Edit Profile (opens in new tab) Hintermüller, Michael Co-Author Distance Author ID: hintermuller.michael Published as: Hintermüller, Michael; Hintermüller, M.; Hintermueller, Michael more...less External Links: MGP · dblp Documents Indexed: 163 Publications since 1998, including 1 Book and 6 Additional arXiv Preprints 9 Contributions as Editor Co-Authors: 115 Co-Authors with 159 Joint Publications 4,265 Co-Co-Authors all top 5 Co-Authors 12 single-authored 22 Rautenberg, Carlos N. 18 Kunisch, Karl 15 Surowiec, Thomas 12 Hinze, Michael 10 Laurain, Antoine 9 Alphonse, Amal 8 Dong, Yiqiu 8 Kovtunenko, Viktor Anatolievich 8 Papafitsoros, Kostas 7 Hoppe, Ronald H. W. 7 Keil, Tobias 6 Wu, Tao 5 Dong, Guozhi 5 Löbhard, Caroline 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 Burger, Martin 2 Elliott, Charles M. 2 Gahururu, Deborah B. 2 Geiersbach, Caroline 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 Bongarti, Marcelo 1 Bredies, Kristian 1 Brett, Charles 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 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 Korolev, Denis 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 ...and 15 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 6 SIAM Journal on Imaging Sciences 5 Control and Cybernetics 4 Applied Mathematics and Optimization 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 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 111 Calculus of variations and optimal control; optimization (49-XX) 88 Numerical analysis (65-XX) 55 Operations research, mathematical programming (90-XX) 42 Partial differential equations (35-XX) 31 Information and communication theory, circuits (94-XX) 22 Computer science (68-XX) 16 Fluid mechanics (76-XX) 14 Mechanics of deformable solids (74-XX) 11 Operator theory (47-XX) 10 General and overarching topics; collections (00-XX) 6 Biology and other natural sciences (92-XX) 5 Systems theory; control (93-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) 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 138 Publications have been cited 2,591 times in 1,480 Documents Cited by ▼ Year ▼ The primal-dual active set strategy as a semismooth Newton method. Zbl 1080.90074 Hintermüller, M.; Ito, K.; Kunisch, K. 419 2003 An infeasible primal-dual algorithm for total bounded variation–based Inf-convolution-type image restoration. Zbl 1136.94302 Hintermüller, M.; Stadler, G. 68 2006 Total bounded variation regularization as a bilaterally constrained optimization problem. Zbl 1055.94504 Hintermüller, M.; Kunisch, K. 65 2004 A comparison of a Moreau-Yosida-based active set strategy and interior point methods for constrained optimal control problems. Zbl 1001.49034 Bergounioux, M.; Haddou, M.; Hintermüller, M.; Kunisch, K. 59 2000 Automated regularization parameter selection in multi-scale total variation models for image restoration. Zbl 1255.68230 Dong, Yiqiu; Hintermüller, Michael; Rincon-Camacho, M. Monserrat 59 2011 An a posteriori error analysis of adaptive finite element methods for distributed elliptic control problems with control constraints. Zbl 1157.65039 Hintermüller, Michael; Hoppe, Ronald H. W.; Iliash, Yuri; Kieweg, Michael 58 2008 Mathematical programs with complementarity constraints in function space: C- and strong stationarity and a path-following algorithm. Zbl 1189.49032 Hintermüller, M.; Kopacka, I. 56 2009 Path-following methods for a class of constrained minimization problems in function space. Zbl 1137.49028 Hintermüller, Michael; Kunisch, Karl 56 2006 Feasible and noninterior path-following in constrained minimization with low multiplier regularity. Zbl 1121.49030 Hintermüller, M.; Kunisch, K. 50 2006 A mesh-independence result for semismooth Newton methods. Zbl 1079.65065 Hintermüller, Michael; Ulbrich, Michael 48 2004 Optimal control of a semidiscrete Cahn-Hilliard-Navier-Stokes system. Zbl 1293.49045 Hintermüller, M.; Wegner, Donat 48 2014 Distributed optimal control of the Cahn-Hilliard system including the case of a double-obstacle homogeneous free energy density. Zbl 1250.35131 Hintermüller, M.; Wegner, Donat 46 2012 An efficient primal-dual method for \(L^1\)TV image restoration. Zbl 1187.68653 Dong, Yiqiu; Hintermüller, Michael; Neri, Marrick 44 2009 A proximal bundle method based on approximate subgradients. Zbl 1054.90053 Hintermüller, Michael 41 2001 A second order shape optimization approach for image segmentation. Zbl 1073.68095 Hintermüller, Michael; Ring, Wolfgang 41 2003 Moreau-Yosida regularization in state constrained elliptic control problems: error estimates and parameter adjustment. Zbl 1191.49036 Hintermüller, Michael; Hinze, Michael 40 2009 Nonconvex TV\(^q\)-models in image restoration: analysis and a trust-region regularization-based superlinearly convergent solver. Zbl 1281.65033 Hintermüller, Michael; Wu, Tao 38 2013 Goal-oriented adaptivity in control constrained optimal control of partial differential equations. Zbl 1167.49029 Hintermüller, M.; Hoppe, R. H. W. 36 2008 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 1279.68327 Hintermüller, Michael; Langer, Andreas 34 2013 Obstacle problems with cohesion: a hemivariational inequality approach and its efficient numerical solution. Zbl 1228.49012 Hintermüller, M.; Kovtunenko, V. A.; Kunisch, K. 33 2011 Optimal shape design subject to elliptic variational inequalities. Zbl 1228.49045 Hintermüller, M.; Laurain, A. 32 2011 Electrical impedance tomography: from topology to shape. Zbl 1194.49062 Hintermüller, Michael; Laurain, Antoine 32 2008 An adaptive finite-element Moreau-Yosida-based solver for a non-smooth Cahn-Hilliard problem. Zbl 1366.74070 Hintermüller, M.; Hinze, M.; Tber, M. H. 31 2011 Optimal selection of the regularization function in a weighted total variation model. I: Modelling and theory. Zbl 1382.94015 Hintermüller, Michael; Rautenberg, Carlos N. 30 2017 An adaptive finite element Moreau-Yosida-based solver for a coupled Cahn-Hilliard/Navier-Stokes system. Zbl 1291.65300 Hintermüller, M.; Hinze, M.; Kahle, C. 28 2013 PDE-constrained optimization subject to pointwise constraints on the control, the state, and its derivative. Zbl 1195.49037 Hintermüller, Michael; Kunisch, Karl 28 2009 Second-order topological expansion for electrical impedance tomography. Zbl 1243.49049 Hintermüller, M.; Laurain, A.; Novotny, A. A. 27 2012 Several approaches for the derivation of stationarity conditions for elliptic MPECs with upper-level control constraints. Zbl 1332.90300 Hintermüller, Michael; Mordukhovich, Boris S.; Surowiec, Thomas M. 27 2014 Optimal selection of the regularization function in a weighted total variation model. II: Algorithm, its analysis and numerical tests. Zbl 1382.94016 Hintermüller, Michael; Rautenberg, Carlos N.; Wu, Tao; Langer, Andreas 26 2017 First-order optimality conditions for elliptic mathematical programs with equilibrium constraints via variational analysis. Zbl 1248.49030 Hintermüller, M.; Surowiec, T. 24 2011 Optimal control of a semidiscrete Cahn-Hilliard-Navier-Stokes system with nonmatched fluid densities. Zbl 1368.49022 Hintermüller, Michael; Keil, Tobias; Wegner, Donat 24 2017 The length of the primal-dual path in Moreau-Yosida-based path-following methods for state constrained optimal control. Zbl 1408.49026 Hintermüller, Michael; Schiela, Anton; Wollner, Winnifried 24 2014 Inverse coefficient problems for variational inequalities: Optimality conditions and numerical realization. Zbl 0978.65054 Hintermüller, Michael 23 2001 Shape sensitivities for an inverse problem in magnetic induction tomography based on the eddy current model. Zbl 1335.35297 Hintermüller, Michael; Laurain, Antoine; Yousept, Irwin 23 2015 From shape variation to topological changes in constrained minimization: a velocity method-based concept. Zbl 1245.49058 Hintermüller, M.; Kovtunenko, V. A. 22 2011 Goal-oriented adaptivity in pointwise state constrained optimal control of partial differential equations. Zbl 1208.49025 Hintermüller, Michael; Hoppe, Ronald H. W. 21 2010 Non-overlapping domain decomposition methods for dual total variation based image denoising. Zbl 1323.65016 Hintermüller, Michael; Langer, Andreas 21 2015 Optimal bilinear control of Gross-Pitaevskii equations. Zbl 1277.49005 Hintermüller, Michael; Marahrens, Daniel; Markowich, Peter A.; Sparber, Christof 21 2013 Multiphase image segmentation and modulation recovery based on shape and topological sensitivity. Zbl 1490.68282 Hintermüller, M.; Laurain, A. 21 2009 A SQP-semismooth Newton-type algorithm applied to control of the instationary Navier–Stokes system subject to control constraints. Zbl 1131.90073 Hintermüller, M.; Hinze, M. 20 2006 Principal eigenvalue minimization for an elliptic problem with indefinite weight and Robin boundary conditions. Zbl 1242.49094 Hintermüller, M.; Kao, C.-Y.; Laurain, A. 20 2012 A sequential minimization technique for elliptic quasi-variational inequalities with gradient constraints. Zbl 1268.47076 Hintermüller, Michael; Rautenberg, Carlos N. 20 2012 An inexact Newton-CG-type active contour approach for the minimization of the Mumford-Shah functional. Zbl 1366.65066 Hintermüller, Michael; Ring, Wolfgang 19 2004 The primal-dual active set method for a crack problem with non-penetration. Zbl 1084.49029 Hintermüller, M.; Kovtunenko, V. A.; Kunisch, K. 19 2004 Fast level set based algorithms using shape and topological sensitivity information. Zbl 1167.49317 Hintermüller, M. 19 2005 An efficient two-phase \(\mathrm{L}^1\)-TV method for restoring blurred images with impulse noise. Zbl 1371.94074 Chan, Raymond H.; Dong, Yiqiu; Hintermüller, Michael 19 2010 Expected absolute value estimators for a spatially adapted regularization parameter choice rule in \(L^{1}\)-TV-based image restoration. Zbl 1194.94031 Hintermüller, Michael; Rincon-Camacho, M. Monserrat 18 2010 On the density of classes of closed convex sets with pointwise constraints in Sobolev spaces. Zbl 1352.46033 Hintermüller, M.; Rautenberg, C. N. 17 2015 Semismooth Newton methods for a class of unilaterally constrained variational problems. Zbl 1083.49023 Hintermüller, M.; Kovtunenko, V.; Kunisch, K. 16 2004 A duality based semismooth Newton framework for solving variational inequalities of the second kind. Zbl 1247.65089 De Los Reyes, Juan Carlos; Hintermüller, Michael 16 2011 Tube methods for BV regularization. Zbl 1101.68927 Hinterberger, Walter; Hintermüller, Michael; Kunisch, Karl; von Oehsen, Markus; Scherzer, Otmar 16 2003 Distributed and boundary control problems for the semidiscrete Cahn-Hilliard/Navier-Stokes system with nonsmooth Ginzburg-Landau energies. Zbl 1380.49039 Hintermüller, M.; Wegner, D. 16 2017 Directional differentiability for elliptic quasi-variational inequalities of obstacle type. Zbl 1439.49014 Alphonse, Amal; Hintermüller, Michael; Rautenberg, Carlos N. 16 2019 A PDE-constrained generalized Nash equilibrium problem with pointwise control and state constraints. Zbl 1269.65062 Hintermüller, M.; Surowiec, T. 16 2013 Generalized Nash equilibrium problems in Banach spaces: theory, Nikaido-Isoda-based path-following methods, and applications. Zbl 1323.65075 Hintermüller, M.; Surowiec, T.; Kämmler, A. 15 2015 Bilevel optimization for calibrating point spread functions in blind deconvolution. Zbl 1343.49023 Hintermüller, Michael; Wu, Tao 15 2015 Spatially dependent regularization parameter selection in total generalized variation models for image restoration. Zbl 1278.68327 Bredies, Kristian; Dong, Yiqiu; Hintermüller, Michael 15 2013 Mesh-independence of semismooth Newton methods for Lavrentiev-regularized state constrained nonlinear optimal control problems. Zbl 1143.65051 Hintermüller, M.; Tröltzsch, F.; Yousept, I. 14 2008 A bundle-free implicit programming approach for a class of elliptic MPECs in function space. Zbl 1355.49025 Hintermüller, M.; Surowiec, T. 14 2016 Analytical aspects of spatially adapted total variation regularisation. Zbl 1416.94016 Hintermüller, Michael; Papafitsoros, Konstantinos; Rautenberg, Carlos N. 14 2017 A smooth penalty approach and a nonlinear multigrid algorithm for elliptic MPECs. Zbl 1229.49032 Hintermüller, M.; Kopacka, I. 13 2011 A duality-based path-following semismooth Newton method for elasto-plastic contact problems. Zbl 1322.49051 Hintermüller, M.; Rösel, S. 13 2016 Parabolic quasi-variational inequalities with gradient-type constraints. Zbl 1293.35156 Hintermüller, Michael; Rautenberg, Carlos N. 13 2013 Dual-weighted goal-oriented adaptive finite elements for optimal control of elliptic variational inequalities. Zbl 1287.49030 Hintermüller, M.; Hoppe, R. H. W.; Löbhard, C. 13 2014 Functional-analytic and numerical issues in splitting methods for total variation-based image reconstruction. Zbl 1293.94015 Hintermüller, Michael; Rautenberg, Carlos N.; Hahn, Jooyoung 12 2014 A function space framework for structural total variation regularization with applications in inverse problems. Zbl 1436.65070 Hintermüller, Michael; Holler, Martin; Papafitsoros, Kostas 12 2018 Density of convex intersections and applications. Zbl 1402.49012 Hintermüller, M.; Rautenberg, C. N.; Rösel, S. 12 2017 A level set approach for the solution of a state-constrained optimal control problem. Zbl 1059.65057 Hintermüller, Michael; Ring, Wolfgang 11 2004 On the directional differentiability of the solution mapping for a class of variational inequalities of the second kind. Zbl 1471.47039 Hintermüller, M.; Surowiec, T. M. 11 2018 A goal-oriented dual-weighted adaptive finite element approach for the optimal control of a nonsmooth Cahn-Hilliard-Navier-Stokes system. Zbl 1507.49027 Hintermüller, Michael; Hinze, Michael; Kahle, Christian; Keil, Tobias 10 2018 Mesh independence and fast local convergence of a primal-dual active-set method for mixed control-state constrained elliptic control problems. Zbl 1154.65057 Hintermüller, M. 9 2007 Space mapping for optimal control of partial differential equations. Zbl 1114.49033 Hintermüller, Michael; Vicente, Luís N. 9 2005 Generalized Newton methods for crack problems with nonpenetration condition. Zbl 1086.74045 Hintermüller, M.; Kovtunenko, V. A.; Kunisch, K. 9 2005 Recent trends and views on elliptic quasi-variational inequalities. Zbl 1448.49013 Alphonse, Amal; Hintermüller, Michael; Rautenberg, Carlos N. 9 2019 Generating structured nonsmooth priors and associated primal-dual methods. Zbl 1446.49025 Hintermüller, Michael; Papafitsoros, Kostas 9 2019 Topological sensitivity analysis in fluorescence optical tomography. Zbl 1334.49138 Laurain, A.; Hintermüller, M.; Freiberger, M.; Scharfetter, H. 9 2013 An active-set equality constrained Newton solver with feasibility restoration for inverse coefficient problems in elliptic variational inequalities. Zbl 1187.35277 Hintermüller, M. 8 2008 A multi-scale vectorial \(L^{\tau }\)-TV framework for color image restoration. Zbl 1235.68259 Dong, Yiqiu; Hintermüller, Michael; Rincon-Camacho, M. Monserrat 8 2011 A Papkovich-Neuber-based numerical approach to cracks with contact in 3D. Zbl 1169.74645 Hintermüller, M.; Kovtunenko, V. A.; Kunisch, K. 8 2009 Dynamical systems-based optimal control of incompressible fluids. Zbl 1081.76016 Hintermüller, Michael; Kunisch, Karl; Spasov, Yulian; Volkwein, Stefan 8 2004 On the uniqueness and numerical approximation of solutions to certain parabolic quasi-variational inequalities. Zbl 1477.49015 Hintermüller, Michael; Rautenberg, Carlos N. 8 2017 Mesh adaptivity in optimal control of elliptic variational inequalities with point-tracking of the state. Zbl 1320.49016 Brett, Charles; Elliott, Charles M.; Hintermüller, Michael; Löbhard, Caroline 8 2015 A superlinearly convergent \(R\)-regularized Newton scheme for variational models with concave sparsity-promoting priors. Zbl 1286.90116 Hintermüller, Michael; Wu, Tao 8 2014 Dualization and automatic distributed parameter selection of total generalized variation via bilevel optimization. Zbl 07559547 Hintermüller, Michael; Papafitsoros, Kostas; Rautenberg, Carlos N.; Sun, Hongpeng 8 2022 Weak-duality based adaptive finite element methods for PDE-constrained optimization with pointwise gradient state-constraints. Zbl 1265.65122 Hintermüller, M.; Hinze, Michael; Hoppe, Ronald H. W. 8 2012 Finite horizon model predictive control of electrowetting on dielectric with pinning. Zbl 1368.49004 Antil, Harbir; Hintermüller, Michael; Nochetto, Ricardo H.; Surowiec, Thomas M. 7 2017 A primal-dual active set algorithm for bilaterally control constrained optimal control problems. Zbl 1025.49022 Hintermüller, Michael 7 2003 Stability of the solution set of quasi-variational inequalities and optimal control. Zbl 1516.49004 Alphonse, Amal; Hintermüller, Michael; Rautenberg, Carlos N. 7 2020 Dissipative and non-dissipative evolutionary quasi-variational inequalities with gradient constraints. Zbl 1418.35248 Hintermüller, M.; Rautenberg, C. N.; Strogies, N. 7 2019 A nonlinear multigrid solver with line Gauss-Seidel-semismooth-Newton smoother for the Fenchel pre-dual in total variation based image restoration. Zbl 1220.94006 Chen, Ke; Dong, Yiqiu; Hintermüller, Michael 6 2011 Limiting aspects of nonconvex \({TV}^{\phi}\) models. Zbl 1328.65064 Hintermüller, Michael; Valkonen, Tuomo; Wu, Tao 6 2015 Distortion compensation as a shape optimisation problem for a sharp interface model. Zbl 1341.49054 Sturm, Kevin; Hintermüller, Michael; Hömberg, Dietmar 6 2016 Adaptive finite elements for optimally controlled elliptic variational inequalities of obstacle type. Zbl 1318.49050 Gaevskaya, A.; Hintermüller, M.; Hoppe, R. H. W.; Löbhard, C. 6 2014 A shape and topology optimization technique for solving a class of linear complementarity problems in function space. Zbl 1230.90187 Hintermüller, M.; Laurain, A. 6 2010 Identification of the friction function in a semilinear system for gas transport through a network. Zbl 1443.35188 Hintermüller, Michael; Strogies, Nikolai 6 2020 Optimal sensor placement: a robust approach. Zbl 1516.35253 Hintermüller, Michael; Rautenberg, Carlos N.; Mohammadi, Masoumeh; Kanitsar, Martin 5 2017 An adaptive finite element method in \(L^2\)-TV-based image denoising. Zbl 1404.65265 Hintermüller, Michael; Rincon-Camacho, Monserrat 5 2014 A semismooth Newton method with analytical path-following for the \(H^1\)-projection onto the Gibbs simplex. Zbl 1464.65054 Adam, L.; Hintermüller, M.; Surowiec, T. M. 5 2019 Total variation diminishing schemes in optimal control of scalar conservation laws. Zbl 1483.49042 Hajian, Soheil; Hintermüller, Michael; Ulbrich, Stefan 5 2019 An inverse problem in American options as a mathematical program with equilibrium constraints: C-stationarity and an active-set-Newton solver. Zbl 1210.35288 Hintermüller, Michael; Tber, Moulay Hicham 4 2010 Constrained exact boundary controllability of a semilinear model for pipeline gas flow. Zbl 1518.93018 Gugat, Martin; Habermann, Jens; Hintermüller, Michael; Huber, Olivier 3 2023 Risk-neutral PDE-constrained generalized Nash equilibrium problems. Zbl 1516.91006 Gahururu, Deborah B.; Hintermüller, Michael; Surowiec, Thomas M. 2 2023 Dualization and automatic distributed parameter selection of total generalized variation via bilevel optimization. Zbl 07559547 Hintermüller, Michael; Papafitsoros, Kostas; Rautenberg, Carlos N.; Sun, Hongpeng 8 2022 Optimization with learning-informed differential equation constraints and its applications. Zbl 1481.49028 Dong, Guozhi; Hintermüller, Michael; Papafitsoros, Kostas 2 2022 Optimal control and directional differentiability for elliptic quasi-variational inequalities. Zbl 07563231 Alphonse, Amal; Hintermüller, Michael; Rautenberg, Carlos N. 2 2022 On the differentiability of the minimal and maximal solution maps of elliptic quasi-variational inequalities. Zbl 1477.49011 Alphonse, Amal; Hintermüller, Michael; Rautenberg, Carlos N. 1 2022 Generalized Nash equilibrium problems with partial differential operators: theory, algorithms, and risk aversion. Zbl 1507.49003 Gahururu, Deborah; Hintermüller, Michael; Stengl, Steven-Marian; Surowiec, Thomas M. 1 2022 A class of second-order geometric quasilinear hyperbolic PDEs and their application in imaging. Zbl 1478.35150 Dong, Guozhi; Hintermueller, Michael; Zhang, Ye 2 2021 Stability of the solution set of quasi-variational inequalities and optimal control. Zbl 1516.49004 Alphonse, Amal; Hintermüller, Michael; Rautenberg, Carlos N. 7 2020 Identification of the friction function in a semilinear system for gas transport through a network. Zbl 1443.35188 Hintermüller, Michael; Strogies, Nikolai 6 2020 A posteriori error control for distributed elliptic optimal control problems with control constraints discretized by \(hp\)-finite elements. Zbl 1524.65234 Banz, Lothar; Hintermüller, Michael; Schröder, Andreas 3 2020 Variable step mollifiers and applications. Zbl 1478.46034 Hintermüller, Michael; Papafitsoros, Kostas; Rautenberg, Carlos N. 2 2020 Existence, iteration procedures and directional differentiability for parabolic QVIs. Zbl 1439.49015 Alphonse, Amal; Hintermüller, Michael; Rautenberg, Carlos N. 2 2020 Directional differentiability for elliptic quasi-variational inequalities of obstacle type. Zbl 1439.49014 Alphonse, Amal; Hintermüller, Michael; Rautenberg, Carlos N. 16 2019 Recent trends and views on elliptic quasi-variational inequalities. Zbl 1448.49013 Alphonse, Amal; Hintermüller, Michael; Rautenberg, Carlos N. 9 2019 Generating structured nonsmooth priors and associated primal-dual methods. Zbl 1446.49025 Hintermüller, Michael; Papafitsoros, Kostas 9 2019 Dissipative and non-dissipative evolutionary quasi-variational inequalities with gradient constraints. Zbl 1418.35248 Hintermüller, M.; Rautenberg, C. N.; Strogies, N. 7 2019 A semismooth Newton method with analytical path-following for the \(H^1\)-projection onto the Gibbs simplex. Zbl 1464.65054 Adam, L.; Hintermüller, M.; Surowiec, T. M. 5 2019 Total variation diminishing schemes in optimal control of scalar conservation laws. Zbl 1483.49042 Hajian, Soheil; Hintermüller, Michael; Ulbrich, Stefan 5 2019 Optimization of a multiphysics problem in semiconductor laser design. Zbl 1412.35110 Adam, Lukáš; Hintermüller, Michael; Peschka, Dirk; Surowiec, Thomas M. 3 2019 A Bayesian approach to parameter identification in gas networks. Zbl 1446.93038 Hajian, Soheil; Hintermüller, Michael; Schillings, Claudia; Strogies, Nikolai 2 2019 Quantitative magnetic resonance imaging: from fingerprinting to integrated physics-based models. Zbl 07716391 Dong, Guozhi; Hintermüller, Michael; Papafitsoros, Kostas 1 2019 Topics in applied analysis and optimisation. Partial differential equations, stochastic and numerical analysis. Selected papers from the Joint CIM-WIAS workshop, TAAO’17, Lisbon, Portugal, December 6–8, 2017. Zbl 1433.35004 1 2019 A function space framework for structural total variation regularization with applications in inverse problems. Zbl 1436.65070 Hintermüller, Michael; Holler, Martin; Papafitsoros, Kostas 12 2018 On the directional differentiability of the solution mapping for a class of variational inequalities of the second kind. Zbl 1471.47039 Hintermüller, M.; Surowiec, T. M. 11 2018 A goal-oriented dual-weighted adaptive finite element approach for the optimal control of a nonsmooth Cahn-Hilliard-Navier-Stokes system. Zbl 1507.49027 Hintermüller, Michael; Hinze, Michael; Kahle, Christian; Keil, Tobias 10 2018 On the consistency of Runge-Kutta methods up to order three applied to the optimal control of scalar conservation laws. Zbl 1416.49029 Hintermüller, Michael; Strogies, Nikolai 3 2018 A PDE-constrained optimization approach for topology optimization of strained photonic devices. Zbl 1507.74285 Adam, L.; Hintermüller, M.; Surowiec, T. M. 2 2018 Optimal selection of the regularization function in a weighted total variation model. I: Modelling and theory. Zbl 1382.94015 Hintermüller, Michael; Rautenberg, Carlos N. 30 2017 Optimal selection of the regularization function in a weighted total variation model. II: Algorithm, its analysis and numerical tests. Zbl 1382.94016 Hintermüller, Michael; Rautenberg, Carlos N.; Wu, Tao; Langer, Andreas 26 2017 Optimal control of a semidiscrete Cahn-Hilliard-Navier-Stokes system with nonmatched fluid densities. Zbl 1368.49022 Hintermüller, Michael; Keil, Tobias; Wegner, Donat 24 2017 Distributed and boundary control problems for the semidiscrete Cahn-Hilliard/Navier-Stokes system with nonsmooth Ginzburg-Landau energies. Zbl 1380.49039 Hintermüller, M.; Wegner, D. 16 2017 Analytical aspects of spatially adapted total variation regularisation. Zbl 1416.94016 Hintermüller, Michael; Papafitsoros, Konstantinos; Rautenberg, Carlos N. 14 2017 Density of convex intersections and applications. Zbl 1402.49012 Hintermüller, M.; Rautenberg, C. N.; Rösel, S. 12 2017 On the uniqueness and numerical approximation of solutions to certain parabolic quasi-variational inequalities. Zbl 1477.49015 Hintermüller, Michael; Rautenberg, Carlos N. 8 2017 Finite horizon model predictive control of electrowetting on dielectric with pinning. Zbl 1368.49004 Antil, Harbir; Hintermüller, Michael; Nochetto, Ricardo H.; Surowiec, Thomas M. 7 2017 Optimal sensor placement: a robust approach. Zbl 1516.35253 Hintermüller, Michael; Rautenberg, Carlos N.; Mohammadi, Masoumeh; Kanitsar, Martin 5 2017 A bundle-free implicit programming approach for a class of elliptic MPECs in function space. Zbl 1355.49025 Hintermüller, M.; Surowiec, T. 14 2016 A duality-based path-following semismooth Newton method for elasto-plastic contact problems. Zbl 1322.49051 Hintermüller, M.; Rösel, S. 13 2016 Distortion compensation as a shape optimisation problem for a sharp interface model. Zbl 1341.49054 Sturm, Kevin; Hintermüller, Michael; Hömberg, Dietmar 6 2016 Shape sensitivities for an inverse problem in magnetic induction tomography based on the eddy current model. Zbl 1335.35297 Hintermüller, Michael; Laurain, Antoine; Yousept, Irwin 23 2015 Non-overlapping domain decomposition methods for dual total variation based image denoising. Zbl 1323.65016 Hintermüller, Michael; Langer, Andreas 21 2015 On the density of classes of closed convex sets with pointwise constraints in Sobolev spaces. Zbl 1352.46033 Hintermüller, M.; Rautenberg, C. N. 17 2015 Generalized Nash equilibrium problems in Banach spaces: theory, Nikaido-Isoda-based path-following methods, and applications. Zbl 1323.65075 Hintermüller, M.; Surowiec, T.; Kämmler, A. 15 2015 Bilevel optimization for calibrating point spread functions in blind deconvolution. Zbl 1343.49023 Hintermüller, Michael; Wu, Tao 15 2015 Mesh adaptivity in optimal control of elliptic variational inequalities with point-tracking of the state. Zbl 1320.49016 Brett, Charles; Elliott, Charles M.; Hintermüller, Michael; Löbhard, Caroline 8 2015 Limiting aspects of nonconvex \({TV}^{\phi}\) models. Zbl 1328.65064 Hintermüller, Michael; Valkonen, Tuomo; Wu, Tao 6 2015 Robust principal component pursuit via inexact alternating minimization on matrix manifolds. Zbl 1329.15056 Hintermüller, Michael; Wu, Tao 2 2015 Several path-following methods for a class of gradient constrained variational inequalities. Zbl 1443.65087 Hintermüller, M.; Rasch, J. 2 2015 An \(\ell_1\)-penalty scheme for the optimal control of elliptic variational inequalities. Zbl 1330.65101 Hintermüller, M.; Löbhard, C.; Tber, M. H. 1 2015 Optimal control of a semidiscrete Cahn-Hilliard-Navier-Stokes system. Zbl 1293.49045 Hintermüller, M.; Wegner, Donat 48 2014 Several approaches for the derivation of stationarity conditions for elliptic MPECs with upper-level control constraints. Zbl 1332.90300 Hintermüller, Michael; Mordukhovich, Boris S.; Surowiec, Thomas M. 27 2014 The length of the primal-dual path in Moreau-Yosida-based path-following methods for state constrained optimal control. Zbl 1408.49026 Hintermüller, Michael; Schiela, Anton; Wollner, Winnifried 24 2014 Dual-weighted goal-oriented adaptive finite elements for optimal control of elliptic variational inequalities. Zbl 1287.49030 Hintermüller, M.; Hoppe, R. H. W.; Löbhard, C. 13 2014 Functional-analytic and numerical issues in splitting methods for total variation-based image reconstruction. Zbl 1293.94015 Hintermüller, Michael; Rautenberg, Carlos N.; Hahn, Jooyoung 12 2014 A superlinearly convergent \(R\)-regularized Newton scheme for variational models with concave sparsity-promoting priors. Zbl 1286.90116 Hintermüller, Michael; Wu, Tao 8 2014 Adaptive finite elements for optimally controlled elliptic variational inequalities of obstacle type. Zbl 1318.49050 Gaevskaya, A.; Hintermüller, M.; Hoppe, R. H. W.; Löbhard, C. 6 2014 An adaptive finite element method in \(L^2\)-TV-based image denoising. Zbl 1404.65265 Hintermüller, Michael; Rincon-Camacho, Monserrat 5 2014 Elliptic mathematical programs with equilibrium constraints in function space: optimality conditions and numerical realization. Zbl 1327.49037 Hintermüller, Michael; Laurain, Antoine; Löbhard, Caroline; Rautenberg, Carlos N.; Surowiec, Thomas M. 3 2014 Surrogate functional based subspace correction methods for image processing. Zbl 1382.65052 Hintermüller, Michael; Langer, Andreas 2 2014 Nonconvex TV\(^q\)-models in image restoration: analysis and a trust-region regularization-based superlinearly convergent solver. Zbl 1281.65033 Hintermüller, Michael; Wu, Tao 38 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 1279.68327 Hintermüller, Michael; Langer, Andreas 34 2013 An adaptive finite element Moreau-Yosida-based solver for a coupled Cahn-Hilliard/Navier-Stokes system. Zbl 1291.65300 Hintermüller, M.; Hinze, M.; Kahle, C. 28 2013 Optimal bilinear control of Gross-Pitaevskii equations. Zbl 1277.49005 Hintermüller, Michael; Marahrens, Daniel; Markowich, Peter A.; Sparber, Christof 21 2013 A PDE-constrained generalized Nash equilibrium problem with pointwise control and state constraints. Zbl 1269.65062 Hintermüller, M.; Surowiec, T. 16 2013 Spatially dependent regularization parameter selection in total generalized variation models for image restoration. Zbl 1278.68327 Bredies, Kristian; Dong, Yiqiu; Hintermüller, Michael 15 2013 Parabolic quasi-variational inequalities with gradient-type constraints. Zbl 1293.35156 Hintermüller, Michael; Rautenberg, Carlos N. 13 2013 Topological sensitivity analysis in fluorescence optical tomography. Zbl 1334.49138 Laurain, A.; Hintermüller, M.; Freiberger, M.; Scharfetter, H. 9 2013 Distributed optimal control of the Cahn-Hilliard system including the case of a double-obstacle homogeneous free energy density. Zbl 1250.35131 Hintermüller, M.; Wegner, Donat 46 2012 Second-order topological expansion for electrical impedance tomography. Zbl 1243.49049 Hintermüller, M.; Laurain, A.; Novotny, A. A. 27 2012 Principal eigenvalue minimization for an elliptic problem with indefinite weight and Robin boundary conditions. Zbl 1242.49094 Hintermüller, M.; Kao, C.-Y.; Laurain, A. 20 2012 A sequential minimization technique for elliptic quasi-variational inequalities with gradient constraints. Zbl 1268.47076 Hintermüller, Michael; Rautenberg, Carlos N. 20 2012 Weak-duality based adaptive finite element methods for PDE-constrained optimization with pointwise gradient state-constraints. Zbl 1265.65122 Hintermüller, M.; Hinze, Michael; Hoppe, Ronald H. W. 8 2012 Automated regularization parameter selection in multi-scale total variation models for image restoration. Zbl 1255.68230 Dong, Yiqiu; Hintermüller, Michael; Rincon-Camacho, M. Monserrat 59 2011 Obstacle problems with cohesion: a hemivariational inequality approach and its efficient numerical solution. Zbl 1228.49012 Hintermüller, M.; Kovtunenko, V. A.; Kunisch, K. 33 2011 Optimal shape design subject to elliptic variational inequalities. Zbl 1228.49045 Hintermüller, M.; Laurain, A. 32 2011 An adaptive finite-element Moreau-Yosida-based solver for a non-smooth Cahn-Hilliard problem. Zbl 1366.74070 Hintermüller, M.; Hinze, M.; Tber, M. H. 31 2011 First-order optimality conditions for elliptic mathematical programs with equilibrium constraints via variational analysis. Zbl 1248.49030 Hintermüller, M.; Surowiec, T. 24 2011 From shape variation to topological changes in constrained minimization: a velocity method-based concept. Zbl 1245.49058 Hintermüller, M.; Kovtunenko, V. A. 22 2011 A duality based semismooth Newton framework for solving variational inequalities of the second kind. Zbl 1247.65089 De Los Reyes, Juan Carlos; Hintermüller, Michael 16 2011 A smooth penalty approach and a nonlinear multigrid algorithm for elliptic MPECs. Zbl 1229.49032 Hintermüller, M.; Kopacka, I. 13 2011 A multi-scale vectorial \(L^{\tau }\)-TV framework for color image restoration. Zbl 1235.68259 Dong, Yiqiu; Hintermüller, Michael; Rincon-Camacho, M. Monserrat 8 2011 A nonlinear multigrid solver with line Gauss-Seidel-semismooth-Newton smoother for the Fenchel pre-dual in total variation based image restoration. Zbl 1220.94006 Chen, Ke; Dong, Yiqiu; Hintermüller, Michael 6 2011 A total variation based approach to correcting surface coil magnetic resonance images. Zbl 1223.92028 Keeling, Stephen L.; Hintermüller, Michael; Knoll, Florian; Kraft, Daniel; Laurain, Antoine 2 2011 Goal-oriented adaptivity in pointwise state constrained optimal control of partial differential equations. Zbl 1208.49025 Hintermüller, Michael; Hoppe, Ronald H. W. 21 2010 An efficient two-phase \(\mathrm{L}^1\)-TV method for restoring blurred images with impulse noise. Zbl 1371.94074 Chan, Raymond H.; Dong, Yiqiu; Hintermüller, Michael 19 2010 Expected absolute value estimators for a spatially adapted regularization parameter choice rule in \(L^{1}\)-TV-based image restoration. Zbl 1194.94031 Hintermüller, Michael; Rincon-Camacho, M. Monserrat 18 2010 A shape and topology optimization technique for solving a class of linear complementarity problems in function space. Zbl 1230.90187 Hintermüller, M.; Laurain, A. 6 2010 An inverse problem in American options as a mathematical program with equilibrium constraints: C-stationarity and an active-set-Newton solver. Zbl 1210.35288 Hintermüller, Michael; Tber, Moulay Hicham 4 2010 Goal oriented mesh adaptivity for mixed control-state constrained elliptic optimal control problems. Zbl 1186.65080 Hintermüller, Michael; Hoppe, Ronald H. W. 3 2010 A sensitivity-based extrapolation technique for the numerical solution of state-constrained optimal control problems. Zbl 1201.49032 Hintermüller, Michael; Yousept, Irwin 3 2010 Mathematical programs with complementarity constraints in function space: C- and strong stationarity and a path-following algorithm. Zbl 1189.49032 Hintermüller, M.; Kopacka, I. 56 2009 An efficient primal-dual method for \(L^1\)TV image restoration. Zbl 1187.68653 Dong, Yiqiu; Hintermüller, Michael; Neri, Marrick 44 2009 Moreau-Yosida regularization in state constrained elliptic control problems: error estimates and parameter adjustment. Zbl 1191.49036 Hintermüller, Michael; Hinze, Michael 40 2009 PDE-constrained optimization subject to pointwise constraints on the control, the state, and its derivative. Zbl 1195.49037 Hintermüller, Michael; Kunisch, Karl 28 2009 Multiphase image segmentation and modulation recovery based on shape and topological sensitivity. Zbl 1490.68282 Hintermüller, M.; Laurain, A. 21 2009 A Papkovich-Neuber-based numerical approach to cracks with contact in 3D. Zbl 1169.74645 Hintermüller, M.; Kovtunenko, V. A.; Kunisch, K. 8 2009 Mesh-independence and preconditioning for solving parabolic control problems with mixed control-state constraints. Zbl 1167.49027 Hintermüller, Michael; Kopacka, Ian; Volkwein, Stefan 2 2009 Image registration and segmentation based on energy minimization. Zbl 1341.92037 Hintermüller, 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 1157.65039 Hintermüller, Michael; Hoppe, Ronald H. W.; Iliash, Yuri; Kieweg, Michael 58 2008 ...and 38 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,806 Authors 72 Hintermüller, Michael 42 Kunisch, Karl 30 Kovtunenko, Viktor Anatolievich 25 Novotny, Antonio André 24 De los Reyes, Juan Carlos 24 Hinze, Michael 21 Rautenberg, Carlos N. 20 Laurain, Antoine 20 Wachsmuth, Gerd 19 Surowiec, Thomas 18 Brenner, Susanne Cecelia 18 Lazarev, Nyurgun Petrovich 18 Yousept, Irwin 17 Zeng, Tie Yong 16 Sprekels, Jürgen 16 Sung, Li-Yeng 15 Gudi, Thirupathi 15 Herzog, Roland 15 Kanzow, Christian 15 Meyer, Christian 15 Tröltzsch, Fredi 14 Colli, Pierluigi 14 Wohlmuth, Barbara I. 13 Christof, Constantin 13 Ulbrich, Michael 13 Wu, Chunlin 12 Gwinner, Joachim 12 Huang, Ting-Zhu 12 Kahle, Christian 12 Pang, Liping 12 Sokołowski, Jan 12 Sturm, Kevin 11 Bartels, Sören 11 Burger, Martin 11 Chen, Ke 11 Garcke, Harald 11 Gilardi, Gianni 11 Khan, Akhtar Ali 11 Schönlieb, Carola-Bibiane 11 Stoll, Martin 11 Tai, Xuecheng 11 Volkwein, Stefan 11 Wachsmuth, Daniel 10 Antil, Harbir 10 Laghrib, Amine 10 Migórski, Stanisław 10 Popp, Alexander 10 Porwal, Kamana 10 Wall, Wolfgang A. 10 Yang, Haijian 9 Amstutz, Samuel 9 Khludnev, Aleksandr Mikhaĭlovich 9 Lu, Xiliang 9 Neitzel, Ira 9 Otárola, Enrique 9 Park, Jongho 9 Rudoy, Evgeny Mikhailovich 9 Schiela, Anton 9 Schmidt, Stephan 9 Steidl, Gabriele 9 Wick, Thomas 8 Alphonse, Amal 8 Dong, Yiqiu 8 Duan, Yuping 8 Ito, Kazufumi 8 Lee, Chang-Ock 8 Leugering, Günter 8 Mehlitz, Patrick 8 Papafitsoros, Kostas 8 Rösch, Arnd 8 Scarpa, Luca 8 Tber, Moulay Hicham 8 Valkonen, Tuomo 8 Zeng, Shengda 7 Blank, Luise 7 Chambolle, Antonin 7 Clason, Christian 7 de Oliveira, Welington Luis 7 Feng, Binhua 7 Giusti, Sebastián M. 7 Hadri, Aissam 7 Hoppe, Ronald H. W. 7 Kao, Chiu-Yen 7 Nachaoui, Mourad 7 Pock, Thomas 7 Rocca, Elisabetta 7 Sama, Miguel 7 Shen, Lixin 7 Stadler, Georg 7 Steck, Daniel Daniel 7 Wollner, Winnifried 7 Yan, Ningning 7 Yücel, Hamdullah 7 Zhao, Dun 7 Zhao, Xile 7 Zhu, Shengfeng 6 Allendes, Alejandro 6 Barboteu, Mikaël 6 Benner, Peter 6 Bredies, Kristian ...and 1,706 more Authors all top 5 Cited in 227 Serials 73 Computational Optimization and Applications 55 SIAM Journal on Control and Optimization 47 Computer Methods in Applied Mechanics and Engineering 45 Journal of Scientific Computing 40 Computers & Mathematics with Applications 40 Inverse Problems 39 Journal of Computational and Applied Mathematics 38 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 34 Applied Mathematics and Optimization 34 Journal of Mathematical Imaging and Vision 33 SIAM Journal on Scientific Computing 32 Journal of Computational Physics 32 SIAM Journal on Imaging Sciences 29 Journal of Optimization Theory and Applications 29 SIAM Journal on Optimization 29 Optimization Methods & Software 25 Inverse Problems and Imaging 23 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 22 Mathematical Programming. 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Analyse Non Linéaire 3 Journal of Computational Mathematics 3 SIAM Journal on Matrix Analysis and Applications 3 Computational Mathematics and Mathematical Physics 3 Discrete and Continuous Dynamical Systems 3 Mathematics and Mechanics of Solids 3 Journal of Inequalities and Applications 3 Journal of Applied Mechanics and Technical Physics 3 Journal of Dynamical and Control Systems 3 Lobachevskii Journal of Mathematics 3 Foundations of Computational Mathematics 3 Discrete and Continuous Dynamical Systems. Series B 3 Communications on Pure and Applied Analysis 3 Discrete and Continuous Dynamical Systems. Series S 3 Science China. Mathematics 3 Results in Applied Mathematics 2 International Journal of Engineering Science 2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 2 Journal of Engineering Mathematics 2 Journal of the Mechanics and Physics of Solids ...and 127 more Serials all top 5 Cited in 40 Fields 810 Calculus of variations and optimal control; optimization (49-XX) 751 Numerical analysis (65-XX) 472 Partial differential equations (35-XX) 317 Operations research, mathematical programming (90-XX) 244 Mechanics of deformable solids (74-XX) 213 Information and communication theory, circuits (94-XX) 137 Fluid mechanics (76-XX) 130 Computer science (68-XX) 69 Systems theory; control (93-XX) 63 Operator theory (47-XX) 59 Biology and other natural sciences (92-XX) 48 Optics, electromagnetic theory (78-XX) 32 Statistics (62-XX) 29 Classical thermodynamics, heat transfer (80-XX) 29 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 24 Probability theory and stochastic processes (60-XX) 15 Functional analysis (46-XX) 14 Global analysis, analysis on manifolds (58-XX) 13 Real functions (26-XX) 13 Statistical mechanics, structure of matter (82-XX) 11 Ordinary differential equations (34-XX) 11 Mechanics of particles and systems (70-XX) 10 Integral equations (45-XX) 10 Geophysics (86-XX) 9 Approximations and expansions (41-XX) 7 Differential geometry (53-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Integral transforms, operational calculus (44-XX) 5 Potential theory (31-XX) 5 Quantum theory (81-XX) 4 General and overarching topics; collections (00-XX) 3 Convex and discrete geometry (52-XX) 3 Manifolds and cell complexes (57-XX) 2 Measure and integration (28-XX) 2 Special functions (33-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 Combinatorics (05-XX) 1 Functions of a complex variable (30-XX) 1 Mathematics education (97-XX) Citations by Year