## Hintermüller, Michael

Compute Distance To:
 Author ID: hintermuller.michael Published as: Hintermüller, Michael; Hintermüller, M.; Hintermueller, Michael External Links: MGP · dblp
 Documents Indexed: 143 Publications since 1998, including 1 Book 9 Contributions as Editor Co-Authors: 101 Co-Authors with 139 Joint Publications 3,324 Co-Co-Authors
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### Co-Authors

 12 single-authored 18 Kunisch, Karl 18 Rautenberg, Carlos N. 12 Surowiec, Thomas 11 Hinze, Michael 9 Laurain, Antoine 8 Kovtunenko, Viktor Anatolievich 7 Dong, Yiqiu 7 Hoppe, Ronald H. W. 6 Wu, Tao 5 Alphonse, Amal 5 Keil, Tobias 5 Löbhard, Caroline 4 Langer, Andreas 4 Leugering, Günter 4 Papafitsoros, Kostas 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 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 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 Fadili, Jalal M. 1 Gaevskaya, Alexandra 1 Haddou, Mounir 1 Hahn, Jooyoung 1 Hinterberger, Walter 1 Holler, Martin 1 Hömberg, Dietmar 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 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 1 Sparber, Christof 1 Spasov, Yulian 1 Stengl, Steven-Marian 1 Sturm, Kevin 1 Tröltzsch, Fredi 1 Valkonen, Tuomo 1 Vicente, Luis Nunes 1 von Oehsen, Markus 1 Wollner, Winnifried ...and 1 more Co-Authors
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### Serials

 13 SIAM Journal on Optimization 11 SIAM Journal on Control and Optimization 9 Journal of Mathematical Imaging and Vision 7 Inverse Problems 6 Computational Optimization and Applications 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Control and Cybernetics 5 SIAM Journal on Imaging Sciences 4 Optimization Methods & Software 3 Journal of Mathematical Analysis and Applications 3 SIAM Journal on Applied Mathematics 3 Mathematical Programming. Series A. Series B 3 Interfaces and Free Boundaries 3 Oberwolfach Reports 3 Inverse Problems and Imaging 2 Computers & Mathematics with Applications 2 IMA Journal of Applied Mathematics 2 IMA Journal of Numerical Analysis 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 2 Set-Valued and Variational Analysis 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 Applied Mathematics and Optimization 1 Integral Equations and Operator Theory 1 Journal of Computational and Applied Mathematics 1 Journal of Optimization Theory and Applications 1 Numerical Functional Analysis and Optimization 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 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
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### Fields

 103 Calculus of variations and optimal control; optimization (49-XX) 84 Numerical analysis (65-XX) 51 Operations research, mathematical programming (90-XX) 37 Partial differential equations (35-XX) 30 Information and communication theory, circuits (94-XX) 21 Computer science (68-XX) 12 Mechanics of deformable solids (74-XX) 12 Fluid mechanics (76-XX) 10 General and overarching topics; collections (00-XX) 10 Operator theory (47-XX) 5 Biology and other natural sciences (92-XX) 2 History and biography (01-XX) 2 Real functions (26-XX) 2 Functional analysis (46-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-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) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

115 Publications have been cited 1,935 times in 1,157 Documents Cited by Year
The primal-dual active set strategy as a semismooth Newton method. Zbl 1080.90074
Hintermüller, M.; Ito, K.; Kunisch, K.
2003
An infeasible primal-dual algorithm for total bounded variation–based Inf-convolution-type image restoration. Zbl 1136.94302
2006
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.
2000
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
2008
Total bounded variation regularization as a bilaterally constrained optimization problem. Zbl 1055.94504
Hintermüller, M.; Kunisch, K.
2004
Automated regularization parameter selection in multi-scale total variation models for image restoration. Zbl 1255.68230
Dong, Yiqiu; Hintermüller, Michael; Rincon-Camacho, M. Monserrat
2011
Path-following methods for a class of constrained minimization problems in function space. Zbl 1137.49028
Hintermüller, Michael; Kunisch, Karl
2006
A mesh-independence result for semismooth Newton methods. Zbl 1079.65065
Hintermüller, Michael; Ulbrich, Michael
2004
Feasible and noninterior path-following in constrained minimization with low multiplier regularity. Zbl 1121.49030
Hintermüller, M.; Kunisch, K.
2006
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
2012
Mathematical programs with complementarity constraints in function space: C- and strong stationarity and a path-following algorithm. Zbl 1189.49032
Hintermüller, M.; Kopacka, I.
2009
Optimal control of a semidiscrete Cahn-Hilliard-Navier-Stokes system. Zbl 1293.49045
Hintermüller, M.; Wegner, Donat
2014
An efficient primal-dual method for $$L^1$$TV image restoration. Zbl 1187.68653
Dong, Yiqiu; Hintermüller, Michael; Neri, Marrick
2009
A second order shape optimization approach for image segmentation. Zbl 1073.68095
Hintermüller, Michael; Ring, Wolfgang
2003
Moreau-Yosida regularization in state constrained elliptic control problems: error estimates and parameter adjustment. Zbl 1191.49036
Hintermüller, Michael; Hinze, Michael
2009
A proximal bundle method based on approximate subgradients. Zbl 1054.90053
Hintermüller, Michael
2001
Goal-oriented adaptivity in control constrained optimal control of partial differential equations. Zbl 1167.49029
Hintermüller, M.; Hoppe, R. H. W.
2008
Electrical impedance tomography: from topology to shape. Zbl 1194.49062
Hintermüller, Michael; Laurain, Antoine
2008
Nonconvex TV$$^q$$-models in image restoration: analysis and a trust-region regularization-based superlinearly convergent solver. Zbl 1281.65033
Hintermüller, Michael; Wu, Tao
2013
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.
2011
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.
2013
Second-order topological expansion for electrical impedance tomography. Zbl 1243.49049
Hintermüller, M.; Laurain, A.; Novotny, A. A.
2012
PDE-constrained optimization subject to pointwise constraints on the control, the state, and its derivative. Zbl 1195.49037
Hintermüller, Michael; Kunisch, Karl
2009
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
2013
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.
2014
Obstacle problems with cohesion: a hemivariational inequality approach and its efficient numerical solution. Zbl 1228.49012
Hintermüller, M.; Kovtunenko, V. A.; Kunisch, K.
2011
First-order optimality conditions for elliptic mathematical programs with equilibrium constraints via variational analysis. Zbl 1248.49030
Hintermüller, M.; Surowiec, T.
2011
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
2014
Goal-oriented adaptivity in pointwise state constrained optimal control of partial differential equations. Zbl 1208.49025
Hintermüller, Michael; Hoppe, Ronald H. W.
2010
Non-overlapping domain decomposition methods for dual total variation based image denoising. Zbl 1323.65016
Hintermüller, Michael; Langer, Andreas
2015
A sequential minimization technique for elliptic quasi-variational inequalities with gradient constraints. Zbl 1268.47076
Hintermüller, Michael; Rautenberg, Carlos N.
2012
Optimal shape design subject to elliptic variational inequalities. Zbl 1228.49045
Hintermüller, M.; Laurain, A.
2011
Optimal control of a semidiscrete Cahn-Hilliard-Navier-Stokes system with nonmatched fluid densities. Zbl 1368.49022
Hintermüller, Michael; Keil, Tobias; Wegner, Donat
2017
The primal-dual active set method for a crack problem with non-penetration. Zbl 1084.49029
Hintermüller, M.; Kovtunenko, V. A.; Kunisch, K.
2004
From shape variation to topological changes in constrained minimization: a velocity method-based concept. Zbl 1245.49058
Hintermüller, M.; Kovtunenko, V. A.
2011
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.
2006
Fast level set based algorithms using shape and topological sensitivity information. Zbl 1167.49317
Hintermüller, M.
2005
An inexact Newton-CG-type active contour approach for the minimization of the Mumford-Shah functional. Zbl 1366.65066
Hintermüller, Michael; Ring, Wolfgang
2004
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
2015
Inverse coefficient problems for variational inequalities: Optimality conditions and numerical realization. Zbl 0978.65054
Hintermüller, Michael
2001
Optimal bilinear control of Gross-Pitaevskii equations. Zbl 1277.49005
Hintermüller, Michael; Marahrens, Daniel; Markowich, Peter A.; Sparber, Christof
2013
Principal eigenvalue minimization for an elliptic problem with indefinite weight and Robin boundary conditions. Zbl 1242.49094
Hintermüller, M.; Kao, C.-Y.; Laurain, A.
2012
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
2010
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
2017
Mesh-independence of semismooth Newton methods for Lavrentiev-regularized state constrained nonlinear optimal control problems. Zbl 1143.65051
Hintermüller, M.; Tröltzsch, F.; Yousept, I.
2008
Tube methods for BV regularization. Zbl 1101.68927
Hinterberger, Walter; Hintermüller, Michael; Kunisch, Karl; von Oehsen, Markus; Scherzer, Otmar
2003
Semismooth Newton methods for a class of unilaterally constrained variational problems. Zbl 1083.49023
Hintermüller, M.; Kovtunenko, V.; Kunisch, K.
2004
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
2010
Parabolic quasi-variational inequalities with gradient-type constraints. Zbl 1293.35156
Hintermüller, Michael; Rautenberg, Carlos N.
2013
A duality based semismooth Newton framework for solving variational inequalities of the second kind. Zbl 1247.65089
De Los Reyes, Juan Carlos; Hintermüller, Michael
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.
2017
Spatially dependent regularization parameter selection in total generalized variation models for image restoration. Zbl 1278.68327
Bredies, Kristian; Dong, Yiqiu; Hintermüller, Michael
2013
A duality-based path-following semismooth Newton method for elasto-plastic contact problems. Zbl 1322.49051
Hintermüller, M.; Rösel, S.
2016
A level set approach for the solution of a state-constrained optimal control problem. Zbl 1059.65057
Hintermüller, Michael; Ring, Wolfgang
2004
A smooth penalty approach and a nonlinear multigrid algorithm for elliptic MPECs. Zbl 1229.49032
Hintermüller, M.; Kopacka, I.
2011
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.
2014
A PDE-constrained generalized Nash equilibrium problem with pointwise control and state constraints. Zbl 1269.65062
Hintermüller, M.; Surowiec, T.
2013
On the density of classes of closed convex sets with pointwise constraints in Sobolev spaces. Zbl 1352.46033
Hintermüller, M.; Rautenberg, C. N.
2015
Functional-analytic and numerical issues in splitting methods for total variation-based image reconstruction. Zbl 1293.94015
Hintermüller, Michael; Rautenberg, Carlos N.; Hahn, Jooyoung
2014
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.
2017
Topological sensitivity analysis in fluorescence optical tomography. Zbl 1334.49138
Laurain, A.; Hintermüller, M.; Freiberger, M.; Scharfetter, H.
2013
Dynamical systems-based optimal control of incompressible fluids. Zbl 1081.76016
Hintermüller, Michael; Kunisch, Karl; Spasov, Yulian; Volkwein, Stefan
2004
Bilevel optimization for calibrating point spread functions in blind deconvolution. Zbl 1343.49023
Hintermüller, Michael; Wu, Tao
2015
Directional differentiability for elliptic quasi-variational inequalities of obstacle type. Zbl 1439.49014
Alphonse, Amal; Hintermüller, Michael; Rautenberg, Carlos N.
2019
On the uniqueness and numerical approximation of solutions to certain parabolic quasi-variational inequalities. Zbl 1477.49015
Hintermüller, Michael; Rautenberg, Carlos N.
2017
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.
2007
A superlinearly convergent $$R$$-regularized Newton scheme for variational models with concave sparsity-promoting priors. Zbl 1286.90116
Hintermüller, Michael; Wu, Tao
2014
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.
2015
Generalized Newton methods for crack problems with nonpenetration condition. Zbl 1086.74045
Hintermüller, M.; Kovtunenko, V. A.; Kunisch, K.
2005
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.
2018
A function space framework for structural total variation regularization with applications in inverse problems. Zbl 1436.65070
Hintermüller, Michael; Holler, Martin; Papafitsoros, Kostas
2018
A bundle-free implicit programming approach for a class of elliptic MPECs in function space. Zbl 1355.49025
Hintermüller, M.; Surowiec, T.
2016
Finite horizon model predictive control of electrowetting on dielectric with pinning. Zbl 1368.49004
Antil, Harbir; Hintermüller, Michael; Nochetto, Ricardo H.; Surowiec, Thomas M.
2017
A multi-scale vectorial $$L^{\tau }$$-TV framework for color image restoration. Zbl 1235.68259
Dong, Yiqiu; Hintermüller, Michael; Rincon-Camacho, M. Monserrat
2011
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.
2012
Space mapping for optimal control of partial differential equations. Zbl 1114.49033
Hintermüller, Michael; Vicente, Luís N.
2005
A primal-dual active set algorithm for bilaterally control constrained optimal control problems. Zbl 1025.49022
Hintermüller, Michael
2003
A Papkovich-Neuber-based numerical approach to cracks with contact in 3D. Zbl 1169.74645
Hintermüller, M.; Kovtunenko, V. A.; Kunisch, K.
2009
An active-set equality constrained Newton solver with feasibility restoration for inverse coefficient problems in elliptic variational inequalities. Zbl 1187.35277
Hintermüller, M.
2008
Density of convex intersections and applications. Zbl 1402.49012
Hintermüller, M.; Rautenberg, C. N.; Rösel, S.
2017
A shape and topology optimization technique for solving a class of linear complementarity problems in function space. Zbl 1230.90187
Hintermüller, M.; Laurain, A.
2010
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
2011
Dissipative and non-dissipative evolutionary quasi-variational inequalities with gradient constraints. Zbl 1418.35248
Hintermüller, M.; Rautenberg, C. N.; Strogies, N.
2019
Optimal sensor placement: a robust approach. Zbl 06812478
Hintermüller, Michael; Rautenberg, Carlos N.; Mohammadi, Masoumeh; Kanitsar, Martin
2017
Analytical aspects of spatially adapted total variation regularisation. Zbl 1416.94016
Hintermüller, Michael; Papafitsoros, Konstantinos; Rautenberg, Carlos N.
2017
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
2010
Distortion compensation as a shape optimisation problem for a sharp interface model. Zbl 1341.49054
Sturm, Kevin; Hintermüller, Michael; Hömberg, Dietmar
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.
2014
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
2015
A semi-smooth Newton method for constrained linear-quadratic control problems. Zbl 1015.49025
2003
Total variation diminishing schemes in optimal control of scalar conservation laws. Zbl 1483.49042
Hajian, Soheil; Hintermüller, Michael; Ulbrich, Stefan
2019
Recent trends and views on elliptic quasi-variational inequalities. Zbl 1448.49013
Alphonse, Amal; Hintermüller, Michael; Rautenberg, Carlos N.
2019
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.
2014
Constrained optimization for interface cracks in composite materials subject to non-penetration conditions. Zbl 1126.74040
Hintermüller, M.; Kovtunenko, V. A.; Kunisch, K.
2007
Globalization of SQP-methods in control of the instationary Navier-Stokes equations. Zbl 1073.49025
Hintermüller, Michael; Hinze, Michael
2002
Limiting aspects of nonconvex $${TV}^{\phi}$$ models. Zbl 1328.65064
Hintermüller, Michael; Valkonen, Tuomo; Wu, Tao
2015
An adaptive finite element method in $$L^2$$-TV-based image denoising. Zbl 1404.65265
Hintermüller, Michael; Rincon-Camacho, Monserrat
2014
A sensitivity-based extrapolation technique for the numerical solution of state-constrained optimal control problems. Zbl 1201.49032
Hintermüller, Michael; Yousept, Irwin
2010
Projected gradient flows for BV/level set relaxation. Zbl 1391.76464
Burger, Martin; Hintermüller, Michael
2005
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
2018
Stability of the solution set of quasi-variational inequalities and optimal control. Zbl 07283564
Alphonse, Amal; Hintermüller, Michael; Rautenberg, Carlos N.
2020
Identification of the friction function in a semilinear system for gas transport through a network. Zbl 1443.35188
Hintermüller, Michael; Strogies, Nikolai
2020
Directional differentiability for elliptic quasi-variational inequalities of obstacle type. Zbl 1439.49014
Alphonse, Amal; Hintermüller, Michael; Rautenberg, Carlos N.
2019
Dissipative and non-dissipative evolutionary quasi-variational inequalities with gradient constraints. Zbl 1418.35248
Hintermüller, M.; Rautenberg, C. N.; Strogies, N.
2019
Total variation diminishing schemes in optimal control of scalar conservation laws. Zbl 1483.49042
Hajian, Soheil; Hintermüller, Michael; Ulbrich, Stefan
2019
Recent trends and views on elliptic quasi-variational inequalities. Zbl 1448.49013
Alphonse, Amal; Hintermüller, Michael; Rautenberg, Carlos N.
2019
Optimization of a multiphysics problem in semiconductor laser design. Zbl 1412.35110
Adam, Lukáš; Hintermüller, Michael; Peschka, Dirk; Surowiec, Thomas M.
2019
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.
2018
A function space framework for structural total variation regularization with applications in inverse problems. Zbl 1436.65070
Hintermüller, Michael; Holler, Martin; Papafitsoros, Kostas
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
2018
A goal-oriented dual-weighted adaptive finite element approach for the optimal control of a nonsmooth Cahn-Hilliard-Navier-Stokes system. Zbl 07465689
Hintermüller, Michael; Hinze, Michael; Kahle, Christian; Keil, Tobias
2018
Optimal control of a semidiscrete Cahn-Hilliard-Navier-Stokes system with nonmatched fluid densities. Zbl 1368.49022
Hintermüller, Michael; Keil, Tobias; Wegner, Donat
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
2017
Optimal selection of the regularization function in a weighted total variation model. I: Modelling and theory. Zbl 1382.94015
Hintermüller, Michael; Rautenberg, Carlos N.
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.
2017
On the uniqueness and numerical approximation of solutions to certain parabolic quasi-variational inequalities. Zbl 1477.49015
Hintermüller, Michael; Rautenberg, Carlos N.
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.
2017
Density of convex intersections and applications. Zbl 1402.49012
Hintermüller, M.; Rautenberg, C. N.; Rösel, S.
2017
Optimal sensor placement: a robust approach. Zbl 06812478
Hintermüller, Michael; Rautenberg, Carlos N.; Mohammadi, Masoumeh; Kanitsar, Martin
2017
Analytical aspects of spatially adapted total variation regularisation. Zbl 1416.94016
Hintermüller, Michael; Papafitsoros, Konstantinos; Rautenberg, Carlos N.
2017
A duality-based path-following semismooth Newton method for elasto-plastic contact problems. Zbl 1322.49051
Hintermüller, M.; Rösel, S.
2016
A bundle-free implicit programming approach for a class of elliptic MPECs in function space. Zbl 1355.49025
Hintermüller, M.; Surowiec, T.
2016
Distortion compensation as a shape optimisation problem for a sharp interface model. Zbl 1341.49054
Sturm, Kevin; Hintermüller, Michael; Hömberg, Dietmar
2016
Non-overlapping domain decomposition methods for dual total variation based image denoising. Zbl 1323.65016
Hintermüller, Michael; Langer, Andreas
2015
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
2015
On the density of classes of closed convex sets with pointwise constraints in Sobolev spaces. Zbl 1352.46033
Hintermüller, M.; Rautenberg, C. N.
2015
Bilevel optimization for calibrating point spread functions in blind deconvolution. Zbl 1343.49023
Hintermüller, Michael; Wu, Tao
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.
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
2015
Limiting aspects of nonconvex $${TV}^{\phi}$$ models. Zbl 1328.65064
Hintermüller, Michael; Valkonen, Tuomo; Wu, Tao
2015
An $$\ell_1$$-penalty scheme for the optimal control of elliptic variational inequalities. Zbl 1330.65101
Hintermüller, M.; Löbhard, C.; Tber, M. H.
2015
Optimal control of a semidiscrete Cahn-Hilliard-Navier-Stokes system. Zbl 1293.49045
Hintermüller, M.; Wegner, Donat
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.
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
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.
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
2014
A superlinearly convergent $$R$$-regularized Newton scheme for variational models with concave sparsity-promoting priors. Zbl 1286.90116
Hintermüller, Michael; Wu, Tao
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.
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.
2014
An adaptive finite element method in $$L^2$$-TV-based image denoising. Zbl 1404.65265
Hintermüller, Michael; Rincon-Camacho, Monserrat
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
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.
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
2013
Optimal bilinear control of Gross-Pitaevskii equations. Zbl 1277.49005
Hintermüller, Michael; Marahrens, Daniel; Markowich, Peter A.; Sparber, Christof
2013
Parabolic quasi-variational inequalities with gradient-type constraints. Zbl 1293.35156
Hintermüller, Michael; Rautenberg, Carlos N.
2013
Spatially dependent regularization parameter selection in total generalized variation models for image restoration. Zbl 1278.68327
Bredies, Kristian; Dong, Yiqiu; Hintermüller, Michael
2013
A PDE-constrained generalized Nash equilibrium problem with pointwise control and state constraints. Zbl 1269.65062
Hintermüller, M.; Surowiec, T.
2013
Topological sensitivity analysis in fluorescence optical tomography. Zbl 1334.49138
Laurain, A.; Hintermüller, M.; Freiberger, M.; Scharfetter, H.
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
2012
Second-order topological expansion for electrical impedance tomography. Zbl 1243.49049
Hintermüller, M.; Laurain, A.; Novotny, A. A.
2012
A sequential minimization technique for elliptic quasi-variational inequalities with gradient constraints. Zbl 1268.47076
Hintermüller, Michael; Rautenberg, Carlos N.
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.
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.
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
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.
2011
Obstacle problems with cohesion: a hemivariational inequality approach and its efficient numerical solution. Zbl 1228.49012
Hintermüller, M.; Kovtunenko, V. A.; Kunisch, K.
2011
First-order optimality conditions for elliptic mathematical programs with equilibrium constraints via variational analysis. Zbl 1248.49030
Hintermüller, M.; Surowiec, T.
2011
Optimal shape design subject to elliptic variational inequalities. Zbl 1228.49045
Hintermüller, M.; Laurain, A.
2011
From shape variation to topological changes in constrained minimization: a velocity method-based concept. Zbl 1245.49058
Hintermüller, M.; Kovtunenko, V. A.
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
2011
A smooth penalty approach and a nonlinear multigrid algorithm for elliptic MPECs. Zbl 1229.49032
Hintermüller, M.; Kopacka, I.
2011
A multi-scale vectorial $$L^{\tau }$$-TV framework for color image restoration. Zbl 1235.68259
Dong, Yiqiu; Hintermüller, Michael; Rincon-Camacho, M. Monserrat
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
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
2011
Goal-oriented adaptivity in pointwise state constrained optimal control of partial differential equations. Zbl 1208.49025
Hintermüller, Michael; Hoppe, Ronald H. W.
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
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
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.
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
2010
A sensitivity-based extrapolation technique for the numerical solution of state-constrained optimal control problems. Zbl 1201.49032
Hintermüller, Michael; Yousept, Irwin
2010
Goal oriented mesh adaptivity for mixed control-state constrained elliptic optimal control problems. Zbl 1186.65080
Hintermüller, Michael; Hoppe, Ronald H. W.
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.
2009
An efficient primal-dual method for $$L^1$$TV image restoration. Zbl 1187.68653
Dong, Yiqiu; Hintermüller, Michael; Neri, Marrick
2009
Moreau-Yosida regularization in state constrained elliptic control problems: error estimates and parameter adjustment. Zbl 1191.49036
Hintermüller, Michael; Hinze, Michael
2009
PDE-constrained optimization subject to pointwise constraints on the control, the state, and its derivative. Zbl 1195.49037
Hintermüller, Michael; Kunisch, Karl
2009
A Papkovich-Neuber-based numerical approach to cracks with contact in 3D. Zbl 1169.74645
Hintermüller, M.; Kovtunenko, V. A.; Kunisch, K.
2009
Image registration and segmentation based on energy minimization. Zbl 1341.92037
Hintermüller, Michael; Keeling, Stephen L.
2009
Mesh-independence and preconditioning for solving parabolic control problems with mixed control-state constraints. Zbl 1167.49027
Hintermüller, Michael; Kopacka, Ian; Volkwein, Stefan
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
2008
Goal-oriented adaptivity in control constrained optimal control of partial differential equations. Zbl 1167.49029
Hintermüller, M.; Hoppe, R. H. W.
2008
Electrical impedance tomography: from topology to shape. Zbl 1194.49062
Hintermüller, Michael; Laurain, Antoine
2008
Mesh-independence of semismooth Newton methods for Lavrentiev-regularized state constrained nonlinear optimal control problems. Zbl 1143.65051
Hintermüller, M.; Tröltzsch, F.; Yousept, I.
2008
An active-set equality constrained Newton solver with feasibility restoration for inverse coefficient problems in elliptic variational inequalities. Zbl 1187.35277
Hintermüller, M.
2008
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.
2007
Constrained optimization for interface cracks in composite materials subject to non-penetration conditions. Zbl 1126.74040
Hintermüller, M.; Kovtunenko, V. A.; Kunisch, K.
2007
Fast solution techniques in constrained optimal boundary control of the semilinear heat equation. Zbl 1239.49039
Hintermüller, M.; Volkwein, S.; Diwoky, F.
2007
An infeasible primal-dual algorithm for total bounded variation–based Inf-convolution-type image restoration. Zbl 1136.94302
2006
Path-following methods for a class of constrained minimization problems in function space. Zbl 1137.49028
Hintermüller, Michael; Kunisch, Karl
2006
Feasible and noninterior path-following in constrained minimization with low multiplier regularity. Zbl 1121.49030
Hintermüller, M.; Kunisch, K.
2006
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.
2006
Fast level set based algorithms using shape and topological sensitivity information. Zbl 1167.49317
Hintermüller, M.
2005
Generalized Newton methods for crack problems with nonpenetration condition. Zbl 1086.74045
Hintermüller, M.; Kovtunenko, V. A.; Kunisch, K.
2005
Space mapping for optimal control of partial differential equations. Zbl 1114.49033
Hintermüller, Michael; Vicente, Luís N.
2005
Projected gradient flows for BV/level set relaxation. Zbl 1391.76464
Burger, Martin; Hintermüller, Michael
2005
Differential stability of control-constrained optimal control problems for the Navier-Stokes equations. Zbl 1094.35090
Griesse, Roland; Hintermüller, Michael; Hinze, Michael
2005
Total bounded variation regularization as a bilaterally constrained optimization problem. Zbl 1055.94504
Hintermüller, M.; Kunisch, K.
2004
A mesh-independence result for semismooth Newton methods. Zbl 1079.65065
Hintermüller, Michael; Ulbrich, Michael
2004
The primal-dual active set method for a crack problem with non-penetration. Zbl 1084.49029
Hintermüller, M.; Kovtunenko, V. A.; Kunisch, K.
2004
An inexact Newton-CG-type active contour approach for the minimization of the Mumford-Shah functional. Zbl 1366.65066
Hintermüller, Michael; Ring, Wolfgang
2004
Semismooth Newton methods for a class of unilaterally constrained variational problems. Zbl 1083.49023
Hintermüller, M.; Kovtunenko, V.; Kunisch, K.
2004
...and 15 more Documents
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### Cited by 1,399 Authors

 58 Hintermüller, Michael 40 Kunisch, Karl 24 Kovtunenko, Viktor Anatolievich 23 Hinze, Michael 22 Novotny, Antonio André 20 De los Reyes, Juan Carlos 17 Laurain, Antoine 17 Rautenberg, Carlos N. 16 Sprekels, Jürgen 15 Gudi, Thirupathi 15 Tröltzsch, Fredi 15 Yousept, Irwin 14 Colli, Pierluigi 14 Kanzow, Christian 14 Surowiec, Thomas 14 Wohlmuth, Barbara I. 13 Brenner, Susanne Cecelia 13 Meyer, Christian 12 Herzog, Roland 12 Huang, Ting-Zhu 12 Kahle, Christian 12 Pang, Liping 11 Garcke, Harald 11 Gilardi, Gianni 11 Sokołowski, Jan 11 Sturm, Kevin 11 Wachsmuth, Gerd 11 Zeng, Tie Yong 10 Stoll, Martin 10 Tai, Xuecheng 10 Volkwein, Stefan 10 Wachsmuth, Daniel 10 Wu, Chunlin 9 Amstutz, Samuel 9 Chen, Ke 9 Gwinner, Joachim 9 Lazarev, Nyurgun Petrovich 9 Lu, Xiliang 9 Neitzel, Ira 9 Park, Jongho 9 Popp, Alexander 9 Ulbrich, Michael 9 Wall, Wolfgang A. 8 Dong, Yiqiu 8 Ito, Kazufumi 8 Lee, Chang-Ock 8 Leugering, Günter 8 Rösch, Arnd 8 Scarpa, Luca 8 Schönlieb, Carola-Bibiane 8 Steidl, Gabriele 7 Bartels, Sören 7 Burger, Martin 7 Clason, Christian 7 Giusti, Sebastián M. 7 Khan, Akhtar Ali 7 Migórski, Stanisław 7 Otárola, Enrique 7 Rudoy, Evgeny Mikhailovich 7 Schiela, Anton 7 Shen, Lixin 7 Valkonen, Tuomo 7 Wick, Thomas 7 Zhao, Xile 6 Allendes, Alejandro 6 Alphonse, Amal 6 Antil, Harbir 6 Blank, Luise 6 Chambolle, Antonin 6 Christof, Constantin 6 Feng, Binhua 6 González Andrade, Sergio 6 Itou, Hiromichi 6 Kao, Chiu-Yen 6 Khludnev, Aleksandr Mikhaĭlovich 6 Mehlitz, Patrick 6 Nochetto, Ricardo Horacio 6 Pock, Thomas 6 Prüfert, Uwe 6 Rocca, Elisabetta 6 Shen, Jie 6 Steck, Daniel A. 6 Tber, Moulay Hicham 6 Ulbrich, Stefan 6 Weiser, Martin 6 Wollner, Winnifried 6 Yan, Ningning 6 Yücel, Hamdullah 6 Zochowski, Antoni 5 Benner, Peter 5 Borzì, Alfio 5 Bredies, Kristian 5 Chan, Tony Fan-Cheong 5 Karasözen, Bülent 5 Kučera, Radek 5 Lam, Kei Fong 5 Lapin, Aleksandr Vasil’evich 5 Lv, Xiaoguang 5 Majumder, Papri 5 Munk, Axel ...and 1,299 more Authors
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### Cited in 199 Serials

 68 Computational Optimization and Applications 44 SIAM Journal on Control and Optimization 39 Journal of Scientific Computing 35 Computer Methods in Applied Mechanics and Engineering 31 Inverse Problems 29 Journal of Mathematical Imaging and Vision 28 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 27 Computers & Mathematics with Applications 27 Journal of Computational and Applied Mathematics 26 SIAM Journal on Scientific Computing 25 Journal of Optimization Theory and Applications 25 Optimization Methods & Software 23 SIAM Journal on Optimization 22 Applied Mathematics and Optimization 21 Inverse Problems and Imaging 21 SIAM Journal on Imaging Sciences 20 Advances in Computational Mathematics 20 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 19 Mathematical Programming. Series A. Series B 17 Journal of Computational Physics 17 SIAM Journal on Numerical Analysis 16 Numerische Mathematik 14 Journal of Mathematical Analysis and Applications 14 Applied Mathematics and Computation 13 Numerical Functional Analysis and Optimization 11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 11 Optimization 11 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 11 International Journal of Computer Mathematics 10 International Journal for Numerical Methods in Engineering 10 Set-Valued and Variational Analysis 9 Mathematics of Computation 9 Numerical Algorithms 9 Computational Methods in Applied Mathematics 8 Applied Numerical Mathematics 8 Journal of Inverse and Ill-Posed Problems 7 Applicable Analysis 7 BIT 7 Numerical Methods for Partial Differential Equations 7 Applied Mathematical Modelling 7 SIAM Journal on Applied Mathematics 7 Calculus of Variations and Partial Differential Equations 7 Optimization and Engineering 7 Inverse Problems in Science and Engineering 6 Mathematical Methods in the Applied Sciences 6 Optimal Control Applications & Methods 6 Mathematical Problems in Engineering 6 Mathematical Control and Related Fields 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Mathematics and Computers in Simulation 5 Computational Mechanics 5 Applications of Mathematics 5 SIAM Journal on Mathematical Analysis 5 International Journal of Computer Vision 5 Abstract and Applied Analysis 5 Computational Geosciences 5 Acta Numerica 5 GAMM-Mitteilungen 4 Systems & Control Letters 4 Journal of Global Optimization 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Computational and Applied Mathematics 4 Computing and Visualization in Science 4 Communications in Nonlinear Science and Numerical Simulation 4 Nonlinear Analysis. Real World Applications 4 Journal of Applied Mathematics and Computing 4 Structural and Multidisciplinary Optimization 4 Journal of Industrial and Management Optimization 4 Communications in Computational Physics 3 Computing 3 Information Sciences 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Applied Mathematics Letters 3 Computational Mathematics and Mathematical Physics 3 ETNA. Electronic Transactions on Numerical Analysis 3 Journal of Convex Analysis 3 Discrete and Continuous Dynamical Systems 3 Mathematics and Mechanics of Solids 3 Journal of Inequalities and Applications 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 Lobachevskii Journal of Mathematics 3 Discrete and Continuous Dynamical Systems. Series B 3 Communications on Pure and Applied Analysis 3 Optimization Letters 3 East Asian Journal on Applied Mathematics 2 Archive for Rational Mechanics and Analysis 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 2 Nonlinearity 2 Journal of Differential Equations 2 Zeitschrift für Analysis und ihre Anwendungen 2 Applied Mathematics and Mechanics. (English Edition) 2 SIAM Journal on Matrix Analysis and Applications 2 Journal of Elasticity 2 Russian Mathematics 2 Numerical Linear Algebra with Applications 2 Engineering Analysis with Boundary Elements 2 Journal of Applied Mechanics and Technical Physics ...and 99 more Serials
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### Cited in 37 Fields

 641 Calculus of variations and optimal control; optimization (49-XX) 589 Numerical analysis (65-XX) 367 Partial differential equations (35-XX) 243 Operations research, mathematical programming (90-XX) 192 Mechanics of deformable solids (74-XX) 164 Information and communication theory, circuits (94-XX) 100 Computer science (68-XX) 100 Fluid mechanics (76-XX) 52 Systems theory; control (93-XX) 46 Biology and other natural sciences (92-XX) 40 Operator theory (47-XX) 40 Optics, electromagnetic theory (78-XX) 24 Statistics (62-XX) 24 Classical thermodynamics, heat transfer (80-XX) 22 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 21 Probability theory and stochastic processes (60-XX) 12 Statistical mechanics, structure of matter (82-XX) 10 Real functions (26-XX) 10 Ordinary differential equations (34-XX) 10 Global analysis, analysis on manifolds (58-XX) 9 Functional analysis (46-XX) 8 Integral equations (45-XX) 7 Mechanics of particles and systems (70-XX) 7 Geophysics (86-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Integral transforms, operational calculus (44-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Approximations and expansions (41-XX) 4 Potential theory (31-XX) 4 Differential geometry (53-XX) 3 Manifolds and cell complexes (57-XX) 3 Quantum theory (81-XX) 2 General and overarching topics; collections (00-XX) 2 Special functions (33-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 Combinatorics (05-XX) 1 Measure and integration (28-XX)