WIAS Preprint List: Hintermüller, Michael

• 3175: Sander, Aaron; Fröhlich, Maximilian; Eigel, Martin; Eisert, Jens; Gelß, Patrick; Hintermüller, Michael; Milbradt, Richard M.; Wille, Robert; Mendl, Christian B.
  Large-scale stochastic simulation of open quantum systems
  
• 3152: Alphonse, Amal; Hintermüller, Michael; Kister, Alexander; Lun, Chin Hang; Sirotenko, Clemens
  A neural network approach to learning solutions of a class of elliptic variational inequalities
  
• 3135: Dong, Guozhi; Hintermüller, Michael; Sirotenko, Clemens
  Dictionary learning based regularization in quantitative MRI: A nested alternating optimization framework
  
• 3132: Alphonse, Amal; Christof, Constantin; Hintermüller, Michael; Papadopoulos, Ioannis
  A globalized inexact semismooth Newton method for nonsmooth fixed-point equations involving variational inequalities
  
• 3105: Dong, Guozhi; Flaschel, Moritz; Hintermüller, Michael; Papafitsoros, Kostas; Sirotenko, Clemens; Tabelow, Karsten
  Data-driven methods for quantitative imaging
  Appeared in: GAMM-Mitt., 48 (2025), pp. e202470014/1-- e202470014/35 (published online on 06.11.2024), DOI 10.1002/gamm.202470014 .
• 3093: Alphonse, Amal; Hintermüller, Michael; Rautenberg, Carlos N.; Wachsmuth, Gerd
  Minimal and maximal solution maps of elliptic QVIs: Penalisation, Lipschitz stability, differentiability and optimal control
  
• 3052: Hintermüller, Michael; Korolev, Denis
  A hybrid physics-informed neural network based multiscale solver as a partial differential equation constrained optimization problem
  
• 3016: Bongarti, Marcelo; Hintermüller, Michael
  Optimal boundary control of the isothermal semilinear Euler equation for gas dynamics on a network
  Appeared in: Appl. Math. Optim., 89 (2024), pp. 36/1--36/48, DOI 10.1007/s00245-023-10088-0 .
• 2964: Dong, Guozhi; Hintermüller, Michael; Papafitsoros, Kostas
  A descent algorithm for the optimal control of ReLU neural network informed PDEs based on approximate directional derivatives
  Appeared in: SIAM J. Optim., 34 (2024), pp. 2314--2349, DOI 10.1137/22M1534420 .
• 2962: Alphonse, Amal; Geiersbach, Caroline; Hintermüller, Michael; Surowiec, Thomas M.
  Risk-averse optimal control of random elliptic VIs
  
• 2940: Dong, Guozhi; Hintermüller, Michael; Papafitsoros, Kostas; Völkner, Kathrin
  First-order conditions for the optimal control of learning-informed nonsmooth PDEs
  Appeared in: Numer. Funct. Anal. Optim., published online on 23.04.2025, DOI 10.1080/01630563.2025.2488796 .
• 2924: Hintermüller, Michael; Keil, Tobias
  Strong stationarity conditions for the optimal control of a Cahn--Hilliard--Navier--Stokes system
  Appeared in: Appl. Math. Optim., 89 (2024), pp. 12/1--12/28 (published online on 05.12.2023), DOI 10.1007/s00245-023-10063-9 .
• 2899: Gugat, Martin; Habermann, Jens; Hintermüller, Michael; Huber, Olivier
  Constrained exact boundary controllability of a semilinear model for pipeline gas flow
  Appeared in: Special Issue “The Mathematics in Renewable Energies”, B. Wagner, M. Timme, eds., vol. 34 of European Journal of Applied Mathematics, Cambridge University Press, 2023, pp. 532--553, DOI 10.1017/S0956792522000389 .
• 2879: Hintermüller, Michael; Stengl, Steven-Marian
  A generalized $Gamma$-convergence concept for a type of equilibrium problems
  Appeared in: J. Nonlinear Sci., 34 (2024), pp. 83/1--83/28, DOI 10.1007/s00332-024-10059-x .
• 2871: Hintermüller, Michael; Kröner, Axel
  Differentiability properties for boundary control of fluid-structure interactions of linear elasticity with Navier--Stokes equations with mixed-boundary conditions in a channel
  Appeared in: Appl. Math. Optim., 87 (2023), pp. 15/1--15/38, DOI 10.1007/s00245-022-09938-0 .
• 2862: Geiersbach, Caroline; Hintermüller, Michael
  Optimality conditions and Moreau--Yosida regularization for almost sure state constraints
  Appeared in: ESAIM Control Optim. Calc. Var., 28 (2022), pp. 80/1--80/36, DOI 10.1051/cocv/2022070 .
• 2759: Hintermüller, Michael; Stengl, Steven-Marian
  On the convexity of optimal control problems involving non-linear PDEs or VIs and applications to Nash games (changed title: Vector-valued convexity of solution operators with application to optimal control problems)
  
• 2758: Alphonse, Amal; Hintermüller, Michael; Rautenberg, Carlos N.
  On the differentiability of the minimal and maximal solution maps of elliptic quasi-variational inequalities
  Appeared in: J. Math. Anal. Appl., 507 (2022), pp. 125732/1--125732/19, DOI 10.1016/j.jmaa.2021.125732 .
• 2756: Alphonse, Amal; Hintermüller, Michael; Rautenberg, Carlos N.
  Optimal control and directional differentiability for elliptic quasi-variational inequalities
  Appeared in: Set-Valued Var. Anal., 30 (2022), pp. 873--922, DOI 10.1007/s11228-021-00624-x .
• 2754: Dong, Guozhi; Hintermüller, Michael; Papafitsoros, Kostas
  Optimization with learning-informed differential equation constraints and its applications
  Appeared in: ESAIM Control Optim. Calc. Var., 28 (2022), pp. 3/1--3/44, DOI 10.1051/cocv/2021100 .
• 2703: Hintermüller, Michael; Stengl, Steven-Marian; Surowiec, Thomas M.
  Uncertainty quantification in image segmentation using the Ambrosio--Tortorelli approximation of the Mumford--Shah energy
  Appeared in: J. Math. Imaging Vision, 63 (2021), pp. 1095--1117, DOI 10.1007/s10851-021-01034-2 .
• 2689: Hintermüller, Michael; Papafitsoros, Kostas; Rautenberg, Carlos N.; Sun, Hongpeng
  Dualization and automatic distributed parameter selection of total generalized variation via bilevel optimization
  Appeared in: Numer. Funct. Anal. Optim., 43 (2022), pp. 887--932, DOI 10.1080/01630563.2022.2069812 .
• 2654: Gahururu, Deborah; Hintermüller, Michael; Stengl, Steven-Marian; Surowiec, Thomas M.
  Generalized Nash equilibrium problems with partial differential operators: Theory, algorithms, and risk aversion
  Appeared in: Non-Smooth and Complementarity-Based Distributed Parameter Systems: Simulation and Hierarchical Optimization, M. Hintermüller, R. Herzog, Ch. Kanzow, M. Ulbrich, S. Ulbrich, eds., vol. 172 of International Series of Numerical Mathematics, Birkhäuser, Springer Nature Switzerland AG, Cham, 2022, pp. 145--181.
• 2628: Hintermüller, Michael; Papafitsoros, Kostas; Rautenberg, Carlos N.
  Variable step mollifiers and applications
  Appeared in: Integral Equations Operator Theory, 92 (2020), 53, DOI 10.1007/s00020-020-02608-2 .
• 2617: Gräßle, Carmen; Hintermüller, Michael; Hinze, Michael; Keil, Tobias
  Simulation and control of a nonsmooth Cahn--Hilliard Navier--Stokes system with variable fluid densities
  Appeared in: Non-Smooth and Complementarity-Based Distributed Parameter Systems: Simulation and Hierarchical Optimization, M. Hintermüller, R. Herzog, Ch. Kanzow, M. Ulbrich, S. Ulbrich, eds., vol. 172 of International Series of Numerical Mathematics, Birkhäuser, Springer Nature Switzerland AG, Cham, 2022, pp. 211--240.
• 2612: Hintermüller, Michael; Keil, Tobias
  Optimal control of geometric partial differential equations
  Appeared in: M. Hintermüller, T. Keil, Chapter 3: Optimal Control of Geometric Partial Differential Equations, in: Geometric Partial Differential Equations: Part 2, A. Bonito, R.H. Nochetto, eds., vol. 22 of Handbook of Numerical Analysis, Elsevier, 2021, pp. 213--270, DOI 10.1016/bs.hna.2020.10.003 .
• 2611: Hintermüller, Michael; Papafitsoros, Kostas
  Generating structured non-smooth priors and associated primal-dual methods
  Appeared in: M. Hintermüller, K. Papafitsoros, Chapter 11: Generating Structured Nonsmooth Priors and Associated Primal-dual Methods, in: Processing, Analyzing and Learning of Images, Shapes, and Forms: Part 2 , R. Kimmel, X.-Ch. Tai, eds., vol. 20 of Handbook of Numerical Analysis, Elsevier, 2019, pp. 437--502, DOI 10.1016/bs.hna.2019.08.001 .
• 2592: Alphonse, Amal; Hintermüller, Michael; Rautenberg, Carlos N.
  Existence, iteration procedures and directional differentiability for parabolic QVIs
  Appeared in: Calc. Var. Partial Differ. Equ., 59 (2020), pp. 95/1--95/53, DOI 10.1007/s00526-020-01732-6 .
• 2591: Dong, Guozhi; Hintermüller, Michael; Zhang, Ye
  A class of second-order geometric quasilinear hyperbolic PDEs and their application in imaging science
  Appeared in: SIAM J. Imaging Sci., 14 (2021), pp. 645--688, DOI 10.1137/20M1366277 .
• 2582: Alphonse, Amal; Hintermüller, Michael; Rautenberg, Carlos N.
  Stability of the solution set of quasi-variational inequalities and optimal control
  Appeared in: SIAM J. Control Optim., 58 (2020), pp. 3508--3532, DOI 10.1137/19M1250327 .
• 2537: Hajian, Soheil; Hintermüller, Michael; Schillings, Claudia; Strogies, Nikolai
  A Bayesian approach to parameter identification in gas networks
  Appeared in: Control Cybernet., 48 (2019), pp. 377--402.
• 2528: Dong, Guozhi; Hintermüller, Michael; Papafitsoros, Kostas
  A physically oriented method for quantitative magnetic resonance imaging
  Appeared in: SIAM J. Imaging Sci., 2 (2019), pp. 927-971, DOI 10.1137/18M1222211 .
• 2518: Alphonse, Amal; Hintermüller, Michael; Rautenberg, Carlos N.
  Recent trends and views on elliptic quasi-variational inequalities
  Appeared in: Topics in Applied Analysis and Optimisation, M. Hintermüller, J.F. Rodrigues, eds., CIM Series in Mathematical Sciences, Springer Nature Switzerland AG, Cham, 2019, pp. 1--31.
• 2500: Adam, Lukáš; Hintermüller, Michael; Peschka, Dirk; Surowiec, Thomas M.
  Optimization of a multiphysics problem in semiconductor laser design
  Appeared in: SIAM Journal on Applied Mathematics, 79(1) (2019), pp. 257--283, DOI 10.1137/18M1179183 .
• 2492: Alphonse, Amal; Hintermüller, Michael; Rautenberg, Carlos N.
  Directional differentiability for elliptic quasi-variational inequalities of obstacle type
  Appeared in: Calc. Var. Partial Differ. Equ., 58 (2019), pp. 39/1--39/47, DOI 10.1007/s00526-018-1473-0 .
• 2446: Hintermüller, Michael; Rautenberg, Carlos N.; Strogies, Nikolai
  Dissipative and non-dissipative evolutionary quasi-variational inequalities with gradient constraints
  Appeared in: Set-Valued Var. Anal., 27 (2019), pp. 433--468 (published online on 14.07.2018), DOI 10.1007/s11228-018-0489-0 .
• 2442: Hintermüller, Michael; Strogies, Nikolai
  On the consistency of Runge--Kutta methods up to order three applied to the optimal control of scalar conservation laws
  Appeared in: Numerical Analysis and Optimization, M. Al-Baali, L. Grandinetti, A. Purnama, eds., vol. 235 of Springer Proceedings in Mathematics & Statistics, Springer Nature Switzerland AG, Cham, 2019, pp. 119--154.
• 2437: Hintermüller, Michael; Holler, Martin; Papafitsoros, Kostas
  A function space framework for structural total variation regularization with applications in inverse problems
  Appeared in: Inverse Problems, 34 (2018), pp. 064002/1--064002/39, DOI 10.1088/1361-6420/aab586 .
• 2383: Hajian, Soheil; Hintermüller, Michael; Ulbrich, Stefan
  Total variation diminishing schemes in optimal control of scalar conservation laws
  Appeared in: IMA J. Numer. Anal., 39 (2019), pp. 105--140 (published online on 14.12.2017), DOI 10.1093/imanum/drx073 .
• 2379: Hintermüller, Michael; Langer, Andreas; Rautenberg, Carlos N.; Wu, Tao
  Adaptive regularization for image reconstruction from subsampled data
  Appeared in: Imaging, Vision and Learning Based on Optimization and PDEs IVLOPDE, Bergen, Norway, August 29 - September 2, 2016, X.-Ch. Tai, E. Bae, M. Lysaker, eds., Mathematics and Visualization, Springer International Publishing, Berlin, 2017, pp. Part 1, Chapter 1, DOI 10.1007/978-3-319-91274-5 .
• 2377: Adam, Lukáš; Hintermüller, Michael; Surowiec, Thomas M.
  A PDE-constrained optimization approach for topology optimization of strained photonic devices
  Appeared in: Optim. Eng., 19 (2018), pp. 521--557, DOI 10.1007/s11081-018-9394-5 .
• 2376: Hintermüller, Michael; Rösel, Simon
  Duality results and regularization schemes for Prandtl--Reuss perfect plasticity
  Appeared in: ESAIM Control Optim. Calc. Var., published online on 01.03.2021, DOI 10.1051/cocv/2018004 .
• 2340: Adam, Lukáš; Hintermüller, Michael; Surowiec, Thomas M.
  A semismooth Newton method with analytical path-following for the $H^1$-projection onto the Gibbs simplex
  Appeared in: IMA J. Numer. Anal., 39 (2019), pp. 1276--1295 (published online on 07.06.2018), DOI 10.1093/imanum/dry034 .
• 2333: Hintermüller, Michael; Rautenberg, Carlos N.; Rösel, Simon
  Density of convex intersections and applications
  Appeared in: Proc. Roy. Soc. Edinburgh Sect. A, 473 (2017), pp. 20160919/1--20160919/28, DOI 10.1098/rspa.2016.0919 .
• 2311: Hintermüller, Michael; Hinze, Michael; Kahle, Christian; Keil, Tobias
  A goal-oriented dual-weighted adaptive finite element approach for the optimal control of a nonsmooth Cahn--Hilliard--Navier--Stokes system
  Appeared in: Optim. Eng., (2018), published online on 23.06.2018, DOI 10.1007/s11081-018-9393-6 .
• 2293: Hintermüller, Michael; Papafitsoros, Konstantinos; Rautenberg, Carlos N.
  Analytical aspects of spatially adapted total variation regularisation
  Appeared in: J. Math. Anal. Appl., 454 (2017), pp. 891--935, DOI 10.1016/j.jmaa.2017.05.025 .
• 2287: Hintermüller, Michael; Rautenberg, Carlos N.; Mohammadi, Masoumeh; Kanitsar, Martin
  Optimal sensor placement: A robust approach
  Appeared in: SIAM J. Control Optim., 55 (2017), pp. 3609--3639.
• 2237: Hintermüller, Michael; Rautenberg, Carlos N.
  On the uniqueness and numerical approximation of solutions to certain parabolic quasi-variational inequalities
  Appeared in: Port. Math., 74 (2017), pp. 1--35.
• 2236: Hintermüller, Michael; Rautenberg, Carlos N.; Wu, Tao; Langer, Andreas
  Optimal selection of the regularization function in a generalized total variation model. Part II: Algorithm, its analysis and numerical tests
  Appeared in: J. Math. Imaging Vision, 59 (2017), pp. 515--533.
• 2235: Hintermüller, Michael; Rautenberg, Carlos N.
  Optimal selection of the regularization function in a generalized total variation model. Part I: Modelling and theory
  Appeared in: J. Math. Imaging Vision, 59 (2017), pp. 498--514.
• 1792: Sturm, Kevin; Hintermüller, Michael; Hömberg, Dietmar
  Shape optimization for a sharp interface model of distortion compensation
  Appeared in: Comput. Optim. Appl., 64 (2016) pp. 557--588 under the title “Distortion compensation as a shape optimisation problem for a sharp interface model”