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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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2024 SS
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2023 WS
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2023 SS
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 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 - 1411Online Volltext: dx.doi.org/ (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 - 2496Online Volltext: dx.doi.org/
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Eddy current approximation in Maxwell obstacle problemsIn: Interfaces and Free Boundaries Jg. 25 (2023) Nr. 1, S. 1 - 36Online Volltext: dx.doi.org/ (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 - 2068Online Volltext: dx.doi.org/
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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 - 1110Online Volltext: dx.doi.org/
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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 - 304Online Volltext: dx.doi.org/ (Open Access)
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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) 100Online Volltext: dx.doi.org/ (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 - 964Online Volltext: dx.doi.org/ 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 - 1568Online Volltext: dx.doi.org/ (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 - 498Online Volltext: dx.doi.org/ Online Volltext (Open Access)
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Oversmoothing Tikhonov regularization in Banach spacesIn: Inverse Problems Jg. 37 (2021) Nr. 8, 085007Online Volltext: dx.doi.org/ (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 - 2272Online Volltext: dx.doi.org/ (Open Access)
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Variational source conditions in Lp-spacesIn: SIAM Journal on Mathematical Analysis Jg. 53 (2021) Nr. 3, S. 2863 - 2889Online Volltext: dx.doi.org/ (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 - 1964Online Volltext: dx.doi.org/
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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 - 2826Online Volltext: dx.doi.org/
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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, 045011Online Volltext: dx.doi.org/ (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) 34Online Volltext: dx.doi.org/ 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 - 8881Online Volltext: dx.doi.org/ 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 - 2706Online Volltext: dx.doi.org/ 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 - 120Online Volltext: dx.doi.org/ 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, 025001Online Volltext: dx.doi.org/ (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 - 2191Online Volltext: dx.doi.org/ (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 - 2810Online Volltext: dx.doi.org/ 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 - 2464Online Volltext: dx.doi.org/ 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 - 2332Online Volltext: dx.doi.org/ 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 - 261Online Volltext: dx.doi.org/
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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 - 277Online Volltext: dx.doi.org/ 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 - 98Online Volltext: dx.doi.org/ 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 - 270Online Volltext: dx.doi.org/
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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, 065006Online Volltext: dx.doi.org/ 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 - 3651Online Volltext: dx.doi.org/
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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 Jg. 154 (2012) Nr. 3, S. 879 - 903Online Volltext: dx.doi.org/
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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 - 581Online Volltext: dx.doi.org/
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PDE-constrained optimization of time-dependent 3D electromagnetic induction heating by alternating voltagesIn: Mathematical modelling and numerical analysis Jg. 46 (2012) Nr. 4, S. 709 - 729Online Volltext: dx.doi.org/
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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 - 1736Online Volltext: dx.doi.org/
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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 : COCV Jg. 16 (2010) Nr. 3, S. 503 - 522Online Volltext: dx.doi.org/
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Optimal control of a nonlinear coupled electromagnetic induction heating system with pointwise state constraintsIn: 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 - 66Online Volltext: dx.doi.org/
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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 - 212Online Volltext: dx.doi.org/
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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 - 279Online Volltext: dx.doi.org/
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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 - 755Online Volltext: dx.doi.org/
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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 - 603Online Volltext: dx.doi.org/
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Variational source condition for Ill-posed backward nonlinear Maxwell’s equationsBerlin (2018) 26 SeitenOnline Volltext; Online Volltext (Open Access)
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Fully discrete scheme for Bean's critical-state model with temperature effects in superconductivityBerlin (2018) 20 S.Online 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.) 2022, S. 499 - 519Online Volltext: dx.doi.org/