Shielding : Well-Posedness, Regularity, and Optimal ControlIn: SIAM Journal on Control and Optimization, Jg. 61, 2023, Nr. 4, S. 2043 – 2068
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Numerical Analysis for Maxwell Obstacle Problems in Electric ShieldingIn: SIAM Journal on Numerical Analysis, Jg. 60, 2022, Nr. 3, S. 1083 – 1110
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Variational source conditions for inverse Robin and flux problems by partial measurementsIn: Inverse Problems and Imaging (IPI), Jg. 16, 2022, Nr. 2, S. 283 – 304
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High-order homogenization in optimal control by the Bloch wave methodIn: Control, Optimisation and Calculus of Variations (ESAIM-COCV), Jg. 27, 2021, 100DOI (Open Access)
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Level set-based shape optimization approach for sharp-interface reconstructions in time-domain full waveform inversionIn: SIAM Journal on Applied Mathematics, Jg. 81, 2021, Nr. 3, S. 939 – 964DOI, Online Volltext (Open Access)
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Maxwell quasi-variational inequalities in superconductivityIn: Mathematical Modelling and Numerical Analysis (ESAIM-M2AN), Jg. 55, 2021, Nr. 4, S. 1545 – 1568DOI (Open Access)
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Optimal control of elliptic variational inequalities with bounded and unbounded operatorsIn: Mathematical Control and Related Fields (MCRF), Jg. 11, 2021, Nr. 3, S. 479 – 498DOI, Online Volltext (Open Access)
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Oversmoothing Tikhonov regularization in Banach spacesIn: Inverse Problems, Jg. 37, 2021, Nr. 8, 085007DOI, Online Volltext (Open Access)
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Shape optimization for superconductors governed by h(curl)-elliptic variational inequalitiesIn: SIAM Journal on Control and Optimization, Jg. 59, 2021, Nr. 3, S. 2247 – 2272DOI, Online Volltext (Open Access)
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Variational source conditions in Lp-spacesIn: SIAM Journal on Mathematical Analysis, Jg. 53, 2021, Nr. 3, S. 2863 – 2889DOI, Online Volltext (Open Access)
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Adaptive edge element approximation for H(curl) elliptic variational inequalities of second kindIn: SIAM Journal on Numerical Analysis, Jg. 58, 2020, Nr. 3, S. 1941 – 1964
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An adaptive edge element approximation of a quasilinear H (curl)-elliptic problemIn: Mathematical Models and Methods in Applied Sciences, Jg. 30, 2020, Nr. 14, S. 2799 – 2826
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Consistency of a phase field regularisation for an inverse problem governed by a quasilinear Maxwell systemIn: Inverse Problems, Jg. 36, 2020, Nr. 4, 045011DOI (Open Access)
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Hyperbolic Maxwell variational inequalities of the second kindIn: Control, Optimisation and Calculus of Variations (ESAIM-COCV), Jg. 26, 2020, 34DOI, Online Volltext (Open Access)
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Well-posedness theory for electromagnetic obstacle problemsIn: Journal of Differential Equations, Jg. 269, 2020, Nr. 10, S. 8855 – 8881DOI, Online Volltext (Open Access)
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Fully discrete scheme for bean's critical-state model with temperature effects in superconductivityIn: SIAM Journal on Numerical Analysis, Jg. 57, 2019, Nr. 6, S. 2685 – 2706DOI, Online Volltext (Open Access)
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Supraleiter und Mathematik : Ohne elektrischen Widerstand auf dem Weg zur Energieversorgung von morgenIn: Unikate: Berichte aus Forschung und Lehre, 2019, Nr. 53: Mathematik - Herausforderung des Nichtlinearen, S. 111 – 120DOI, Online Volltext (Open Access)
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Variational source condition for ill-posed backward nonlinear Maxwell's equationsIn: Inverse Problems, Jg. 35, 2019, Nr. 2, 025001DOI (Open Access)
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A posteriori error analysis for the optimal control of magneto-static fieldsIn: Mathematical Modelling and Numerical Analysis (ESAIM-M2AN), Jg. 51, 2017, Nr. 6, S. 2159 – 2191DOI, Online Volltext (Open Access)
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Edge Element Method for Optimal Control of Stationary Maxwell System with Gauss LawIn: SIAM Journal on Numerical Analysis, Jg. 55, 2017, Nr. 6, S. 2787 – 2810DOI, Online Volltext (Open Access)
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Hyperbolic Maxwell Variational Inequalities for Bean's Critical-State Model in Type-II SuperconductivityIn: SIAM Journal on Numerical Analysis, Jg. 55, 2017, Nr. 5, S. 2444 – 2464DOI, Online Volltext (Open Access)
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Optimal Control of Non-Smooth Hyperbolic Evolution Maxwell Equations in Type-II SuperconductivityIn: SIAM Journal on Control and Optimization, Jg. 55, 2017, Nr. 4, S. 2305 – 2332DOI, Online Volltext (Open Access)
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Optimal control of the full time-dependent maxwell equationsIn: Mathematical Modelling and Numerical Analysis (ESAIM-M2AN), Jg. 50, 2016, Nr. 1, S. 237 – 261
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Adaptive edge element approximation of H(curl)-elliptic optimal control problems with control constraintsIn: BIT - Numerical Mathematics, Jg. 55, 2015, Nr. 1, S. 255 – 277DOI, Online Volltext (Open Access)
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Optimal bilinear control of eddy current equations with grad–div regularizationIn: Journal of Numerical Mathematics, Jg. 23, 2015, Nr. 1, S. 81 – 98DOI, Online Volltext (Open Access)
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Optimal control of electrorheological fluids through the action of electric fieldsIn: Computational Optimization and Applications, Jg. 62, 2015, Nr. 1, S. 241 – 270
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Shape sensitivities for an inverse problem in magnetic induction tomography based on the eddy current modelIn: Inverse Problems, Jg. 31, 2015, Nr. 6, 065006DOI, Online Volltext (Open Access)
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Optimal control of quasilinear H(curl)-elliptic partial differential equations in magnetostatic field problemsIn: SIAM Journal on Control and Optimization, Jg. 51, 2013, Nr. 5, S. 3624 – 3651
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Finite Element Analysis of an Optimal Control Problem in the Coefficients of Time-Harmonic Eddy Current EquationsIn: Journal of Optimization Theory and Applications (JOTA), Jg. 154, 2012, Nr. 3, S. 879 – 903
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Optimal control of Maxwell’s equations with regularized state constraintsIn: Computational Optimization and Applications, Jg. 52, 2012, Nr. 2, S. 559 – 581
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PDE-constrained optimization of time-dependent 3D electromagnetic induction heating by alternating voltagesIn: Mathematical Modelling and Numerical Analysis (ESAIM-M2AN), Jg. 46, 2012, Nr. 4, S. 709 – 729
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Optimal control of 3D state-constrained induction heating problems with nonlocal radiation effectsIn: SIAM Journal on Control and Optimization, Jg. 49, 2011, Nr. 4, S. 1707 – 1736
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A sensitivity-based extrapolation technique for the numerical solution of state-constrained optimal control problemsIn: Control, Optimisation and Calculus of Variations (ESAIM-COCV), Jg. 16, 2010, Nr. 3, S. 503 – 522
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Optimal control of a nonlinear coupled electromagnetic induction heating system with pointwise state constraintsIn: Annals of the Academy of Romanian Scientists: Series on Mathematics and its Applications, Jg. 2, 2010, Nr. 1, S. 45 – 77
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A regularization method for the numerical solution of elliptic boundary control problems with pointwise state constraintsIn: Computational optimization and applications, Jg. 42, 2009, Nr. 1, S. 43 – 66
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Regularization of state-constrained elliptic optimal control problems with nonlocal radiation interface conditionsIn: Computational optimization and applications, Jg. 44, 2009, Nr. 2, S. 183 – 212
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Regularized state-constrained boundary optimal control of the Navier–Stokes equationsIn: Journal of mathematical analysis and applications, Jg. 356, 2009, Nr. 1, S. 257 – 279
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Source Representation Strategy for Optimal Boundary Control Problems with State ConstraintsIn: Zeitschrift für Analysis und ihre Anwendungen = Journal for analysis and its applications, Jg. 28, 2009, Nr. 2, S. 189 – 203
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State-constrained optimal control of semilinear elliptic equations with nonlocal radiation interface conditionsIn: SIAM journal on control and optimization, Jg. 48, 2009, Nr. 2, S. 734 – 755
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Mesh-independence of semismooth Newton methods for Lavrentiev-regularized state constrained nonlinear optimal control problemsIn: Numerische Mathematik, Jg. 108, 2008, Nr. 4, S. 571 – 603
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Variational source condition for Ill-posed backward nonlinear Maxwell’s equationsBerlin, 2018Online Volltext, Online Volltext (Open Access)
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Maxwell Variational Inequalities in Type-II SuperconductivityIn: Non-Smooth and Complementarity-Based Distributed Parameter Systems: Simulation and Hierarchical Optimization / Hintermüller, Michael; Herzog, Roland; Kanzow, Christian; Ulbrich, Michael; Ulbrich, Stefan (Hrsg.). Cham; Basel; Boston, Mass.; Berlin: Springer, 2022, S. 499 – 519