A Comparison of a Moreau-Yosida-Based Active Set Strategy and Interior Point Methods for Constrained Optimal Control Problems. - Maïtine Bergounioux; Mounir Haddou; Michael Hintermüller; Karl Kunisch (SIAM J. Optim., 2000)

Efficient Computation of Optimal Controls for the Exchange Processes During the Dialysis Therapy. - Peter Bachhiesl; Hermann Scharfetter; Hans Hutten; Franz Kappel; Michael Hintermüller (Comput. Optim. Appl., 2001)

A Proximal Bundle Method Based on Approximate Subgradients. - Michael Hintermüller (Comput. Optim. Appl., 2001)

The Primal-Dual Active Set Strategy as a Semismooth Newton Method. - Michael Hintermüller; Kazufumi Ito; Karl Kunisch (SIAM J. Optim., 2002)

Tube Methods for BV Regularization. - Walter Hinterberger; Michael Hintermüller; Karl Kunisch; Markus von Oehsen; Otmar Scherzer (J. Math. Imaging Vis., 2003)

An Inexact Newton-CG-Type Active Contour Approach for the Minimization of the Mumford-Shah Functional. - Michael Hintermüller; Wolfgang Ring (J. Math. Imaging Vis., 2004)

A mesh-independence result for semismooth Newton methods. - Michael Hintermüller; Michael Ulbrich (Math. Program., 2004)

A level set approach for the solution of a state-constrained optimal control problem. - Michael Hintermüller; Wolfgang Ring (Numerische Mathematik, 2004)

A Second Order Shape Optimization Approach for Image Segmentation. - Michael Hintermüller; Wolfgang Ring (SIAM J. Appl. Math., 2004)

Total Bounded Variation Regularization as a Bilaterally Constrained Optimization Problem. - Karl Kunisch; Michael Hintermüller (SIAM J. Appl. Math., 2004)

Space Mapping for Optimal Control of Partial Differential Equations. - Michael Hintermüller; Luís Nunes Vicente (SIAM J. Optim., 2005)

Feasible and Noninterior Path-Following in Constrained Minimization with Low Multiplier Regularity. - Michael Hintermüller; Karl Kunisch (SIAM J. Control. Optim., 2006)

A SQP-Semismooth Newton-type Algorithm applied to Control of the instationary Navier–Stokes System Subject to Control Constraints. - Michael Hintermüller; Michael Hinze (SIAM J. Optim., 2006)

Path-following Methods for a Class of Constrained Minimization Problems in Function Space. - Michael Hintermüller; Karl Kunisch (SIAM J. Optim., 2006)

An Infeasible Primal-Dual Algorithm for Total Bounded Variation-Based Inf-Convolution-Type Image Restoration. - Michael Hintermüller; Georg Stadler (SIAM J. Sci. Comput., 2006)

Mesh-independence of semismooth Newton methods for Lavrentiev-regularized state constrained nonlinear optimal control problems. - Michael Hintermüller; Fredi Tröltzsch; Irwin Yousept (Numerische Mathematik, 2008)

Goal-Oriented Adaptivity in Control Constrained Optimal Control of Partial Differential Equations. - Michael Hintermüller; Ronald H. W. Hoppe (SIAM J. Control. Optim., 2008)

Multi-scale Total Variation with Automated Regularization Parameter Selection for Color Image Restoration. - Yiqiu Dong; Michael Hintermüller (SSVM, 2009)

Multiphase Image Segmentation and Modulation Recovery Based on Shape and Topological Sensitivity. - Michael Hintermüller; Antoine Laurain (J. Math. Imaging Vis., 2009)

An Efficient Primal-Dual Method for L1TV Image Restoration. - Yiqiu Dong; Michael Hintermüller; Marrick Neri (SIAM J. Imaging Sci., 2009)

Mathematical Programs with Complementarity Constraints in Function Space: C- and Strong Stationarity and a Path-Following Algorithm. - Michael Hintermüller; I. Kopacka (SIAM J. Optim., 2009)

PDE-Constrained Optimization Subject to Pointwise Constraints on the Control, the State, and Its Derivative. - Michael Hintermüller; Karl Kunisch (SIAM J. Optim., 2009)

Moreau-Yosida Regularization in State Constrained Elliptic Control Problems: Error Estimates and Parameter Adjustment. - Michael Hintermüller; Michael Hinze (SIAM J. Numer. Anal., 2009)

A shape and topology optimization technique for solving a class of linear complementarity problems in function space. - Michael Hintermüller; Antoine Laurain (Comput. Optim. Appl., 2010)

Goal-Oriented Adaptivity in Pointwise State Constrained Optimal Control of Partial Differential Equations. - Michael Hintermüller; Ronald H. W. Hoppe (SIAM J. Control. Optim., 2010)

An Inverse Problem in American Options as a Mathematical Program with Equilibrium Constraints: C-Stationarity and an Active-Set-Newton Solver. - Michael Hintermüller; Moulay Hicham Tber (SIAM J. Control. Optim., 2010)

An Efficient Two-Phase L1-TV Method for Restoring Blurred Images with Impulse Noise. - Raymond H. Chan; Yiqiu Dong; Michael Hintermüller (IEEE Trans. Image Process., 2010)

A Smoothing Descent Method for Nonconvex TV $$^q$$ -Models. - Michael Hintermüller; Tao Wu 006 (Efficient Algorithms for Global Optimization Methods in Computer Vision, 2011)

A total variation based approach to correcting surface coil magnetic resonance images. - Stephen L. Keeling; Michael Hintermüller; Florian Knoll; Daniel Kraft; Antoine Laurain (Appl. Math. Comput., 2011)

A smooth penalty approach and a nonlinear multigrid algorithm for elliptic MPECs. - Michael Hintermüller; I. Kopacka (Comput. Optim. Appl., 2011)

A Multi-Scale Vectorial Lτ-TV Framework for Color Image Restoration. - Yiqiu Dong; Michael Hintermüller; M. Monserrat Rincon-Camacho (Int. J. Comput. Vis., 2011)

Automated Regularization Parameter Selection in Multi-Scale Total Variation Models for Image Restoration. - Yiqiu Dong; Michael Hintermüller; M. Monserrat Rincon-Camacho (J. Math. Imaging Vis., 2011)

Special issue on advances in shape and topology optimization: theory, numerics and new applications areas. - Charlie Elliott; Michael Hintermüller; Günter Leugering; Jan Sokolowski (Optim. Methods Softw., 2011)

An adaptive finite-element Moreau-Yosida-based solver for a non-smooth Cahn-Hilliard problem. - Michael Hintermüller; Michael Hinze; Moulay Hicham Tber (Optim. Methods Softw., 2011)

From shape variation to topological changes in constrained minimization: a velocity method-based concept. - Michael Hintermüller; Victor A. Kovtunenko (Optim. Methods Softw., 2011)

Optimal Shape Design Subject to Elliptic Variational Inequalities. - Michael Hintermüller; Antoine Laurain (SIAM J. Control. Optim., 2011)

Obstacle Problems with Cohesion: A Hemivariational Inequality Approach and Its Efficient Numerical Solution. - Michael Hintermüller; Victor A. Kovtunenko; Karl Kunisch (SIAM J. Optim., 2011)

First-Order Optimality Conditions for Elliptic Mathematical Programs with Equilibrium Constraints via Variational Analysis. - Michael Hintermüller; Thomas M. Surowiec (SIAM J. Optim., 2011)

Second-order topological expansion for electrical impedance tomography. - Michael Hintermüller; Antoine Laurain; Antonio André Novotny (Adv. Comput. Math., 2012)

An image space approach to Cartesian based parallel MR imaging with total variation regularization. - Stephen L. Keeling; Christian Clason; Michael Hintermüller; Florian Knoll; Antoine Laurain; Gregory von Winckel (Medical Image Anal., 2012)

Special issue of the ISMP 2012 in Berlin. - Michael Hintermüller; Martin Skutella (Math. Program., 2012)

Distributed Optimal Control of the Cahn-Hilliard System Including the Case of a Double-Obstacle Homogeneous Free Energy Density. - Michael Hintermüller; Donat Wegner (SIAM J. Control. Optim., 2012)

A Sequential Minimization Technique for Elliptic Quasi-variational Inequalities with Gradient Constraints. - Michael Hintermüller; Carlos N. Rautenberg (SIAM J. Optim., 2012)

Spatially dependent regularization parameter selection in total generalized variation models for image restoration. - Kristian Bredies; Yiqiu Dong; Michael Hintermüller (Int. J. Comput. Math., 2013)

An adaptive finite element Moreau-Yosida-based solver for a coupled Cahn-Hilliard/Navier-Stokes system. - Michael Hintermüller; Michael Hinze; Christian Kahle (J. Comput. Phys., 2013)

Guest Editorial: Variational Models, Convex Analysis and Numerical Optimization in Mathematical Imaging. - Antonin Chambolle; Michael Hintermüller; Thomas Pock; Christoph Schnörr; Gabriele Steidl (J. Math. Imaging Vis., 2013)

Optimal Bilinear Control of Gross-Pitaevskii Equations. - Michael Hintermüller; Daniel Marahrens; Peter A. Markowich; Christof Sparber (SIAM J. Control. Optim., 2013)

Subspace Correction Methods for a Class of Nonsmooth and Nonadditive Convex Variational Problems with Mixed L1/L2 Data-Fidelity in Image Processing. - Michael Hintermüller; Andreas Langer (SIAM J. Imaging Sci., 2013)

Nonconvex TVq-Models in Image Restoration: Analysis and a Trust-Region Regularization-Based Superlinearly Convergent Solver. - Michael Hintermüller; Tao Wu 006 (SIAM J. Imaging Sci., 2013)

Parabolic Quasi-variational Inequalities with Gradient-Type Constraints. - Michael Hintermüller; Carlos N. Rautenberg (SIAM J. Optim., 2013)

A superlinearly convergent R-regularized Newton scheme for variational models with concave sparsity-promoting priors. - Michael Hintermüller; Tao Wu 006 (Comput. Optim. Appl., 2014)

Several approaches for the derivation of stationarity conditions for elliptic MPECs with upper-level control constraints. - Michael Hintermüller; Boris S. Mordukhovich; Thomas M. Surowiec (Math. Program., 2014)

Optimal Control of a Semidiscrete Cahn-Hilliard-Navier-Stokes System. - Michael Hintermüller; Donat Wegner (SIAM J. Control. Optim., 2014)

The Length of the Primal-Dual Path in Moreau-Yosida-Based Path-Following Methods for State Constrained Optimal Control. - Michael Hintermüller; Anton Schiela; Winnifried Wollner (SIAM J. Optim., 2014)

Several path-following methods for a class of gradient constrained variational inequalities. - Michael Hintermüller; J. Rasch (Comput. Math. Appl., 2015)

Robust Principal Component Pursuit via Inexact Alternating Minimization on Matrix Manifolds. - Michael Hintermüller; Tao Wu 006 (J. Math. Imaging Vis., 2015)

Non-Overlapping Domain Decomposition Methods For Dual Total Variation Based Image Denoising. - Michael Hintermüller; Andreas Langer (J. Sci. Comput., 2015)

Limiting Aspects of Nonconvex TVφ Models. - Michael Hintermüller; Tuomo Valkonen; Tao Wu 006 (SIAM J. Imaging Sci., 2015)

Generalized Nash Equilibrium Problems in Banach Spaces: Theory, Nikaido-Isoda-Based Path-Following Methods, and Applications. - Michael Hintermüller; Thomas M. Surowiec; A. Kämmler (SIAM J. Optim., 2015)

Distortion compensation as a shape optimisation problem for a sharp interface model. - Kevin Sturm; Michael Hintermüller; Dietmar Hömberg (Comput. Optim. Appl., 2016)

A duality-based path-following semismooth Newton method for elasto-plastic contact problems. - Michael Hintermüller; Simon Rösel (J. Comput. Appl. Math., 2016)

A bundle-free implicit programming approach for a class of elliptic MPECs in function space. - Michael Hintermüller; Thomas M. Surowiec (Math. Program., 2016)

Optimal Selection of the Regularization Function in a Weighted Total Variation Model. Part I: Modelling and Theory. - Michael Hintermüller; Carlos N. Rautenberg (J. Math. Imaging Vis., 2017)

Optimal Selection of the Regularization Function in a Weighted Total Variation Model. Part II: Algorithm, Its Analysis and Numerical Tests. - Michael Hintermüller; Carlos N. Rautenberg; Tao Wu 006; Andreas Langer (J. Math. Imaging Vis., 2017)

Optimal Control of a Semidiscrete Cahn-Hilliard-Navier-Stokes System with Nonmatched Fluid Densities. - Michael Hintermüller; Tobias Keil; Donat Wegner (SIAM J. Control. Optim., 2017)

Optimal Sensor Placement: A Robust Approach. - Michael Hintermüller; Carlos N. Rautenberg; Masoumeh Mohammadi; Martin Kanitsar (SIAM J. Control. Optim., 2017)

Guest Editorial JMIV Special Issue Mathematics and Image Analysis (MIA). - Jean-François Aujol; Jalal Fadili; Michael Hintermüller; Gabriel Peyré; Gerlind Plonka-Hoch; Gabriele Steidl (J. Math. Imaging Vis., 2019)

Optimization of a Multiphysics Problem in Semiconductor Laser Design. - Lukás Adam; Michael Hintermüller; Dirk Peschka; Thomas M. Surowiec (SIAM J. Appl. Math., 2019)

Quantitative Magnetic Resonance Imaging: From Fingerprinting to Integrated Physics-Based Models. - Guozhi Dong; Michael Hintermüller; Kostas Papafitsoros (SIAM J. Imaging Sci., 2019)

A posteriori error control for distributed elliptic optimal control problems with control constraints discretized by hp-finite elements. - Lothar Banz; Michael Hintermüller; Andreas Schröder 001 (Comput. Math. Appl., 2020)

Optimization with learning-informed differential equation constraints and its applications. - Guozhi Dong; Michael Hintermüller; Kostas Papafitsoros (CoRR, 2020)

Identification of the friction function in a semilinear system for gas transport through a network. - Michael Hintermüller; Nikolai Strogies (Optim. Methods Softw., 2020)

Stability of the Solution Set of Quasi-variational Inequalities and Optimal Control. - Amal Alphonse; Michael Hintermüller; Carlos N. Rautenberg (SIAM J. Control. Optim., 2020)

Uncertainty Quantification in Image Segmentation Using the Ambrosio-Tortorelli Approximation of the Mumford-Shah Energy. - Michael Hintermüller; Steven-Marian Stengl; Thomas M. Surowiec (J. Math. Imaging Vis., 2021)

A Class of Second-Order Geometric Quasilinear Hyperbolic PDEs and Their Application in Imaging. - Guozhi Dong; Michael Hintermueller; Ye Zhang (SIAM J. Imaging Sci., 2021)

MaRDI Building Research Data Infrastructures for Mathematics and the Mathematical Sciences. - Renita Danabalan; Michael Hintermüller; Thomas Koprucki; Karsten Tabelow (CoRDI, 2023)

Risk-neutral PDE-constrained generalized Nash equilibrium problems. - Deborah B. Gahururu; Michael Hintermüller; Thomas M. Surowiec (Math. Program., 2023)

A Globalized Inexact Semismooth Newton Method for Nonsmooth Fixed-point Equations involving Variational Inequalities. - Amal Alphonse; Constantin Christof; Michael Hintermüller; Ioannis P. A. Papadopoulos (CoRR, 2024)

A neural network approach to learning solutions of a class of elliptic variational inequalities. - Amal Alphonse; Michael Hintermüller; Alexander Kister; Chin Hang Lun; Clemens Sirotenko (CoRR, 2024)

A Descent Algorithm for the Optimal Control of ReLU Neural Network Informed PDEs Based on Approximate Directional Derivatives. - Guozhi Dong; Michael Hintermüller; Kostas Papafitsoros (SIAM J. Optim., 2024)

On a Differential Generalized Nash Equilibrium Problem with Mean Field Interaction. - Michael Hintermüller; Thomas M. Surowiec; Mike Theiß (SIAM J. Optim., 2024)

A Generalized Γ-Convergence Concept for a Class of Equilibrium Problems. - Michael Hintermüller; Steven-Marian Stengl (J. Nonlinear Sci., 2024)

hp-finite elements for elliptic optimal control problems with control constraints. - Lothar Banz; Michael Hintermüller; Andreas Schröder 001 (Comput. Math. Appl., 2025)

Hybrid machine learning based scale bridging framework for permeability prediction of fibrous structures. - Denis Korolev; Tim Schmidt; Dinesh K. Natarajan; Stefano Cassola; David May 007; Miro Duhovic; Michael Hintermüller (CoRR, 2025)