Prof. Michael Hintermüller

Publications

  • L. Adam, M. Hintermüller, D. Peschka, T.M. Surowiec, Optimization of a multiphysics problem in semiconductor laser design, SIAM J. Appl. Math. 79 (2019), no. 1, 257-283
  • A. Alphonse,M. Hintermüller, C.N. Rautenberg, Directional differentiability for elliptic quasi-variational inequalities of obstacle type, Calculus of Variations and Partial Differential Equations (2019), published online on 24.01.2019, DOI 10.1007/s00526-018-1473-0
  • M. Hintermüller, M. Holler, K. Papafitsoros, A function space framework for structural total variation regularization with applications in inverse problems, Inverse Problems. An International Journal on the Theory and Practice of Inverse Problems, Inverse Methods and Computerized Inversion of Data, 34 (2018), pp. 064002/1-064002/39, DOI 10.1088/1361-6420/aab586
  • M. Hintermüller, M. Hinze, C. Kahle, T. Keil, A goal-oriented dual-weighted adaptive finite element approach for the optimal control of a nonsmooth Cahn-Hilliard-Navier-Stokes system, Optimization and Engineering. International Multidisciplinary Journal to Promote Optimization Theory & Applications in Engineering Sciences, 19 (2018), pp. 629-662, DOI 10.1007/s11081-018-9393-6 [bib]
  • M. Hintermüller, C.N. Rautenberg, N. Strogies, Dissipative and non-dissipative evolutionary quasi-variational inequalities with gradient constraints, Set-Valued and Variational Analysis. Theory and Applications. Springer, Dordrecht. English., published online on 14.07.2018, DOI 10.1007/s11228-018-0489-0
  • L. Adam, M. Hintermüller, Th. M. Surowiec, A semismooth Newton method with analytical path-following for the $H^1$-projection onto the Gibbs simplex, IMA Journal of Numerical Analysis, (2018), published online on 07.06.2018, DOI 10.1093/imanum/dry034
  • L. Adam, M. Hintermüller, Th. M. Surowiec, A PDE-constrained optimization approach for topology optimization of strained photonic devices, Annali di Matematica Pura ed Applicata. Serie Quarta. Fondazione Annali di Matematica Pura ed Applicata, c/o Dipartimento di Matematica "U. Dini", Firenze; Springer-Verlag, Heidelberg. English, French, German, Italian, English abstracts., 19 (2018), pp. 521-557, DOI 10.1007/s11081-018-9394-5
  • M. Hintermüller, S. Hajian, S. Ulbrich, Total variation diminishing schemes in optimal control of scalar conservation laws, IMA J. Numer. Anal., published online 2017, DOI 10.1093/imanum/drx073
  • M. Hintermüller, C.N. Rautenberg, S. Rösel, Density of convex intersections and applications, Proc. Roy. Soc. Edinburgh Sect. A, 473 (2017), pp. 20160919/1-20160919/28, DOI 10.1098/rspa.2016.0919 [bib]
  • M. Hintermüller, T.M. Surowiec, A Nonsmooth Approach for the Optimal Control of Variational Inequalities of the Second Kind, Set-Valued and Variational Analysis, published online 2017, DOI 10.1007/s11228-017-0408-9 [bib]
  • M. Hintermüller, C.N. Rautenberg, On the uniqueness and numerical approximation of solutions to certain parabolic quasi-variational inequalities, Portugaliae Mathematica. A Journal of the Portuguese Mathematical Society, 74(1), pp. 1-35, 2017 [bib]
  • M. Hintermüller, T. Keil, D. Wegner, Optimal Control of a Semidiscrete Cahn-Hilliard-Navier-Stokes System with Non-Matched Fluid Densities, SIAM Journal on Control and Optimization 55(3), pp. 1954-1989, 2017 [bib]
  • H. Antil, M. Hintermüller, R.H. Nochetto, T.M. Surowiec, D. Wegner, A , Finite Horizon Model Predictive Control of Electrowetting on Dielectric with Pinning [bib]
  • M. Hintermüller, C.N. Rautenberg, Optimal Selection of the Regularization Function in a Weighted Total Variation Model. Part I: Modelling and Theory, J. Math. Imaging Vision, 59(3), pp. 498-514, 2017 [bib]
  • M. Hintermüller, C.N. Rautenberg, T. Wu, A. Langer, Optimal selection of the regularization function in a generalized total variation model. Part II: Algorithm, its analysis and numerical tests, Journal of Mathematical Imaging and Vision 59(3), pp. 515-533, 2017 [bib]
  • M. Hintermüller, C.N. Rautenberg, M. Mohammadi, M. Kanitsar, Optimal sensor placement: A robust approach, SIAM Journal on Control and Optimization 55(6), 3609-3639, 2017 [bib]
  • M. Hintermüller, K. Papafitsoros, C.N. Rautenberg, Analytical aspects of spatially adapted total variation regularisation, Journal of Mathematical Analysis and Applications 454(2), pp. 891-935, 2017 [bib]
  • M. Hintermüller, M. Hinze, Ch. Kahle, T. Keil, Chapter 13: Fully Adaptive and Integrated Numerical Methods for the Simulation and Control of Variable Density Multiphase Flows Governed by Diffuse Interface Models, in: Transport Processes at Fluidic Interfaces, D. Bothe, A. Reusken, eds., Advances in Mathematical Fluid Mechanics, Birkhäuser, Springer International Publishing AG, Cham, 2017, pp. 305-353, (Chapter Published), DOI 10.1007/978-3-319-56602-3
  • M. Hintermüller, D. Wegner, Distributed and boundary control problems for the semidiscrete Cahn-Hilliard/Navier-Stokes system with nonsmooth Ginzburg-Landau energies, in: Topological Optimization and Optimal Transport, Radon Series on Computational and Applied Mathematics Vol.17 [bib]
  • M. Hintermüller, T. Surowiec, A bundle-free implicit programming approach for a class of elliptic MPECs in function space, Math. Program. 160(1-2), Ser. A, pp. 271-305, 2016 [bib]
  • M. Hintermüller, D. Hömberg, K. Sturm, Distortion compensation as a shape optimisation problem for a sharp interface model, Computational Optimization and Applications. An International Journal 64, pp. 557-588, 2016 [bib]
  • M. Hintermüller, S. Rösel, A duality-based path-following semismooth Newton method for elasto-plastic contact problems, Journal of Computational and Applied Mathematics 292(15), pp. 150-173, 2016 [bib]
  • M. Hintermüller, T. Valkonen, T. Wu, Limiting aspects of non-convex ^phi$ models [pdf], SIAM J. Imaging Sciences 8(4), pp. 2581-2621, 2015 [bib]
  • M. Hintermüller, T. Wu, Bilevel Optimization for Calibrating Point Spread Functions in Blind Deconvolution, Inverse Problems in Imaging 9(4), pp. 1139-1169, 2015 [bib]
  • M. Hintermüller, T. Surowiec, A. Kämmler, Generalized Nash Equilibrium Problems in Banach Spaces: Theory, Nikaido-Isoda-Based Path-Following Methods, and Applications [pdf], SIAM J. Optimization 25(3), pp. 1826-1856, 2015 [bib]
  • M. Hintermüller, C. Löbhard, H.M. Tber, An l1-penalty scheme for the optimal control of elliptic variational inequalities, in: Numerical Analysis and Optimization Volume 134 of the series Springer Proceedings in Mathematics & Statistics, pp. 151-190, 2015 [bib]
  • M. Hintermüller, A. Laurain, I. Yousept, Shape Sensitivities for an Inverse Problem in Magnetic Induction Tomography Based on the Eddy Current Model [pdf], Inverse Problems 31(6), 2015 [bib]
  • M. Hintermüller, C.N. Rautenberg, On the density of classes of closed convex sets with pointwise constraints in Sobolev spaces [pdf], J. Math. Anal. Appl. 426(1) pp. 585-593, 2015 [bib]
  • M. Hintermüller, J. Rasch, Several path-following methods for a class of gradient constrained variational inequalities [pdf], Computers and Mathematics with Applications 69(10),2015, pp. 1045-1067 [bib]
  • C. Brett, C. Elliott, M. Hintermüller, C. Löbhard, Mesh Adaptivity in Optimal Control of Elliptic Variational Inequalities with Point-Tracking of the State [pdf], Interfaces and Free Boundaries 17(1), pp. 21-53, 2015 [bib]
  • A. Gaevskaja, M. Hintermüller, R.H.W. Hoppe, C. Löbhard, Adaptive finite elements for optimally controlled elliptic variational inequalities of obstacle type, in: Optimization with PDE Constraints, pp. 95-105, 2014, Ronald Hoppe (Ed.) [bib]
  • M. Hintermüller, T. Wu, Robust Principal Component Pursuit via Alternating Minimization on Matrix Manifolds [pdf], (the final publication is available at Springer via http://dx.doi.org/10.1007/s10851-014-0527-y), Journal of Mathematical Imaging and Vision 51(3), pp. 361-377, 2015 [bib]
  • M. Hintermüller, A. Langer, Non-Overlapping Domain Decomposition Methods For Dual Total Variation Based Image Denoising, Journal of Scientific Computing 62(2), pp. 456-481, 2015 [bib]
  • M. Hintermüller, C.N. Rautenberg, J. Hahn, Functional-analytic and numerical issues in splitting methods for total variation-based image reconstruction, Inverse Problems 30(5), pp. 055014, 2014 [bib]
  • M. Hintermüller, A. Langer, Surrogate Functional Based Subspace Correction Methods for Image Processing, in Domain Decomposition Methods in Science and Engineering XXI Volume 98 of the series Lecture Notes in Computational Science and Engineering, pp. 829-837, 2014 [bib]
  • M. Hintermüller, M.M. Rincon-Camacho, An adaptive finite element method in $L2$-TV-based image denoising, Inverse Problems and Imaging, 8(3), 2014, pp. 685-711 [bib]
  • M. Hintermüller, B.S. Mordukhovich, T. Surowiec, Several Approaches for the Derivation of Stationarity Conditions for Elliptic MPECs with Upper-Level Control Constraints, Mathematical Programming 146(1-2), pp. 555-582 [bib]
  • M. Hintermüller, D. Wegner, Optimal control of a semi-discrete Cahn-Hilliard-Navier-Stokes system, SIAM J. Control and Optimization 52(1), pp. 747-772, 2014 [bib]
  • M. Hintermüller, A. Schiela, W. Wollner, The length of the primal-dual path in Moreau-Yosida-based path-following for state-constrained optimal control, SIAM J. Optimization 24(1), 108-126, 2014 [bib]
  • M. Hintermüller, R.H.W. Hoppe, C. Löbhard, A dual-weighted residual approach to goal-oriented adaptivity for optimal control of elliptic variational inequalities, ESAIM: Control, Optimisation and Calculus of Variations 20(2), 2014, pp. 524-546 [bib]
  • M. Hintermüller, T. Wu, A superlinearly convergent R-regularized Newton scheme for variational models with concave sparsity-promoting priors, Computational Optimization and Applications 57(1), pp. 1-25, 2014 [bib]
  • M. Hintermüller, A. Langer, Subspace Correction Methods for a Class of Nonsmooth and Nonadditive Convex Variational Problems with Mixed $L^1/L^2$ Data-Fidelity in Image Processing, SIAM J. Imaging Sci., 6(4), 2134-2173, 2013 [bib]
  • M. Hintermüller, C.N. Rautenberg, Parabolic quasi-variational inequalities with gradient-type constraints, SIAM J. on Optimization 23(4), pp. 2090-2123, 2013 [bib]
  • M. Hintermüller, T. Wu, A Smoothing Descent Method for Nonconvex TV^q-Models, Lecture Notes in Computer Science 8293 (Efficient Algorithms for Global Optimization Methods in Computer Vision), pp. 119-133, 2014 [bib]
  • M. Hintermüller, T. Wu, Nonconvex TV^q-Models in Image Restoration: Analysis and a Trust-Region Regularization Based Superlinearly Convergent Solver, SIAM Journal on Imaging Science 6, 2013, pp. 1385-1415 [bib]
  • M. Hintermüller, T. Surowiec, A PDE-constrained generalized Nash equilibrium problem with pointwise control and state constraints, Pacific Journal on Optimization 9(2), pp. 251-273, 2013 [bib]
  • M. Hintermüller, D. Marahrens, P.A. Markowich, C. Sparber, Optimal bilinear control of Gross-Pitaevskii equations, SIAM J. Control and Optimization 51(3), pp. 2509-2543, 2013 [bib]
  • M. Freiberger, M. Hintermüller, A. Laurain, H. Scharfetter, Topological sensitivity analysis in fluorescence optical tomography, Inverse Problems 29(2), 2013 [bib]
  • M. Hintermüller, M. Hinze, C. Kahle, An adaptive finite element Moreau-Yosida-based solver for a coupled Cahn-Hilliard/Navier-Stokes system, Journal of Computational Physics, 2012 [bib]
  • M. Hintermüller, C.N. Rautenberg, A Sequential Minimization Technique for Elliptic Quasi-Variational Inequalities with Gradient Constraints, SIAM Journal on Optimization 22(4), 2012, pp. 1224-1257 [bib]
  • K. Bredies, Y. Dong, M. Hintermüller, Spatially dependent regularization parameter selection in total generalized variation models for image restoration, International Journal of Computer Mathematics 90(1), 2013, pp. 109-123 [bib]
  • M. Hintermüller, D. Wegner, Distributed optimal control of the Cahn-Hilliard system including the case of a double-obstacle homogeneous free energy density [pdf], SIAM J. Control Optim. 50, 2012, pp. 388-418 [bib]
  • M. Hintermüller, C.Y. Kao, A. Laurain, Principal Eigenvalue Minimization for an Elliptic Problem with Indefinite Weight and Robin Boundary Conditions, Applied Mathematics & Optimization 65(1), 111-146, 2012, DOI 10.1007/s00245-011-9153-x [bib]
  • M. Hintermüller, J.C. de los Reyes, A Duality-Based Semismooth Newton Framework for Solving Variational Inequalities of the Second Kind, Interfaces and Free Boundaries 13, 2011, pp. 437-462 [bib]
  • M. Hintermüller, T. Surowiec, First Order Optimality Conditions for Elliptic Mathematical Programs with Equilibrium Constraints via Variational Analysis, SIAM J. Optim. 21(4), pp. 1561-1593, 2012 [bib]
  • C. Elliott, M. Hintermüller, G. Leugering, J. Sokolowski, Advances in Shape and Topology Optimization: Theory, Numerics and New Application Areas., Optimization Methods and Software 26, Special Journal Issue 4-5, 2011, pp. 511-894
  • M. Hintermüller, M. Hinze, R.H.W. Hoppe, Weak-Duality Based Adaptive Finite Element Methods for PDE-Constrained Optimization with Pointwise Gradient State-Constraints, J. Comp. Math. 30, 2012, pp. 101-123 [bib]
  • C. Clason, M. Hintermüller, S.L. Keeling, F. Knoll, A. Laurain, G. Von Winckel, An image space approach to Cartesian based parallel MR imaging with total variation regularization, Medical Image Analysis 16(1), pp. 189-200, 2012 [bib]
  • M. Hintermüller, V. Kovtunenko, K. Kunisch, Obstacle Problems with Cohesion: A Hemi-Variational Inequality Approach and its Efficient Numerical Solution [pdf], SIAM Journal on Optimization 21 (2), 2011, pp. 491-516 [bib]
  • S.L. Keeling, M. Hintermüller, F. Knoll, D. Kraft, A. Laurain, A Total Variation Based Approach to Correcting Surface Coil Magnetic Resonance Images, Applied Mathematics and Computation 218(2), 2011, pp. 219-232 [bib]
  • K. Chen, Y. Dong, M. Hintermüller, A Nonlinear Multigrid Solver with Line Gauss-Seidel-Semismooth-Newton-Smoother for the Fenchel-Pre-Dual in Total Variation based Image Restoration, Inverse Problems and Imaging 5(2), pp. 323 - 339, 2011 [bib]
  • M. Hintermüller, A. Laurain, A.A. Novotny, Second-Order Topological Expansion for Electrical Impedance Tomography, Advances in Computational Mathematics 36(2), pp. 235-265, 2012, DOI: 10.1007/s10444-011-9205-4 [bib]
  • M. Hintermüller, M. Hinze, M.H. Tber, An Adaptive Finite-Element Moreau-Yosida-Based Solver for a Non-smooth Cahn-Hilliard Problem, Optimization Methods and Software 26 (4-5), Special Issue: Advances in Shape and Topology Optimization: Theory, Numerics and New Applications Areas, 2011, pp. 777-811 [bib]
  • M. Hintermüller, A. Laurain, Optimal Shape Design Subject to Elliptic Variational Inequalities, SIAM J. Control Optim. 49 (3), 2011, pp. 1015 - 1047 [bib]
  • M. Hintermüller, Y. Dong, M.M. Rincon-Camacho, Automated Regularization Parameter Selection in Multi-Scale Total Variation Models for Image Restoration, Journal of Mathematical Imaging and Vision 40 (1), 2011, pp. 82-104 [bib]
  • M. Hintermüller, V.A. Kovtunenko, From Shape Variation to Topology Changes in Constrained Minimization: A Velocity Method-Based Concept, Optimization Methods and Software 26 (4-5), Special Issue: Advances in Shape and Topology Optimization: Theory, Numerics and New Applications Areas, 2011, pp. 513-532 [bib]
  • F. Knoll, Y. Dong, M. Hintermüller, C. Langkammer, R. Stollberger, Total Variation Denoising with Spatially Dependent Regularization [pdf], ISMRM 18th Annual Scientific Meeting and Exhibition 2010 Proceedings, p. 5088 [bib]
  • Y. Dong, M. Hintermüller, M.M. Rincon-Camacho, A Multi-Scale Vectorial L-tau-TV Framework for Color Image Restoration, International Journal of Computer Vision 92 (3), 2011, pp. 296 - 307, DOI: 10.1007/s11263-010-0359-1 [bib]
  • M. Hintermüller, R.H.W. Hoppe, Goal-Oriented Adaptivity in Pointwise State Constrained Optimal Control of Partial Differential Equations, SIAM J. Control Optim. 48, p. 5468-5487 (2010) [bib]
  • M. Hintermüller, M.M. Rincon-Camacho, Expected Absolute Value Estimators for a Spatially Adapted Regularization Parameter Choice Rule in L1-TV-Based Image Restoration, Inverse Problems, Vol. 26, No. 8 (2010) [bib]
  • M. Hintermüller, R.H.W. Hoppe, Goal-oriented mesh adaptivity for mixed control-state constrained elliptic optimal control problems, Computational Methods in Applied Sciences 15, 2010, pp. 97-111, DOI: 10.1007/978-90-481-3239-3_8 [bib]
  • M. Hintermüller, M.H. Tber, An inverse problem in American options as a mathematical program with equilibrium constraints: C-stationarity and an active-set-Newton solver., SIAM J. on Control and Optimization 48, 2010 [bib]
  • R. H. Chan, Y. Dong, M. Hintermüller, An efficient two-phase L1-TV method for restoring blurred images with impulse noise, IEEE Transactions on Image Processing 19 (4), 2010 [bib]
  • M. Hintermüller, I. Yousept, A sensitivity-based extrapolation technique for the numerical solution of state-constrained optimal control problems, ESAIM Control, Optimization and Calculus of Variations 16 (3), 2010, pp. 503-522 [bib]
  • M. Hintermüller, A. Laurain, A shape and topology optimization technique for solving a class of linear complementarity problems in function space, Computational Optimization and Applications 46 (3), 2010, pp. 535-569 [bib]
  • F. Knoll, Y. Dong, M. Hintermüller, R. Stollberger, Automatic spatially dependent parameter selection for TV denoising of MR images with non-uniform noise distribution, Biomed Tech 55 (Suppl. 1), 2010, pp. 198 - 202 [bib]
  • M. Hintermüller, S.L. Keeling, Image registration and segmentation based on energy minimization, Handbook of Optimization in Medicine. Series: Springer Optimization and Its Applications , Vol. 26 Pardalos, P.M.; Romeijn, H.E.(Eds.) 2009, XI I I, 442 p. 129 illus., Hardcover ISBN: 978-0-387-09769-5 [bib]
  • M. Hintermüller, M. Hinze, Moreau-Yosida Regularization in State Constrained Elliptic Control Problems: Error Estimates and Parameter Adjustment, SIAM J. on Numerical Analysis, 47 (3), 2009, pp. 1666-1683 [bib]
  • M. Hintermüller, I. Kopacka, A smooth penalty approach and a nonlinear multigrid algorithm for elliptic MPECs, Computational Optimization and Applications 50 (1), 2011, pp. 111-145 [bib]
  • Y. Dong, M. Hintermüller, M. Neri, An Efficient Primal-Dual Method for L1-TV Image Restoration., SIAM J. Imaging Science, Vol. 2, Issue 4, pp. 1168-1189 (2009) [bib]
  • M. Hintermüller, K. Kunisch, PDE-Constrained Optimization Subject to Pointwise Constraints on the Control, the State and its Derivative, SIAM J. Optim., Vol. 20, Issue 3, pp. 1133-1156 (2009) [bib]
  • M. Hintermüller, V. Kovtunenko, K. Kunisch, A Papkovich-Neuber-based approach to cracks with contact in 3D, IMA J. Appl. Math. 74 (2009), pp. 325-343 [bib]
  • M. Hintermüller, I. Kopacka, Mathematical Programs with Complementarity Constraints in Function Space: C- and Strong Stationarity and a Path-Following Algorithm, SIAM J. Optim. Volume 20, Issue 2, pp. 868-902 (2009) [bib]
  • Y. Dong, M. Hintermüller, Multi-Scale Vectorial Total Variation with Automated Regularization Parameter Selection for Color Image Restoration, Springer Lecture Notes in Computer Science, no. 5567 (2009), pp.271-281 [bib]
  • M. Hintermüller, A.Laurain, Multiphase Image Segmentation and Modulation Recovery Based on Shape and Topological Sensitivity, Journal of Mathematical Imaging and Vision, 35 (2009) 1, pp. 1-22 [bib]
  • M. Hintermüller, I. Kopacka, S. Volkwein, Mesh-independence and preconditioning for solving parabolic control problems with mixed control-state constraints, ESAIM: COCV 15 3 (2009), 626-652, DOI: 10.1051/cocv:2008042 [bib]
  • M. Hintermüller, R.H.W. Hoppe, Adaptive finite element methods for control constrained distributed and boundary optimal control problems. Numerical PDE Constrained Optimization., Series: Lecture Notes in Computational Science and Engineering , Vol. 72 Heinkenschloss, Matthias; Vicente, Luis Nunes; Fernandes, Luis Merca (Eds.) 2009, Softcover ISBN: 978-3-540-77328-3 [bib]
  • M. Hintermüller, K. Kunisch, Stationary optimal control problems with pointwise state constraints. Numerical PDE Constrained Optimization., Series: Lecture Notes in Computational Science and Engineering , Vol. 72 Heinkenschloss, Matthias; Vicente, Luis Nunes; Fernandes, Luis Merca (Eds.) 2009, Softcover ISBN: 978-3-540-77328-3 [bib]
  • M. Hintermüller, A. Laurain, Electrical Impedance Tomography: From Topology to Shape., Control and Cybernetics, Vol. 37, No. 4 (2008) [bib]
  • M. Hintermüller, An active-set equality constrained Newton solver with feasibility restoration for inverse coefficient problems in elliptic variational inequalities, Inverse Problems 24 (2008), no. 3, 034017 [bib]
  • M. Hintermüller, R.H.W. Hoppe, Goal-oriented adaptivity in control constrained optimal control of partial differential equations, SIAM Journal on Control and Optimization, 47 (2008), pp. 1721-1743 [bib]
  • M. Hintermüller, F. Tröltzsch, I. Yousept, Mesh-independence of semismooth Newton methods for Lavrentiev-regularized state constrained nonlinear optimal control problems, Numerische Mathematik, 108 (2008), no. 4, pp. 571-603 [bib]
  • M. Hintermüller, R.H.W. Hoppe, Y. Iliash, M. Kieweg, An a posteriori error analysis of adaptive finite element methods for distributed elliptic control problems with control constraints, ESAIM: Control, Optimisation and Calculus of Variations (COCV), 14 3 (2008), pp. 540-560 [bib]
  • M. Hintermüller, A. Laurain, Where to create a hole?, European Consortium for Mathematics in Industry, ECMI Newsletter 41, 2007 [bib]
  • M. Hintermüller, S. Volkwein, F. Diwoky, Fast solution techniques in constrained optimal boundary control of the semilinear heat equation, Internat. Ser. Numer. Math., 155, Birkhäuser, Basel, 2007, pp. 119-147 [bib]
  • M. Hintermüller, Mesh-independence and fast local convergence of a primal-dual active-set method for mixed control-state constrained elliptic control problems, ANZIAM Journal, 49 (2007), no. 1, pp. 1-38 [bib]
  • M. Hintermüller, V. Kovtunenko, K. Kunisch, Constrained optimization for interface cracks in composite materials subject to non-penetration conditions, Engineering Mathematics, 59 (2007), no. 3, pp. 301-321 [bib]
  • M. Hintermüller, A combined shape Newton and topology optimization technique in real time image segmentation, Real-Time PDE-Constrained Optimization, Comput. Sci. Eng., 3, SIAM, Philadelphia, PA, 2007, pp. 253 - 274 [bib]
  • M. Hintermüller, K. Kunisch, Feasible and non-interior path-following in constrained minimization with low multiplier regularity, SIAM J. Control and Optimization 45 (2006) 4, pp. 1198-1221 [bib]
  • M. Hintermüller, K. Kunisch, Path-following methods for a class of constrained minimization problems in function space, SIAM J. Optimization, 17 (2006) 1, pp. 159-187 [bib]
  • M. Hintermüller, V. Kovtunenko, K. Kunisch, An optimization approach for the delamination of a composite material with non-penetration, In Free and Moving Boundaries: Analysis, Simulation and Control, eds. R. Glowinski and J.-P. Zolesio, Lecture Notes in Pure and Applied Mathematics, no. 252, Taylor & Francis CRC Press, London, 2006. [bib]
  • M. Hintermüller, G. Stadler, A primal-dual algorithm for TV-based inf-convolution-type image restoration, SIAM J. Scientific Computing, 28 (2006) 1, pp. 1-23 [bib]
  • M. Hintermüller, M. Hinze, A SQP-semismooth Newton-type algorithm applied to control of the instationary Navier-Stokes system sub ject to control constraints, SIAM J. Optimization, 16 (2006) 4, pp. 1177-2000 [bib]
  • M. Hintermüller, R. Griesse, M. Hinze, Differential stability of optimal control problems for the Navier Stokes equations, Numerical Functional Analysis and Optimization, 26 (2005) 7-8, pp. 829-850 [bib]
  • M. Hintermüller, M. Burger, Projected gradient flows for BV/Level set relaxation, Proc. Appl. Math. Mech., 5 (2005), pp. 11-14 [bib]
  • M. Hintermüller, Fast level-set based algorithms using shape and topological sensitivity information, Control and Cybernetics, 34 (2005) 1, pp. 305-324 [bib]
  • M. Hintermüller, V. Kovtunenko, K. Kunisch, Generalized Newton methods for crack problems with non-penetration condition, Numerical Methods for Partial Differential Equations, 21 (2005) 3, pp. 586-610 [bib]
  • M. Hintermüller, L.N. Vicente, Space mapping for optimal control of partial differential equations, SIAM J. Optimization, 15 (2005), pp. 1002-1025 [bib]
  • M. Hintermüller, K. Kunisch, Totally bounded variation regularization as bilaterally constrained optimization problem, SIAM J. Applied Mathematics, 64 (2004), pp.1311-1333 [bib]
  • M. Hintermüller, V. Kovtunenko, K. Kunisch, Semismooth Newton methods for a class of unilaterally constrained variational problems, Advances in Mathematical Sciences and Applications, 14 (2004) 2, pp. 513-535 [bib]
  • M. Hintermüller, M. Ulbrich, A mesh independence result for semismooth Newton methods, Mathematical Programming, 101 (2004) 1, pp. 151-184 [bib]
  • M. Hintermüller, K. Kunisch, Y. Spasov, S. Volkwein, Dynamical system based optimal control of incompressible fluids, International Journal for Numerical Methods in Fluids, 46 (2004), pp. 345-359 [bib]
  • M. Hintermüller, V. Kovtunenko, K. Kunisch, The primal-dual active set method for a crack problem with non-penetration, IMA J. on Applied Mathematics, 69 (2004), pp. 1-26 [bib]
  • M. Hintermüller, W. Ring, An inexact Newton-CG-type active contour approach for the minimization of the Mumford-Shah functional, Journal of Mathematical Imaging and Vision, 20 (2004), pp. 19-42 [bib]
  • M. Hintermüller, W. Ring, A level set approach for the solution of a state-constrained optimal control problem, Numerische Mathematik 98 (2004) 1, pp. 135-166 [bib]
  • M. Hintermüller, G. Stadler, A semi-smooth Newton method for constrained linear-quadratic control problems, ZAMM, 83 (2003)4, pp. 219-237 [bib]
  • M. Hintermüller, W. Ring, Numerical aspects for a level set based algorithm for state constrained optimal control problems, CAMES-Computer Assisted Mechanics and Engineering Sciences, 10 (2003)2, pp. 149-161 [bib]
  • M. Hintermüller, W. Ring, A second order shape optimization approach for image segmentation, SIAM J. on Applied Mathematics, 64 (2003)2, pp. 442-467 [bib]
  • M. Hintermüller, W. Hinterberger, K. Kunisch, M. von Oehsen, O. Scherzer, Tube methods for BV regularization, Journal of Mathematical Imaging and Vision, 19 (2003)3, pp.219-235 [bib]
  • M. Hintermüller, K. Ito, K. Kunisch, The primal-dual active set strategy as a semi-smooth Newton method, SIAM J. Optimization, 13 (2003) 3, pp. 865-888 [bib]
  • M. Hintermüller, A primal-dual active set algorithm for bilaterally control constrained optimal control problems, Quarterly of Applied Mathematics, LXI 1 (2003), pp. 131-161 [bib]
  • M. Hintermüller, M. Hinze, Globalization of SQP-methods in control of the instationary Navier-Stokes equations, M2AN - Mathematical Modelling and Numerical Analysis, 36 (2002), pp. 725-746 [bib]
  • M. Hintermüller, Solving nonlinear programming problems with noisy function values and gradients, JOTA, 114 (2002)1, pp. 133-169 [bib]
  • M. Hintermüller, K. Kunisch, Inverse problems for elastohydrodynamic models, ZAMM, 81 (2001) Suppl.1, pp. S17-S20 [bib]
  • M. Hintermüller, On a globalized augmented Lagrangian SQP-algorithm for nonlinear optimal control problems with box constraints, in: Fast solution methods for discretized optimization problems. K.-H. Hoffmann, R.H.W. Hoppe, V. Schulz (eds.), International Series of Numerical Mathematics 138, Birkhäuser publishers, Basel, 2001, pp. 139-153 [bib]
  • M. Hintermüller, P. Bachhiesl, H. Hutten, F. Kappel, H. Scharfetter, Efficient computation of optimal controls for the exchange process during the dialysis therapy, Computational Optimization and Applications, 18 (2001),pp.161-175 [bib]
  • M. Hintermüller, A proximal bundle method based on approximate subgradients, Computational Optimization and Applications, 20 (2001), pp. 245-266. [bib]
  • M. Hintermüller, Inverse coefficient problems for variational inequalities: optimality conditions and numerical realization, Mathematical Modelling and Numerical Analysis (M2AN), 35 (2001), pp. 129-152 [bib]
  • M. Hintermüller, K. Stüwe, Topology and isotherms revisited: the influence of laterally migrating drainage divides, Earth and Planetary Science Letters, 184 (2000), pp. 287-303 [bib]
  • M. Hintermüller, M. Bergounioux, M. Haddou, K. Kunisch, A comparison of a Moreau-Yosida based active set strategy and interior point methods for constrained optimal control problems, SIAM Journal on Optimization, 11 (2000), pp. 495-521. [bib]
  • M. Hintermüller, An algorithm for solving nonlinear programs with noisy inequality constraints, Nonlinear Optimization and Related Topics, Kluwer, 1999, pp. 143-168. [bib]
  • M. Hintermüller, Algorithms for Solving Nonlinear Programming Problems with Noisy Data, University publisher R. Trauner, Series C - Technology and Science, No. 23, 1998, 224 pp. [bib]