Edit Profile (opens in new tab) Hintermüller, Michael Compute Distance To: Compute Author ID: hintermuller.michael Published as: Hintermüller, Michael; Hintermüller, M.; Hintermueller, Michael more...less External Links: MGP · dblp Documents Indexed: 154 Publications since 1998, including 1 Book 9 Contributions as Editor Co-Authors: 111 Co-Authors with 150 Joint Publications 3,802 Co-Co-Authors all top 5 Co-Authors 12 single-authored 21 Rautenberg, Carlos N. 18 Kunisch, Karl 14 Surowiec, Thomas 12 Hinze, Michael 10 Laurain, Antoine 8 Kovtunenko, Viktor Anatolievich 7 Alphonse, Amal 7 Dong, Yiqiu 7 Hoppe, Ronald H. W. 6 Keil, Tobias 6 Wu, Tao 5 Löbhard, Caroline 5 Papafitsoros, Kostas 4 Langer, Andreas 4 Leugering, Günter 4 Ring, Wolfgang 4 Sokołowski, Jan 4 Strogies, Nikolai 4 Ulbrich, Stefan 4 Wegner, Donat Matthias 3 Adam, Lukáš 3 Kahle, Christian 3 Kopacka, Ian 3 Rincon-Camacho, Mariá Monserrat 3 Rösel, S. 3 Tber, Moulay Hicham 3 Volkwein, Stefan 3 Yousept, Irwin 2 Dong, Guozhi 2 Elliott, Charles M. 2 Gahururu, Deborah B. 2 Hajian, Soheil 2 Herzog, Roland 2 Keeling, Stephen L. 2 Neri, Marrick C. 2 Rocca, Elisabetta 2 Scharfetter, Hermann 2 Stadler, Georg 2 Steidl, Gabriele 2 Stengl, Steven-Marian 2 Ulbrich, Michael 1 Antil, Harbir 1 Arridge, Simon R. 1 Aujol, Jean-François 1 Bachhiesl, Peter 1 Banz, Lothar 1 Bergounioux, Maïtine 1 Bredies, Kristian 1 Brett, Charles 1 Burger, Martin 1 Chambolle, Antonin 1 Chan, Raymond Hon-Fu 1 Chen, Ke 1 De los Reyes, Juan Carlos 1 Diwoky, Franz 1 Du, Qiang 1 Fadili, Jalal M. 1 Gaevskaya, Alexandra 1 Geiersbach, Caroline 1 Gräßle, Carmen 1 Gugat, Martin 1 Habermann, Jens 1 Haddou, Mounir 1 Hahn, Jooyoung 1 Hinterberger, Walter 1 Holler, Martin 1 Hömberg, Dietmar 1 Huber, Olivier 1 Hutten, H. 1 Iliash, Yuri 1 Ito, Kazufumi 1 Kämmler, A. 1 Kanitsar, Martin 1 Kanzow, Christian 1 Kao, Chiu-Yen 1 Kappel, Franz 1 Kieweg, Michael 1 Knoll, Florian 1 Kraft, Daniel 1 Kröner, Axel 1 Marahrens, Daniel 1 Markowich, Peter Alexander 1 Mohammadi, Masoumeh 1 Mordukhovich, Boris S. 1 Nochetto, Ricardo Horacio 1 Novotny, Antonio André 1 Papafitsoros, Konstantinos 1 Peschka, Dirk 1 Peyré, Gabriel 1 Plonka-Hoch, Gerlind 1 Pock, Thomas 1 Rincon-Camacho, Monserrat 1 Rincon, Monserrat 1 Rodrigues, José Francisco 1 Scherzer, Otmar 1 Schiela, Anton 1 Schillings, Claudia 1 Schnörr, Christoph 1 Schönlieb, Carola-Bibiane 1 Schroder, Andreas ...and 11 more Co-Authors all top 5 Serials 13 SIAM Journal on Optimization 11 SIAM Journal on Control and Optimization 10 Journal of Mathematical Imaging and Vision 7 Inverse Problems 7 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 Computational Optimization and Applications 5 Control and Cybernetics 5 SIAM Journal on Imaging Sciences 4 Mathematical Programming. Series A. Series B 4 Optimization Methods & Software 3 Journal of Mathematical Analysis and Applications 3 SIAM Journal on Applied Mathematics 3 Interfaces and Free Boundaries 3 Oberwolfach Reports 3 Inverse Problems and Imaging 3 Set-Valued and Variational Analysis 2 Computers & Mathematics with Applications 2 IMA Journal of Applied Mathematics 2 IMA Journal of Numerical Analysis 2 Applied Mathematics and Optimization 2 Numerical Functional Analysis and Optimization 2 Numerische Mathematik 2 Calculus of Variations and Partial Differential Equations 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Optimization and Engineering 2 PAMM. Proceedings in Applied Mathematics and Mechanics 1 International Journal for Numerical Methods in Fluids 1 Journal of Computational Physics 1 Journal of Engineering Mathematics 1 Matimyás Matematika 1 Applied Mathematics and Computation 1 Integral Equations and Operator Theory 1 Journal of Computational and Applied Mathematics 1 Journal of Optimization Theory and Applications 1 Quarterly of Applied Mathematics 1 SIAM Journal on Numerical Analysis 1 Journal of Computational Mathematics 1 Numerical Methods for Partial Differential Equations 1 Journal of Scientific Computing 1 European Journal of Applied Mathematics 1 International Journal of Computer Mathematics 1 Advances in Mathematical Sciences and Applications 1 SIAM Journal on Scientific Computing 1 International Journal of Computer Vision 1 Advances in Computational Mathematics 1 Computer Assisted Mechanics and Engineering Sciences 1 The ANZIAM Journal 1 IEEE Transactions on Image Processing 1 Portugaliae Mathematica. Nova Série 1 Pacific Journal of Optimization 1 ISNM. International Series of Numerical Mathematics 1 CIM Series in Mathematical Sciences 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 European Mathematical Society Magazine all top 5 Fields 110 Calculus of variations and optimal control; optimization (49-XX) 87 Numerical analysis (65-XX) 54 Operations research, mathematical programming (90-XX) 39 Partial differential equations (35-XX) 31 Information and communication theory, circuits (94-XX) 22 Computer science (68-XX) 14 Mechanics of deformable solids (74-XX) 14 Fluid mechanics (76-XX) 12 Operator theory (47-XX) 10 General and overarching topics; collections (00-XX) 5 Biology and other natural sciences (92-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 History and biography (01-XX) 3 Functional analysis (46-XX) 3 Systems theory; control (93-XX) 2 Real functions (26-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 124 Publications have been cited 2,196 times in 1,292 Documents Cited by ▼ Year ▼ The primal-dual active set strategy as a semismooth Newton method. Zbl 1080.90074Hintermüller, M.; Ito, K.; Kunisch, K. 381 2003 An infeasible primal-dual algorithm for total bounded variation–based Inf-convolution-type image restoration. Zbl 1136.94302Hintermüller, M.; Stadler, G. 62 2006 Total bounded variation regularization as a bilaterally constrained optimization problem. Zbl 1055.94504Hintermüller, M.; Kunisch, K. 57 2004 A comparison of a Moreau-Yosida-based active set strategy and interior point methods for constrained optimal control problems. Zbl 1001.49034Bergounioux, M.; Haddou, M.; Hintermüller, M.; Kunisch, K. 53 2000 Automated regularization parameter selection in multi-scale total variation models for image restoration. Zbl 1255.68230Dong, Yiqiu; Hintermüller, Michael; Rincon-Camacho, M. Monserrat 53 2011 An a posteriori error analysis of adaptive finite element methods for distributed elliptic control problems with control constraints. Zbl 1157.65039Hintermüller, Michael; Hoppe, Ronald H. W.; Iliash, Yuri; Kieweg, Michael 51 2008 Path-following methods for a class of constrained minimization problems in function space. Zbl 1137.49028Hintermüller, Michael; Kunisch, Karl 49 2006 Mathematical programs with complementarity constraints in function space: C- and strong stationarity and a path-following algorithm. Zbl 1189.49032Hintermüller, M.; Kopacka, I. 48 2009 Feasible and noninterior path-following in constrained minimization with low multiplier regularity. Zbl 1121.49030Hintermüller, M.; Kunisch, K. 46 2006 A mesh-independence result for semismooth Newton methods. Zbl 1079.65065Hintermüller, Michael; Ulbrich, Michael 43 2004 Distributed optimal control of the Cahn-Hilliard system including the case of a double-obstacle homogeneous free energy density. Zbl 1250.35131Hintermüller, M.; Wegner, Donat 42 2012 Optimal control of a semidiscrete Cahn-Hilliard-Navier-Stokes system. Zbl 1293.49045Hintermüller, M.; Wegner, Donat 40 2014 An efficient primal-dual method for \(L^1\)TV image restoration. Zbl 1187.68653Dong, Yiqiu; Hintermüller, Michael; Neri, Marrick 40 2009 A second order shape optimization approach for image segmentation. Zbl 1073.68095Hintermüller, Michael; Ring, Wolfgang 38 2003 A proximal bundle method based on approximate subgradients. Zbl 1054.90053Hintermüller, Michael 37 2001 Moreau-Yosida regularization in state constrained elliptic control problems: error estimates and parameter adjustment. Zbl 1191.49036Hintermüller, Michael; Hinze, Michael 34 2009 Goal-oriented adaptivity in control constrained optimal control of partial differential equations. Zbl 1167.49029Hintermüller, M.; Hoppe, R. H. W. 32 2008 Electrical impedance tomography: from topology to shape. Zbl 1194.49062Hintermüller, Michael; Laurain, Antoine 31 2008 Nonconvex TV\(^q\)-models in image restoration: analysis and a trust-region regularization-based superlinearly convergent solver. Zbl 1281.65033Hintermüller, Michael; Wu, Tao 31 2013 An adaptive finite-element Moreau-Yosida-based solver for a non-smooth Cahn-Hilliard problem. Zbl 1366.74070Hintermüller, M.; Hinze, M.; Tber, M. H. 29 2011 An adaptive finite element Moreau-Yosida-based solver for a coupled Cahn-Hilliard/Navier-Stokes system. Zbl 1291.65300Hintermüller, M.; Hinze, M.; Kahle, C. 27 2013 Second-order topological expansion for electrical impedance tomography. Zbl 1243.49049Hintermüller, M.; Laurain, A.; Novotny, A. A. 27 2012 Subspace correction methods for a class of nonsmooth and nonadditive convex variational problems with mixed \(L^1/L^2\) data-fidelity in image processing. Zbl 1279.68327Hintermüller, Michael; Langer, Andreas 26 2013 Several approaches for the derivation of stationarity conditions for elliptic MPECs with upper-level control constraints. Zbl 1332.90300Hintermüller, Michael; Mordukhovich, Boris S.; Surowiec, Thomas M. 25 2014 Obstacle problems with cohesion: a hemivariational inequality approach and its efficient numerical solution. Zbl 1228.49012Hintermüller, M.; Kovtunenko, V. A.; Kunisch, K. 24 2011 PDE-constrained optimization subject to pointwise constraints on the control, the state, and its derivative. Zbl 1195.49037Hintermüller, Michael; Kunisch, Karl 24 2009 First-order optimality conditions for elliptic mathematical programs with equilibrium constraints via variational analysis. Zbl 1248.49030Hintermüller, M.; Surowiec, T. 22 2011 The length of the primal-dual path in Moreau-Yosida-based path-following methods for state constrained optimal control. Zbl 1408.49026Hintermüller, Michael; Schiela, Anton; Wollner, Winnifried 21 2014 Optimal control of a semidiscrete Cahn-Hilliard-Navier-Stokes system with nonmatched fluid densities. Zbl 1368.49022Hintermüller, Michael; Keil, Tobias; Wegner, Donat 21 2017 Optimal shape design subject to elliptic variational inequalities. Zbl 1228.49045Hintermüller, M.; Laurain, A. 21 2011 Optimal selection of the regularization function in a weighted total variation model. I: Modelling and theory. Zbl 1382.94015Hintermüller, Michael; Rautenberg, Carlos N. 20 2017 Shape sensitivities for an inverse problem in magnetic induction tomography based on the eddy current model. Zbl 1335.35297Hintermüller, Michael; Laurain, Antoine; Yousept, Irwin 19 2015 Non-overlapping domain decomposition methods for dual total variation based image denoising. Zbl 1323.65016Hintermüller, Michael; Langer, Andreas 19 2015 A SQP-semismooth Newton-type algorithm applied to control of the instationary Navier–Stokes system subject to control constraints. Zbl 1131.90073Hintermüller, M.; Hinze, M. 19 2006 Optimal selection of the regularization function in a weighted total variation model. II: Algorithm, its analysis and numerical tests. Zbl 1382.94016Hintermüller, Michael; Rautenberg, Carlos N.; Wu, Tao; Langer, Andreas 19 2017 Goal-oriented adaptivity in pointwise state constrained optimal control of partial differential equations. Zbl 1208.49025Hintermüller, Michael; Hoppe, Ronald H. W. 19 2010 A sequential minimization technique for elliptic quasi-variational inequalities with gradient constraints. Zbl 1268.47076Hintermüller, Michael; Rautenberg, Carlos N. 19 2012 Fast level set based algorithms using shape and topological sensitivity information. Zbl 1167.49317Hintermüller, M. 18 2005 Optimal bilinear control of Gross-Pitaevskii equations. Zbl 1277.49005Hintermüller, Michael; Marahrens, Daniel; Markowich, Peter A.; Sparber, Christof 18 2013 From shape variation to topological changes in constrained minimization: a velocity method-based concept. Zbl 1245.49058Hintermüller, M.; Kovtunenko, V. A. 18 2011 The primal-dual active set method for a crack problem with non-penetration. Zbl 1084.49029Hintermüller, M.; Kovtunenko, V. A.; Kunisch, K. 18 2004 Inverse coefficient problems for variational inequalities: Optimality conditions and numerical realization. Zbl 0978.65054Hintermüller, Michael 17 2001 An inexact Newton-CG-type active contour approach for the minimization of the Mumford-Shah functional. Zbl 1366.65066Hintermüller, Michael; Ring, Wolfgang 17 2004 Expected absolute value estimators for a spatially adapted regularization parameter choice rule in \(L^{1}\)-TV-based image restoration. Zbl 1194.94031Hintermüller, Michael; Rincon-Camacho, M. Monserrat 16 2010 Principal eigenvalue minimization for an elliptic problem with indefinite weight and Robin boundary conditions. Zbl 1242.49094Hintermüller, M.; Kao, C.-Y.; Laurain, A. 15 2012 Mesh-independence of semismooth Newton methods for Lavrentiev-regularized state constrained nonlinear optimal control problems. Zbl 1143.65051Hintermüller, M.; Tröltzsch, F.; Yousept, I. 14 2008 Tube methods for BV regularization. Zbl 1101.68927Hinterberger, Walter; Hintermüller, Michael; Kunisch, Karl; von Oehsen, Markus; Scherzer, Otmar 14 2003 A PDE-constrained generalized Nash equilibrium problem with pointwise control and state constraints. Zbl 1269.65062Hintermüller, M.; Surowiec, T. 14 2013 An efficient two-phase \(\mathrm{L}^1\)-TV method for restoring blurred images with impulse noise. Zbl 1371.94074Chan, Raymond H.; Dong, Yiqiu; Hintermüller, Michael 14 2010 Semismooth Newton methods for a class of unilaterally constrained variational problems. Zbl 1083.49023Hintermüller, M.; Kovtunenko, V.; Kunisch, K. 14 2004 Parabolic quasi-variational inequalities with gradient-type constraints. Zbl 1293.35156Hintermüller, Michael; Rautenberg, Carlos N. 13 2013 Spatially dependent regularization parameter selection in total generalized variation models for image restoration. Zbl 1278.68327Bredies, Kristian; Dong, Yiqiu; Hintermüller, Michael 13 2013 A duality-based path-following semismooth Newton method for elasto-plastic contact problems. Zbl 1322.49051Hintermüller, M.; Rösel, S. 13 2016 On the density of classes of closed convex sets with pointwise constraints in Sobolev spaces. Zbl 1352.46033Hintermüller, M.; Rautenberg, C. N. 13 2015 A duality based semismooth Newton framework for solving variational inequalities of the second kind. Zbl 1247.65089De Los Reyes, Juan Carlos; Hintermüller, Michael 13 2011 Dual-weighted goal-oriented adaptive finite elements for optimal control of elliptic variational inequalities. Zbl 1287.49030Hintermüller, M.; Hoppe, R. H. W.; Löbhard, C. 12 2014 A smooth penalty approach and a nonlinear multigrid algorithm for elliptic MPECs. Zbl 1229.49032Hintermüller, M.; Kopacka, I. 12 2011 A level set approach for the solution of a state-constrained optimal control problem. Zbl 1059.65057Hintermüller, Michael; Ring, Wolfgang 11 2004 Bilevel optimization for calibrating point spread functions in blind deconvolution. Zbl 1343.49023Hintermüller, Michael; Wu, Tao 11 2015 Directional differentiability for elliptic quasi-variational inequalities of obstacle type. Zbl 1439.49014Alphonse, Amal; Hintermüller, Michael; Rautenberg, Carlos N. 11 2019 A function space framework for structural total variation regularization with applications in inverse problems. Zbl 1436.65070Hintermüller, Michael; Holler, Martin; Papafitsoros, Kostas 10 2018 Generalized Nash equilibrium problems in Banach spaces: theory, Nikaido-Isoda-based path-following methods, and applications. Zbl 1323.65075Hintermüller, M.; Surowiec, T.; Kämmler, A. 10 2015 Distributed and boundary control problems for the semidiscrete Cahn-Hilliard/Navier-Stokes system with nonsmooth Ginzburg-Landau energies. Zbl 1380.49039Hintermüller, M.; Wegner, D. 10 2017 Functional-analytic and numerical issues in splitting methods for total variation-based image reconstruction. Zbl 1293.94015Hintermüller, Michael; Rautenberg, Carlos N.; Hahn, Jooyoung 9 2014 A bundle-free implicit programming approach for a class of elliptic MPECs in function space. Zbl 1355.49025Hintermüller, M.; Surowiec, T. 9 2016 On the uniqueness and numerical approximation of solutions to certain parabolic quasi-variational inequalities. Zbl 1477.49015Hintermüller, Michael; Rautenberg, Carlos N. 8 2017 Multiphase image segmentation and modulation recovery based on shape and topological sensitivity. Zbl 1490.68282Hintermüller, M.; Laurain, A. 8 2009 On the directional differentiability of the solution mapping for a class of variational inequalities of the second kind. Zbl 1471.47039Hintermüller, M.; Surowiec, T. M. 8 2018 Topological sensitivity analysis in fluorescence optical tomography. Zbl 1334.49138Laurain, A.; Hintermüller, M.; Freiberger, M.; Scharfetter, H. 8 2013 Dynamical systems-based optimal control of incompressible fluids. Zbl 1081.76016Hintermüller, Michael; Kunisch, Karl; Spasov, Yulian; Volkwein, Stefan 8 2004 Mesh independence and fast local convergence of a primal-dual active-set method for mixed control-state constrained elliptic control problems. Zbl 1154.65057Hintermüller, M. 7 2007 Analytical aspects of spatially adapted total variation regularisation. Zbl 1416.94016Hintermüller, Michael; Papafitsoros, Konstantinos; Rautenberg, Carlos N. 7 2017 Finite horizon model predictive control of electrowetting on dielectric with pinning. Zbl 1368.49004Antil, Harbir; Hintermüller, Michael; Nochetto, Ricardo H.; Surowiec, Thomas M. 7 2017 A multi-scale vectorial \(L^{\tau }\)-TV framework for color image restoration. Zbl 1235.68259Dong, Yiqiu; Hintermüller, Michael; Rincon-Camacho, M. Monserrat 7 2011 Density of convex intersections and applications. Zbl 1402.49012Hintermüller, M.; Rautenberg, C. N.; Rösel, S. 7 2017 A superlinearly convergent \(R\)-regularized Newton scheme for variational models with concave sparsity-promoting priors. Zbl 1286.90116Hintermüller, Michael; Wu, Tao 7 2014 An active-set equality constrained Newton solver with feasibility restoration for inverse coefficient problems in elliptic variational inequalities. Zbl 1187.35277Hintermüller, M. 7 2008 Generalized Newton methods for crack problems with nonpenetration condition. Zbl 1086.74045Hintermüller, M.; Kovtunenko, V. A.; Kunisch, K. 7 2005 Recent trends and views on elliptic quasi-variational inequalities. Zbl 1448.49013Alphonse, Amal; Hintermüller, Michael; Rautenberg, Carlos N. 6 2019 A goal-oriented dual-weighted adaptive finite element approach for the optimal control of a nonsmooth Cahn-Hilliard-Navier-Stokes system. Zbl 1507.49027Hintermüller, Michael; Hinze, Michael; Kahle, Christian; Keil, Tobias 6 2018 A Papkovich-Neuber-based numerical approach to cracks with contact in 3D. Zbl 1169.74645Hintermüller, M.; Kovtunenko, V. A.; Kunisch, K. 6 2009 A nonlinear multigrid solver with line Gauss-Seidel-semismooth-Newton smoother for the Fenchel pre-dual in total variation based image restoration. Zbl 1220.94006Chen, Ke; Dong, Yiqiu; Hintermüller, Michael 6 2011 Dissipative and non-dissipative evolutionary quasi-variational inequalities with gradient constraints. Zbl 1418.35248Hintermüller, M.; Rautenberg, C. N.; Strogies, N. 6 2019 A primal-dual active set algorithm for bilaterally control constrained optimal control problems. Zbl 1025.49022Hintermüller, Michael 6 2003 Weak-duality based adaptive finite element methods for PDE-constrained optimization with pointwise gradient state-constraints. Zbl 1265.65122Hintermüller, M.; Hinze, Michael; Hoppe, Ronald H. W. 6 2012 Space mapping for optimal control of partial differential equations. Zbl 1114.49033Hintermüller, Michael; Vicente, Luís N. 6 2005 Generating structured nonsmooth priors and associated primal-dual methods. Zbl 1446.49025Hintermüller, Michael; Papafitsoros, Kostas 5 2019 Adaptive finite elements for optimally controlled elliptic variational inequalities of obstacle type. Zbl 1318.49050Gaevskaya, A.; Hintermüller, M.; Hoppe, R. H. W.; Löbhard, C. 5 2014 Mesh adaptivity in optimal control of elliptic variational inequalities with point-tracking of the state. Zbl 1320.49016Brett, Charles; Elliott, Charles M.; Hintermüller, Michael; Löbhard, Caroline 5 2015 Optimal sensor placement: a robust approach. Zbl 06812478Hintermüller, Michael; Rautenberg, Carlos N.; Mohammadi, Masoumeh; Kanitsar, Martin 5 2017 A shape and topology optimization technique for solving a class of linear complementarity problems in function space. Zbl 1230.90187Hintermüller, M.; Laurain, A. 5 2010 Distortion compensation as a shape optimisation problem for a sharp interface model. Zbl 1341.49054Sturm, Kevin; Hintermüller, Michael; Hömberg, Dietmar 5 2016 Total variation diminishing schemes in optimal control of scalar conservation laws. Zbl 1483.49042Hajian, Soheil; Hintermüller, Michael; Ulbrich, Stefan 5 2019 Dualization and automatic distributed parameter selection of total generalized variation via bilevel optimization. Zbl 07559547Hintermüller, Michael; Papafitsoros, Kostas; Rautenberg, Carlos N.; Sun, Hongpeng 5 2022 Stability of the solution set of quasi-variational inequalities and optimal control. Zbl 07283564Alphonse, Amal; Hintermüller, Michael; Rautenberg, Carlos N. 4 2020 Limiting aspects of nonconvex \({TV}^{\phi}\) models. Zbl 1328.65064Hintermüller, Michael; Valkonen, Tuomo; Wu, Tao 4 2015 An inverse problem in American options as a mathematical program with equilibrium constraints: C-stationarity and an active-set-Newton solver. Zbl 1210.35288Hintermüller, Michael; Tber, Moulay Hicham 4 2010 A semi-smooth Newton method for constrained linear-quadratic control problems. Zbl 1015.49025Hintermüller, Michael; Stadler, Georg 4 2003 Projected gradient flows for BV/level set relaxation. Zbl 1391.76464Burger, Martin; Hintermüller, Michael 3 2005 Constrained optimization for interface cracks in composite materials subject to non-penetration conditions. Zbl 1126.74040Hintermüller, M.; Kovtunenko, V. A.; Kunisch, K. 3 2007 Dualization and automatic distributed parameter selection of total generalized variation via bilevel optimization. Zbl 07559547Hintermüller, Michael; Papafitsoros, Kostas; Rautenberg, Carlos N.; Sun, Hongpeng 5 2022 A class of second-order geometric quasilinear hyperbolic PDEs and their application in imaging. Zbl 1478.35150Dong, Guozhi; Hintermueller, Michael; Zhang, Ye 2 2021 Stability of the solution set of quasi-variational inequalities and optimal control. Zbl 07283564Alphonse, Amal; Hintermüller, Michael; Rautenberg, Carlos N. 4 2020 Identification of the friction function in a semilinear system for gas transport through a network. Zbl 1443.35188Hintermüller, Michael; Strogies, Nikolai 3 2020 A posteriori error control for distributed elliptic optimal control problems with control constraints discretized by \(hp\)-finite elements. Zbl 07283116Banz, Lothar; Hintermüller, Michael; Schröder, Andreas 1 2020 Variable step mollifiers and applications. Zbl 1478.46034Hintermüller, Michael; Papafitsoros, Kostas; Rautenberg, Carlos N. 1 2020 Directional differentiability for elliptic quasi-variational inequalities of obstacle type. Zbl 1439.49014Alphonse, Amal; Hintermüller, Michael; Rautenberg, Carlos N. 11 2019 Recent trends and views on elliptic quasi-variational inequalities. Zbl 1448.49013Alphonse, Amal; Hintermüller, Michael; Rautenberg, Carlos N. 6 2019 Dissipative and non-dissipative evolutionary quasi-variational inequalities with gradient constraints. Zbl 1418.35248Hintermüller, M.; Rautenberg, C. N.; Strogies, N. 6 2019 Generating structured nonsmooth priors and associated primal-dual methods. Zbl 1446.49025Hintermüller, Michael; Papafitsoros, Kostas 5 2019 Total variation diminishing schemes in optimal control of scalar conservation laws. Zbl 1483.49042Hajian, Soheil; Hintermüller, Michael; Ulbrich, Stefan 5 2019 A semismooth Newton method with analytical path-following for the \(H^1\)-projection onto the Gibbs simplex. Zbl 1464.65054Adam, L.; Hintermüller, M.; Surowiec, T. M. 2 2019 Optimization of a multiphysics problem in semiconductor laser design. Zbl 1412.35110Adam, Lukáš; Hintermüller, Michael; Peschka, Dirk; Surowiec, Thomas M. 2 2019 A function space framework for structural total variation regularization with applications in inverse problems. Zbl 1436.65070Hintermüller, Michael; Holler, Martin; Papafitsoros, Kostas 10 2018 On the directional differentiability of the solution mapping for a class of variational inequalities of the second kind. Zbl 1471.47039Hintermüller, M.; Surowiec, T. M. 8 2018 A goal-oriented dual-weighted adaptive finite element approach for the optimal control of a nonsmooth Cahn-Hilliard-Navier-Stokes system. Zbl 1507.49027Hintermüller, Michael; Hinze, Michael; Kahle, Christian; Keil, Tobias 6 2018 On the consistency of Runge-Kutta methods up to order three applied to the optimal control of scalar conservation laws. Zbl 1416.49029Hintermüller, Michael; Strogies, Nikolai 3 2018 A PDE-constrained optimization approach for topology optimization of strained photonic devices. Zbl 1507.74285Adam, L.; Hintermüller, M.; Surowiec, T. M. 1 2018 Optimal control of a semidiscrete Cahn-Hilliard-Navier-Stokes system with nonmatched fluid densities. Zbl 1368.49022Hintermüller, Michael; Keil, Tobias; Wegner, Donat 21 2017 Optimal selection of the regularization function in a weighted total variation model. I: Modelling and theory. Zbl 1382.94015Hintermüller, Michael; Rautenberg, Carlos N. 20 2017 Optimal selection of the regularization function in a weighted total variation model. II: Algorithm, its analysis and numerical tests. Zbl 1382.94016Hintermüller, Michael; Rautenberg, Carlos N.; Wu, Tao; Langer, Andreas 19 2017 Distributed and boundary control problems for the semidiscrete Cahn-Hilliard/Navier-Stokes system with nonsmooth Ginzburg-Landau energies. Zbl 1380.49039Hintermüller, M.; Wegner, D. 10 2017 On the uniqueness and numerical approximation of solutions to certain parabolic quasi-variational inequalities. Zbl 1477.49015Hintermüller, Michael; Rautenberg, Carlos N. 8 2017 Analytical aspects of spatially adapted total variation regularisation. Zbl 1416.94016Hintermüller, Michael; Papafitsoros, Konstantinos; Rautenberg, Carlos N. 7 2017 Finite horizon model predictive control of electrowetting on dielectric with pinning. Zbl 1368.49004Antil, Harbir; Hintermüller, Michael; Nochetto, Ricardo H.; Surowiec, Thomas M. 7 2017 Density of convex intersections and applications. Zbl 1402.49012Hintermüller, M.; Rautenberg, C. N.; Rösel, S. 7 2017 Optimal sensor placement: a robust approach. Zbl 06812478Hintermüller, Michael; Rautenberg, Carlos N.; Mohammadi, Masoumeh; Kanitsar, Martin 5 2017 A duality-based path-following semismooth Newton method for elasto-plastic contact problems. Zbl 1322.49051Hintermüller, M.; Rösel, S. 13 2016 A bundle-free implicit programming approach for a class of elliptic MPECs in function space. Zbl 1355.49025Hintermüller, M.; Surowiec, T. 9 2016 Distortion compensation as a shape optimisation problem for a sharp interface model. Zbl 1341.49054Sturm, Kevin; Hintermüller, Michael; Hömberg, Dietmar 5 2016 Shape sensitivities for an inverse problem in magnetic induction tomography based on the eddy current model. Zbl 1335.35297Hintermüller, Michael; Laurain, Antoine; Yousept, Irwin 19 2015 Non-overlapping domain decomposition methods for dual total variation based image denoising. Zbl 1323.65016Hintermüller, Michael; Langer, Andreas 19 2015 On the density of classes of closed convex sets with pointwise constraints in Sobolev spaces. Zbl 1352.46033Hintermüller, M.; Rautenberg, C. N. 13 2015 Bilevel optimization for calibrating point spread functions in blind deconvolution. Zbl 1343.49023Hintermüller, Michael; Wu, Tao 11 2015 Generalized Nash equilibrium problems in Banach spaces: theory, Nikaido-Isoda-based path-following methods, and applications. Zbl 1323.65075Hintermüller, M.; Surowiec, T.; Kämmler, A. 10 2015 Mesh adaptivity in optimal control of elliptic variational inequalities with point-tracking of the state. Zbl 1320.49016Brett, Charles; Elliott, Charles M.; Hintermüller, Michael; Löbhard, Caroline 5 2015 Limiting aspects of nonconvex \({TV}^{\phi}\) models. Zbl 1328.65064Hintermüller, Michael; Valkonen, Tuomo; Wu, Tao 4 2015 Robust principal component pursuit via inexact alternating minimization on matrix manifolds. Zbl 1329.15056Hintermüller, Michael; Wu, Tao 1 2015 An \(\ell_1\)-penalty scheme for the optimal control of elliptic variational inequalities. Zbl 1330.65101Hintermüller, M.; Löbhard, C.; Tber, M. H. 1 2015 Optimal control of a semidiscrete Cahn-Hilliard-Navier-Stokes system. Zbl 1293.49045Hintermüller, M.; Wegner, Donat 40 2014 Several approaches for the derivation of stationarity conditions for elliptic MPECs with upper-level control constraints. Zbl 1332.90300Hintermüller, Michael; Mordukhovich, Boris S.; Surowiec, Thomas M. 25 2014 The length of the primal-dual path in Moreau-Yosida-based path-following methods for state constrained optimal control. Zbl 1408.49026Hintermüller, Michael; Schiela, Anton; Wollner, Winnifried 21 2014 Dual-weighted goal-oriented adaptive finite elements for optimal control of elliptic variational inequalities. Zbl 1287.49030Hintermüller, M.; Hoppe, R. H. W.; Löbhard, C. 12 2014 Functional-analytic and numerical issues in splitting methods for total variation-based image reconstruction. Zbl 1293.94015Hintermüller, Michael; Rautenberg, Carlos N.; Hahn, Jooyoung 9 2014 A superlinearly convergent \(R\)-regularized Newton scheme for variational models with concave sparsity-promoting priors. Zbl 1286.90116Hintermüller, Michael; Wu, Tao 7 2014 Adaptive finite elements for optimally controlled elliptic variational inequalities of obstacle type. Zbl 1318.49050Gaevskaya, A.; Hintermüller, M.; Hoppe, R. H. W.; Löbhard, C. 5 2014 Elliptic mathematical programs with equilibrium constraints in function space: optimality conditions and numerical realization. Zbl 1327.49037Hintermüller, Michael; Laurain, Antoine; Löbhard, Caroline; Rautenberg, Carlos N.; Surowiec, Thomas M. 3 2014 An adaptive finite element method in \(L^2\)-TV-based image denoising. Zbl 1404.65265Hintermüller, Michael; Rincon-Camacho, Monserrat 3 2014 Nonconvex TV\(^q\)-models in image restoration: analysis and a trust-region regularization-based superlinearly convergent solver. Zbl 1281.65033Hintermüller, Michael; Wu, Tao 31 2013 An adaptive finite element Moreau-Yosida-based solver for a coupled Cahn-Hilliard/Navier-Stokes system. Zbl 1291.65300Hintermüller, M.; Hinze, M.; Kahle, C. 27 2013 Subspace correction methods for a class of nonsmooth and nonadditive convex variational problems with mixed \(L^1/L^2\) data-fidelity in image processing. Zbl 1279.68327Hintermüller, Michael; Langer, Andreas 26 2013 Optimal bilinear control of Gross-Pitaevskii equations. Zbl 1277.49005Hintermüller, Michael; Marahrens, Daniel; Markowich, Peter A.; Sparber, Christof 18 2013 A PDE-constrained generalized Nash equilibrium problem with pointwise control and state constraints. Zbl 1269.65062Hintermüller, M.; Surowiec, T. 14 2013 Parabolic quasi-variational inequalities with gradient-type constraints. Zbl 1293.35156Hintermüller, Michael; Rautenberg, Carlos N. 13 2013 Spatially dependent regularization parameter selection in total generalized variation models for image restoration. Zbl 1278.68327Bredies, Kristian; Dong, Yiqiu; Hintermüller, Michael 13 2013 Topological sensitivity analysis in fluorescence optical tomography. Zbl 1334.49138Laurain, A.; Hintermüller, M.; Freiberger, M.; Scharfetter, H. 8 2013 Distributed optimal control of the Cahn-Hilliard system including the case of a double-obstacle homogeneous free energy density. Zbl 1250.35131Hintermüller, M.; Wegner, Donat 42 2012 Second-order topological expansion for electrical impedance tomography. Zbl 1243.49049Hintermüller, M.; Laurain, A.; Novotny, A. A. 27 2012 A sequential minimization technique for elliptic quasi-variational inequalities with gradient constraints. Zbl 1268.47076Hintermüller, Michael; Rautenberg, Carlos N. 19 2012 Principal eigenvalue minimization for an elliptic problem with indefinite weight and Robin boundary conditions. Zbl 1242.49094Hintermüller, M.; Kao, C.-Y.; Laurain, A. 15 2012 Weak-duality based adaptive finite element methods for PDE-constrained optimization with pointwise gradient state-constraints. Zbl 1265.65122Hintermüller, M.; Hinze, Michael; Hoppe, Ronald H. W. 6 2012 Automated regularization parameter selection in multi-scale total variation models for image restoration. Zbl 1255.68230Dong, Yiqiu; Hintermüller, Michael; Rincon-Camacho, M. Monserrat 53 2011 An adaptive finite-element Moreau-Yosida-based solver for a non-smooth Cahn-Hilliard problem. Zbl 1366.74070Hintermüller, M.; Hinze, M.; Tber, M. H. 29 2011 Obstacle problems with cohesion: a hemivariational inequality approach and its efficient numerical solution. Zbl 1228.49012Hintermüller, M.; Kovtunenko, V. A.; Kunisch, K. 24 2011 First-order optimality conditions for elliptic mathematical programs with equilibrium constraints via variational analysis. Zbl 1248.49030Hintermüller, M.; Surowiec, T. 22 2011 Optimal shape design subject to elliptic variational inequalities. Zbl 1228.49045Hintermüller, M.; Laurain, A. 21 2011 From shape variation to topological changes in constrained minimization: a velocity method-based concept. Zbl 1245.49058Hintermüller, M.; Kovtunenko, V. A. 18 2011 A duality based semismooth Newton framework for solving variational inequalities of the second kind. Zbl 1247.65089De Los Reyes, Juan Carlos; Hintermüller, Michael 13 2011 A smooth penalty approach and a nonlinear multigrid algorithm for elliptic MPECs. Zbl 1229.49032Hintermüller, M.; Kopacka, I. 12 2011 A multi-scale vectorial \(L^{\tau }\)-TV framework for color image restoration. Zbl 1235.68259Dong, Yiqiu; Hintermüller, Michael; Rincon-Camacho, M. Monserrat 7 2011 A nonlinear multigrid solver with line Gauss-Seidel-semismooth-Newton smoother for the Fenchel pre-dual in total variation based image restoration. Zbl 1220.94006Chen, Ke; Dong, Yiqiu; Hintermüller, Michael 6 2011 A total variation based approach to correcting surface coil magnetic resonance images. Zbl 1223.92028Keeling, Stephen L.; Hintermüller, Michael; Knoll, Florian; Kraft, Daniel; Laurain, Antoine 1 2011 Goal-oriented adaptivity in pointwise state constrained optimal control of partial differential equations. Zbl 1208.49025Hintermüller, Michael; Hoppe, Ronald H. W. 19 2010 Expected absolute value estimators for a spatially adapted regularization parameter choice rule in \(L^{1}\)-TV-based image restoration. Zbl 1194.94031Hintermüller, Michael; Rincon-Camacho, M. Monserrat 16 2010 An efficient two-phase \(\mathrm{L}^1\)-TV method for restoring blurred images with impulse noise. Zbl 1371.94074Chan, Raymond H.; Dong, Yiqiu; Hintermüller, Michael 14 2010 A shape and topology optimization technique for solving a class of linear complementarity problems in function space. Zbl 1230.90187Hintermüller, M.; Laurain, A. 5 2010 An inverse problem in American options as a mathematical program with equilibrium constraints: C-stationarity and an active-set-Newton solver. Zbl 1210.35288Hintermüller, Michael; Tber, Moulay Hicham 4 2010 A sensitivity-based extrapolation technique for the numerical solution of state-constrained optimal control problems. Zbl 1201.49032Hintermüller, Michael; Yousept, Irwin 3 2010 Goal oriented mesh adaptivity for mixed control-state constrained elliptic optimal control problems. Zbl 1186.65080Hintermüller, Michael; Hoppe, Ronald H. W. 2 2010 Mathematical programs with complementarity constraints in function space: C- and strong stationarity and a path-following algorithm. Zbl 1189.49032Hintermüller, M.; Kopacka, I. 48 2009 An efficient primal-dual method for \(L^1\)TV image restoration. Zbl 1187.68653Dong, Yiqiu; Hintermüller, Michael; Neri, Marrick 40 2009 Moreau-Yosida regularization in state constrained elliptic control problems: error estimates and parameter adjustment. Zbl 1191.49036Hintermüller, Michael; Hinze, Michael 34 2009 PDE-constrained optimization subject to pointwise constraints on the control, the state, and its derivative. Zbl 1195.49037Hintermüller, Michael; Kunisch, Karl 24 2009 Multiphase image segmentation and modulation recovery based on shape and topological sensitivity. Zbl 1490.68282Hintermüller, M.; Laurain, A. 8 2009 A Papkovich-Neuber-based numerical approach to cracks with contact in 3D. Zbl 1169.74645Hintermüller, M.; Kovtunenko, V. A.; Kunisch, K. 6 2009 Mesh-independence and preconditioning for solving parabolic control problems with mixed control-state constraints. Zbl 1167.49027Hintermüller, Michael; Kopacka, Ian; Volkwein, Stefan 2 2009 Image registration and segmentation based on energy minimization. Zbl 1341.92037Hintermüller, Michael; Keeling, Stephen L. 1 2009 An a posteriori error analysis of adaptive finite element methods for distributed elliptic control problems with control constraints. Zbl 1157.65039Hintermüller, Michael; Hoppe, Ronald H. W.; Iliash, Yuri; Kieweg, Michael 51 2008 Goal-oriented adaptivity in control constrained optimal control of partial differential equations. Zbl 1167.49029Hintermüller, M.; Hoppe, R. H. W. 32 2008 Electrical impedance tomography: from topology to shape. Zbl 1194.49062Hintermüller, Michael; Laurain, Antoine 31 2008 Mesh-independence of semismooth Newton methods for Lavrentiev-regularized state constrained nonlinear optimal control problems. Zbl 1143.65051Hintermüller, M.; Tröltzsch, F.; Yousept, I. 14 2008 An active-set equality constrained Newton solver with feasibility restoration for inverse coefficient problems in elliptic variational inequalities. Zbl 1187.35277Hintermüller, M. 7 2008 Mesh independence and fast local convergence of a primal-dual active-set method for mixed control-state constrained elliptic control problems. Zbl 1154.65057Hintermüller, M. 7 2007 Constrained optimization for interface cracks in composite materials subject to non-penetration conditions. Zbl 1126.74040Hintermüller, M.; Kovtunenko, V. A.; Kunisch, K. 3 2007 Fast solution techniques in constrained optimal boundary control of the semilinear heat equation. Zbl 1239.49039Hintermüller, M.; Volkwein, S.; Diwoky, F. 2 2007 An infeasible primal-dual algorithm for total bounded variation–based Inf-convolution-type image restoration. Zbl 1136.94302Hintermüller, M.; Stadler, G. 62 2006 Path-following methods for a class of constrained minimization problems in function space. Zbl 1137.49028Hintermüller, Michael; Kunisch, Karl 49 2006 Feasible and noninterior path-following in constrained minimization with low multiplier regularity. Zbl 1121.49030Hintermüller, M.; Kunisch, K. 46 2006 A SQP-semismooth Newton-type algorithm applied to control of the instationary Navier–Stokes system subject to control constraints. Zbl 1131.90073Hintermüller, M.; Hinze, M. 19 2006 Fast level set based algorithms using shape and topological sensitivity information. Zbl 1167.49317Hintermüller, M. 18 2005 ...and 24 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,591 Authors 66 Hintermüller, Michael 41 Kunisch, Karl 26 Kovtunenko, Viktor Anatolievich 24 Hinze, Michael 24 Novotny, Antonio André 21 De los Reyes, Juan Carlos 21 Rautenberg, Carlos N. 18 Laurain, Antoine 17 Surowiec, Thomas 16 Sprekels, Jürgen 16 Yousept, Irwin 15 Gudi, Thirupathi 15 Kanzow, Christian 15 Tröltzsch, Fredi 14 Brenner, Susanne Cecelia 14 Colli, Pierluigi 14 Meyer, Christian 14 Wohlmuth, Barbara I. 13 Herzog, Roland 13 Wachsmuth, Gerd 12 Huang, Ting-Zhu 12 Kahle, Christian 12 Lazarev, Nyurgun Petrovich 12 Pang, Liping 12 Sokołowski, Jan 12 Sturm, Kevin 12 Zeng, Tie Yong 11 Garcke, Harald 11 Gilardi, Gianni 11 Ulbrich, Michael 11 Volkwein, Stefan 11 Wu, Chunlin 10 Bartels, Sören 10 Stoll, Martin 10 Tai, Xuecheng 10 Wachsmuth, Daniel 9 Amstutz, Samuel 9 Chen, Ke 9 Gwinner, Joachim 9 Lu, Xiliang 9 Neitzel, Ira 9 Park, Jongho 9 Popp, Alexander 9 Schönlieb, Carola-Bibiane 9 Wall, Wolfgang A. 8 Alphonse, Amal 8 Burger, Martin 8 Dong, Yiqiu 8 Ito, Kazufumi 8 Laghrib, Amine 8 Lee, Chang-Ock 8 Leugering, Günter 8 Mehlitz, Patrick 8 Migórski, Stanisław 8 Otárola, Enrique 8 Porwal, Kamana 8 Rösch, Arnd 8 Rudoy, Evgeny Mikhailovich 8 Scarpa, Luca 8 Schiela, Anton 8 Schmidt, Stephan 8 Steidl, Gabriele 8 Yang, Haijian 7 Antil, Harbir 7 Blank, Luise 7 Chambolle, Antonin 7 Christof, Constantin 7 Clason, Christian 7 de Oliveira, Welington Luis 7 Giusti, Sebastián M. 7 Kao, Chiu-Yen 7 Khan, Akhtar Ali 7 Pock, Thomas 7 Rocca, Elisabetta 7 Shen, Lixin 7 Stadler, Georg 7 Steck, Daniel Daniel 7 Tber, Moulay Hicham 7 Valkonen, Tuomo 7 Wick, Thomas 7 Yan, Ningning 7 Zhao, Xile 6 Allendes, Alejandro 6 Duan, Yuping 6 Feng, Binhua 6 Gong, Wei 6 González Andrade, Sergio 6 Hadri, Aissam 6 Itou, Hiromichi 6 Khludnev, Aleksandr Mikhaĭlovich 6 Nochetto, Ricardo Horacio 6 Papafitsoros, Kostas 6 Prüfert, Uwe 6 Shen, Jie 6 Ulbrich, Stefan 6 Weiser, Martin 6 Wollner, Winnifried 6 Yücel, Hamdullah 6 Zochowski, Antoni 5 Barboteu, Mikaël ...and 1,491 more Authors all top 5 Cited in 216 Serials 70 Computational Optimization and Applications 47 SIAM Journal on Control and Optimization 42 Computer Methods in Applied Mechanics and Engineering 41 Journal of Scientific Computing 35 Computers & Mathematics with Applications 35 Journal of Computational and Applied Mathematics 32 Journal of Mathematical Imaging and Vision 31 Inverse Problems 30 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 29 SIAM Journal on Scientific Computing 29 Optimization Methods & Software 27 Journal of Computational Physics 27 Journal of Optimization Theory and Applications 26 SIAM Journal on Imaging Sciences 25 Applied Mathematics and Optimization 24 SIAM Journal on Optimization 22 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 22 Inverse Problems and Imaging 21 Mathematical Programming. 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