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Preprints/Papers:

(Preprints are available on request. Interested? Please contact johannes.scherling"at"uni-graz.at ("at"=@))

  • M. Hintermüller and C. N. Rautenberg, On the Uniqueness and Approximation of Solutions to Certain Parabolic Quasi-variational Inequalities. IFB-Report No. 75 (12/2013), Institute of Mathematics and Scientific Computing, University of Graz.

  • J. A. Burns and C. N. Rautenberg, The Infinite Dimensional Optimal Filtering Problem With Mobile and Stationary Sensor Networks. IFB-Report No. 74 (12/2013), Institute of Mathematics and Scientific Computing, University of Graz.

  • J. A. Burns and C. N. Rautenberg, Solutions and Approximations to the Riccati Integral Equation with Values in a Space of Compact Operators. IFB-Report No. 73 (12/2013), Institute of Mathematics and Scientific Computing, University of Graz.

  • M. Hintermüller and A. Langer, Non-overlapping Domain Decomposition Methods for Dual Total Variation Based Image Denoising. IFB-Report No. 72 (10/2013), Institute of Mathematics and Scientific Computing, University of Graz.

  • M. Hintermüller and C. N. Rautenberg, On the Density of Classes of Closed, Convex Sets in Sobolev Spaces Arising from Pointwise Constraints on Function Values, the Gradient or the Divergence. IFB-Report No. 71 (09/2013), Institute of Mathematics and Scientific Computing, University of Graz.

  • M. Hintermüller and S. Rösel, A Duality-based Path-following Semismooth Newton Method for Elasto-Plastic Contact Problems. IFB-Report No. 70 (09/2013), Institute of Mathematics and Scientific Computing, University of Graz.

  • M. Hintermüller and T. Wu, Robust Principal Component Pursuit via Alternating Minimization on Matrix Manifolds. IFB-Report No. 69 (09/2013), Institute of Mathematics and Scientific Computing, University of Graz.

  • A. Gaevskaya, M. Hintermüller and R.H.W. Hoppe, Adaptive Finite Elements for Optimally Controlled Elliptic Variational Inequalities of Obstacle Type. IFB-Report No. 68 (09/2013), Institute of Mathematics and Scientific Computing, University of Graz. Download pdf-file.

  • C. Brett, C. M. Elliott, M. Hintermüller and C. Löbhard, Mesh Adaptivity in Optimal Control of Elliptic Variational Inequalities with Point-tracking of the State. IFB-Report No. 67 (09/2013), Institute of Mathematics and Scientific Computing, University of Graz.

  • M. Hintermüller, C. N. Rautenberg and J. Hahn, Functional-Analytic and Numerical Issues in Splitting Methods for Total Variation-based Image Reconstruction. IFB-Report No. 66 (07/2013), Institute of Mathematics and Scientific Computing, University of Graz. Download pdf-file.

  • M. Hintermüller and T. Wu, A Superlinearly Convergent R-regularized Newton Scheme for Variational Models with Concave Sparsity-Promoting Priors. IFB-Report No. 65 (12/2012), Institute of Mathematics and Scientific Computing, University of Graz. Published in: Computational Optimization and Applications, Volume 57 (2014), pp. 1-25. [link] [pdf]

  • M. Hintermüller and A. Langer, Surrogate Functional Based Subspace Correction Methods for Image Processing. IFB-Report No. 64 (12/2012), Institute of Mathematics and Scientific Computing, University of Graz. Accepted for publication in: Proceedings of the 21st International Conference on Domain Decomposition Methods.

  • M. Hintermüller, R.H.W. Hoppe and C. Löbhard, A dual-weighted residual approach to goal-oriented adaptivity for optimal control of elliptic variational inequalities. IFB-Report No. 63 (11/2012), Institute of Mathematics and Scientific Computing, University of Graz. To appear in: ESAIM: Control, Optimisation and Calculus of Variations.

  • M. Burger, Y. Dong and M. Hintermüller, Exact relaxation for classes of minimization problems with binary constraints. IFB-Report No. 62 (11/2012), Institute of Mathematics and Scientific Computing, University of Graz.

  • M. Hintermüller and A. Langer, Subspace correction methods for a class of non-smooth and non-additive convex variational problems in image processing. IFB-Report No. 61 (10/2012), Institute of Mathematics and Scientific Computing, University of Graz. Published in: SIAM Journal on Imaging Sciences, Volume 6, No. 4 (2013), pp. 2134-2173. [link]

  • M. Hintermüller and T. Surowiec, A Bundle-Free Implicit Programming Approach for a Class of MPECs in Function Space. IFB-Report No. 60 (09/2012), Institute of Mathematics and Scientific Computing, University of Graz.

  • M. Hintermüller and C.N. Rautenberg, Parabolic Quasi-Variational Inequalities with Gradient-type Constraints. IFB-Report No. 59 (04/2012), Institute of Mathematics and Scientific Computing, University of Graz. Published in: SIAM Journal of Optimization, Volume 23, Issue 4 (2013), pp. 2090 - 2123.

  • K. Bredies, Y. Dong and M. Hintermüller, Spatially dependent regularization parameter selection in total generalized veriation models for image restoration. IFB-Report No. 58 (02/2012), Institute of Mathematics and Scientific Computing, University of Graz. Published in: Journal of Computer Mathematics. DOI:10.1080/00207160.2012.700400. Download pdf-file.

  • M. Hintermüller, A. Schiela and W. Wollner, The length of the primal-dual path in Moreau-Yosida-based path-following for state constrained optimal control. IFB-Report No. 57 (03/2012), Institute of Mathematics and Scientific Computing, University of Graz. To appear in: SIAM Journal on Optimization. Download pdf-file.

  • M. Hintermüller and T. Surowiec, A PDE-Constrained Generalized Nash Equilibrium Problem with Pointwise Control and State Constraints. IFB-Report No. 56 (03/2012), Institute of Mathematics and Scientific Computing, University of Graz. Accepted for publication in: Pacific Journal on Optimization. Download pdf-file.

  • M. Hintermüller and T. Wu, A Smoothing Descent Method for Nonconvex TVq-Models. IFB-Report No. 55 (03/2012), Institute of Mathematics and Scientific Computing, University of Graz. To appear in: Lecture Notes in Computer Science, Springer. Download pdf-file .

  • M. Hintermüller, D. Marahrens, P.A. Markowich, and Ch. Sparber, Optimal bilinear control of Gross-Pitaevskii equations. IFB-Report No. 54 (02/2012), Institute of Mathematics and Scientific Computing, University of Graz. To be published in: SIAM Journal of Control and Optimization. More information here.

  • M. Hintermüller and D. Wegner, Optimal control of a semi-discrete Cahn-Hilliard-Navier-Stokes system. IFB-Report No. 53 (01/2012), Institute of Mathematics and Scientific Computing, University of Graz. To appear in: SIAM Journal on Control and Optimization. Download pdf-file.

  • M. Hintermüller and T. Wu, Nonconvex TVq-Models in Image Restoration: Analysis and a Trust-Region Regularization--Based Superlinearly Convergent Solver. IFB-Report No. 52 (11/2011), Institute of Mathematics and Scientific Computing, University of Graz. Published in: SIAM Journal on Imaging Science, Volume 6 (2013), pp. 1385-1415. [link]

  • M. Hintermüller, M. Hinze and C. Kahle, An adaptive finite element Moreau-Yosida-based solver for a coupled Cahn-Hilliard/Navier-Stokes system. IFB-Report No. 51 (10/2011), Institute of Mathematics and Scientific Computing, University of Graz. Published in: Journal of Computational Physics. DOI: 10.1016/j.jcp.2012.10.010.

  • M. Hintermüller and A. Schiela, On the Length of the Primal-Dual Path in Moreau-Yosida-based Path-following for State Constrained Optimal Control: Analysis and Numerics. IFB-Report No. 50 (09/2011), Institute of Mathematics and Scientific Computing, University of Graz. Download pdf-file.

  • M. Freiberger, M. Hintermüller, A. Laurain, and H. Scharfetter, Topological Sensitivity Analysis in Fluorescence Optical Tomography. IFB-Report No. 49 (09/2011), Institute of Mathematics and Scientific Computing, University of Graz. Accepted for publication in: Inverse Problems.

  • C. Conca, A. Laurain, and R. Mahadevan, Minimization of the Ground State for Two Phase Conductors in Low Contrast Regime. IFB-Report No. 48 (09/2011), Institute of Mathematics and Scientific Computing, University of Graz.

  • M. Hintermüller and J. Outrata, A Note on Optimality Conditions in Control of Elliptic Variational Inequalities. IFB-Report No. 47 (09/2011), Institute of Mathematics and Scientific Computing, University of Graz.

  • C. Elliott, M. Hintermüller, G. Leugering, and J. Sokolowski, eds., Special Issue on "Advances on Shape and Topology Optimization. Theory, Numerics and New Applications". Optimization Methods and Software, Issue 4-5, 2011, pp. 511-894.

  • M. Hintermüller, B.S. Mordukhovich, and T. Surowiec, Several Approaches for the Derivation of Stationarity Conditions for Elliptic MPECs with Upper-Level Control Constraints (revised). IFB-Report No. 46 (07/2011), Institute of Mathematics and Scientific Computing, University of Graz. To appear in: Mathematical Programming.

  • M. Hintermüller and C.N. Rautenberg, A Sequential Minimization Technique for Elliptic Quasi-Variational Inequalities with Gradient Constraints. IFB-Report No. 45 (06/2011), Institute of Mathematics and Scientific Computing, University of Graz. Published in: SIAM Journal of Optimization, Volume 22, Issue 4 (2012), pp. 1224–1257. Download pdf-file.

  • M. Hintermüller, C.Y. Kao and A. Laurain, Principal Eigenvalue Minimization for an Elliptic Problem with Indefinite Weight and Robin Boundary Conditions. IFB-Report No. 44 (02/2011), Institute of Mathematics and Scientific Computing, University of Graz. Published in: Applied Mathematics and Optimization. DOI: 10.1007/s00245-011-9153-x.

  • M. Hintermüller and D. Wegner, Distributed optimal control of the Cahn-Hilliard system including the case of a double-obstacle homogeneous free energy density. IFB-Report No. 43 (02/2011), Institute of Mathematics and Scientific Computing, University of Graz. Published in: SIAM J. Control and Optimization, Volume 50, Issue 1, pp. 388-418. Download pdf-file.

  • A. Laurain and Y. Privat , On a Bernoulli problem with geometric constraints. IFB-Report No. 42 (10/2010), Institute of Mathematics and Scientific Computing, University of Graz. Accepted for publication in ESAIM: Control, Optimisation and Calculus of Variations (2010).

  • M. Hintermüller and V.A. Kovtunenko, From Shape Variation to Topology Changes in Constrained Minimization: A Velocity Method Based Concept. Optimization Methods and Software, Volume 26, Issue 4-5, 2011, pp. 513-532.

  • M. Hintermüller, M. Hinze, and R. H. W. Hoppe , Weak-Duality Based Adaptive Finite Element Methods for PDE-Constrained Optimization with Pointwise Gradient State-Constraints. IFB-Report No. 40 (08/2010), Institute of Mathematics and Scientific Computing, University of Graz. Published in: Journal of Computational Mathematics, Volume 30, Issue 2 (2012), pp. 101-123.

  • M. Hintermüller, S.L. Keeling, F. Knoll, D. Kraft, and A. Laurain , A Total Variation Based Approach to Correcting Surface Coil Magnetic Resonance Images. SFB-Report 2010-016. Published in: Applied Mathematics and Computation, Volume 218, Issue 2, 15 September 2011, pp. 219-232.

  • Y. Dong, M. Hintermüller, F. Knoll and R. Stollberger , Total Variation Denoising with Spatially Dependent Regularization. ISMRM 18th Annual Scientific Meeting and Exhibition 2010 Proceedings, p. 5088.

  • M. Hintermüller and T. Surowiec, First Order Optimality Conditions for Elliptic Mathematical Programs with Equilibrium Constraints via Variational Analysis. SIAM J. on Optimization, Volume 21, Issue 4 (2011), pp. 1561-1593.

  • M. Hintermüller and M.M. Rincon-Camacho, An adaptive finite element method in L2-TV-based image denoising. IFB-Report No. 38 (08/2010), Institute of Mathematics and Scientific Computing, University of Graz. Accepted for publication in: Inverse Problems and Imaging.

  • K. Chen, Y. Dong and M. Hintermüller, A Nonlinear Multigrid Solver with Line Gauss-Seidel-Semismooth-Newton-Smoother for the Fenchel-Pre-Dual in Total Variation based Image Restoration. IFB-Report No. 37 (05/2010), Institute of Mathematics and Scientific Computing, University of Graz. Published in: Inverse Problems and Imaging, Volume 5, Issue 2 (2011), pp. 323-339.

  • M. Hintermüller, V. Kovtunenko and K. Kunisch, Obstacle problems with cohesion: A hemi-variational inequality approach and its efficient numerical solution. SIAM Journal on Optimization 21 (2), 2011, pp. 491-516. Download pdf-file.

  • M. Hintermüller and J.C. de los Reyes, A duality-based semismooth Newton framework for solving variational inequalities of the second kind. IFB-Report No. 35 (01/2010), Institute of Mathematics and Scientific Computing, University of Graz. Published in: Interfaces and Free Boundaries 13 (2011), 437-462.

  • M. Hintermüller and M.M. Rincon-Camacho, Expected absolute value estimators for a spatially adapted regularization parameter choice rule in L1-TV-based image restoration. Inverse Problems 26, No. 8, August 2010.

  • M. Hintermüller, A. Laurain and A.A. Novotny, Second-order topological expansion for electrical impedance tomography. IFB-Report No. 33 (12/2009), Institute of Mathematics and Scientific Computing, University of Graz. Accepted for publication in: Advances in Computational Mathematics.

  • A. Günther and M.H. Tber, A Goal-Oriented Adaptive Moreau-Yosida Algorithm for Control- and State-Constrained Elliptic Control Problems. IFB-Report No. 32 (12/2009), Institute of Mathematics and Scientific Computing, University of Graz.

  • A. Laurain, S. Nazarov and J. Sokolowski, Singular perturbations of curved boundaries in dimension three. The spectrum of the Neumann Laplacian. IFB-Report No. 31 (10/2009), Institute of Mathematics and Scientific Computing, University of Graz. Published in: Journal for Analysis and its Applications, Volume 30 (2011), pp. 1-36, DOI: 10.4171/ZAA/

  • M. Hintermüller, M. Hinze and M.H. Tber, An adaptive finite element Moreau-Yosida-based solver for a non-smooth Cahn-Hilliard problem. IFB-Report No. 30 (08/2009), Institute of Mathematics and Scientific Computing, University of Graz. Published in: Optimization Methods and Software, Volume 26, Issue 4-5 (2011), pp. 777-811.

  • M. Hintermüller and R.H.W. Hoppe, Goal-oriented adaptivity in pointwise state constrained optimal control of partial differential equations. SIAM J. Control and Optimization, Volume 48, Issue 8 (2010), pp. 5468-5487.

  • Y. Dong, M. Hintermüller and M.M. Rincon-Camacho, A Multi-Scale Vectorial Lτ-TV Framework for Color Image Restoration.. IFB-Report No. 28 (05/2009), Institute of Mathematics and Scientific Computing, University of Graz. Published in: International Journal of Computer Vision, Volume 92, Issue 3, pp. 296-307, 2011.

  • Y. Dong, M. Hintermüller and M. Neri, An Efficient Primal-Dual Method for L1-TV Image Restoration. IFB-Report No. 27 (05/2009), Institute of Mathematics and Scientific Computing, University of Graz. Published in: SIAM Journal on Imaging Sciences, Volume 2, Issue 4 (2009), pp. 1168-1189. Download pdf-file.

  • M. Hintermüller, I. Kopacka and M.H. Tber, Recent Advances in the Numerical Solution of MPECs in Function Space. In: Numerical Techniques for Optimization Problems with PDE Constraints, Oberwolfach Report No. 4/2009, OWR Vol. 6. No. 1, European Mathematical Society Publishing House, ISSN 1660-8933, 2009, pp. 36-40.

  • R.H. Chan, Y. Dong and M. Hintermüller, An Efficient Two-Phase L1-TV Method for Restoring Blurred Images with Impulse Noise. IFB-Report No. 26 (03/2009), Institute of Mathematics and Scientific Computing, University of Graz. IEEE Transactions on Image Processings 19(7) (2010) 1731--1739.

  • Y. Dong and M. Hintermüller, Multi-Scale Vectorial Total Variation with Automated Regularization Parameter Selection for Color Image Restoration. IFB-Report No. 25 (02/2009), Institute of Mathematics and Scientific Computing, University of Graz. Published in Springer Lecture Notes in Computer Science, Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision, Norway, June, 2009, pp.271-281.

  • C. Clason, M. Hintermüller, S.L. Keeling, F. Knoll, A. Laurain and G. Von Winckel, An image space approach to Cartesian based parallel MR imaging with total variation regularization. Medical Image Analysis, Volume 16, Issue 1, January 2012, pp. 189-200.

  • G. Frémiot, W. Horn, A. Laurain, M. Rao and J. Sokolowski, On the analysis of boundary value problems in nonsmooth domains. Published in: Dissertationes Mathematicae, 462 (2009), 149 pp.

  • P. Fulmanski, A. Laurain, J.-F. Scheid and J. Sokolowski, Levelset method with topological derivatives in shape optimization. International Journal of Computer Mathematics, Vol. 85, No. 10, October 2008, pp. 1491-1514(24).

  • A. Laurain and K. Szulc, Using self-adjoint extensions in shape optimization. Proceedings of the 23rd IFIP TC7 Conference on System Modelling and Optimization, IFIP Advances in Information and Communication Technology, Vol. 312 (2009).

  • M. Grzanek, A. Laurain and K. Szulc, Numerical algorithms for an inverse problem in shape optimization. 6th International Conference on Inverse Problems in Engineering: Theory and Practice, Journal of Physics: Conference series, Vol. 135 (2008) 012047.

  • M. Hintermüller and A. Laurain, Optimal shape design subject to variational inequalities. IFB-Report No. 24 (11/2008), Institute of Mathematics and Scientific Computing, University of Graz. Published in: SIAM Journal on Control and Optimization, Vol.49 (2011), No.3, pp. 1015-1047.

  • M. Hintermüller, S.L. Keeling and A. Laurain, Modulation recovery and image reconstruction in Cartesian Parallel Magnetic Resonance Imaging: a structural study by parameterization. IFB-Report No. 23 (11/2008), Institute of Mathematics and Scientific Computing, University of Graz. Download pdf-file.

  • Y. Dong, M. Hintermüller and M.M. Rincon-Camacho, Automated regularization parameter selection in a multiscale total variation model. IFB-Report No. 22 (11/2008), Institute of Mathematics and Scientific Computing, University of Graz. Published in: Journal of Mathematical Imaging and Vision, Volume 40, Issue 1, pp. 82-104, 2011.

  • M. Hintermüller and I. Kopacka, A smooth penalty approach and a nonlinear multigrid algorithm for elliptic MPECs. IFB-Report No. 21 (11/2008), Institute of Mathematics and Scientific Computing, University of Graz. Published in: Computational Optimization and Applications, Springer Netherlands, Volume 50, Number 1, pp. 111-145, 2011. Download pdf-file.

  • M. Hintermüller and K. Kunisch, PDE-constrained optimization subject to pointwise control and zero- or first-order state constraints. IFB-Report No. 20 (10/2008), Institute of Mathematics and Scientific Computing, University of Graz. Published in: SIAM Journal on Optimization,Volume 20, Issue 3 (2009), pp. 1133-1156. Download pdf-file.

  • M. Hintermüller and M.H. Tber, An inverse problem in American options as a mathematical program with equilibrium constraints: C-stationarity and an active-set-Newton solver. IFB-Report No. 19 (10/2008), Institute of Mathematics and Scientific Computing, University of Graz. Published in: SIAM Journal on Control and Optimization, Vol. 48 (2010).

  • M. Hintermüller, An active-set equality constrained Newton solver with feasibility restoration for inverse coefficient problems in elliptic variational inequalities. IFB-Report No. 18 (05/2008), Institute of Mathematics and Scientific Computing, University of Graz. Published in: Inverse Problems 24 No 3 (June 2008) 034017 (23pp).

  • M. Hintermüller and R.H.W. Hoppe, Goal-oriented mesh adaptivity for mixed control-state constrained elliptic optimal control problems. IFB-Report No. 17 (04/2008), Institute of Mathematics and Scientific Computing, University of Graz. Published in: Computational Methods in Applied Sciences, Volume 15 (2010), pp. 97-111.

  • Y. Dong, M. Hintermüller and M.M. Rincon-Camacho, Regularization parameter selection in total variation based image denoising. IFB-Report No. 16 (04/2008), Institute of Mathematics and Scientific Computing, University of Graz. Published in: PAMM Volume 8, Issue 1, pp. 10931 - 10932.

  • M. Hintermüller and A. Laurain, Electrical Impedance Tomography: From Topology to Shape. IFB-Report No. 15 (02/2008), Institute of Mathematics and Scientific Computing, University of Graz. Accepted for publication in: Control and Cybernetics, special issue on the occasion of Jean-Paul Zolésio's 60th birthday, Vol. 37, No. 4, 2008. Download pdf-file.

  • M. Hintermüller and M. Hinze, Moreau-Yosida regularization in state constrained elliptic control problems: error estimates and parameter adjustment. IFB-Report No. 14 (03/2008), Institute of Mathematics and Scientific Computing, University of Graz. Published in: SIAM J. on Numerical Analysis, Volume 47, Issue 3 (2009), pp. 1666-1683.

  • M. Hintermüller and A. Laurain, Multiphase image segmentation and modulation recovery based on shape and topological sensitivity. IFB-Report No. 13 (12/2007), Institute of Mathematics and Scientific Computing, University of Graz. Published in: Journal of Mathematical Imaging and Vision, Volume 35, Number 1 (September 2009). pp. 1-22. Download pdf-file.

  • M. Hintermüller and S.L. Keeling, Image registration and segmentation based on energy minimization. IFB-Report No. 12 (11/2007), Institute of Mathematics and Scientific Computing, University of Graz. Published in: Handbook of Optimization in Medicine. Series: Springer Optimization and Its Applications , Vol. 26 (2009).

  • M. Hintermüller and I. Kopacka, Mathematical Programs with Complementarity Constraints in function space: C- and strong stationarity and a path-following algorithm. IFB-Report No. 11 (04/2008), Institute of Mathematics and Scientific Computing, University of Graz. Published in: SIAM Journal on Optimization, 20 (2009), pp. 868-902. Download pdf-file.

  • M. Hintermüller and A. Laurain, A shape and topology optimization technique for solving a class of linear complementarity problems in function space. IFB-Report No. 10 (10/2007), Institute of Mathematics and Scientific Computing, University of Graz. Published in: Computational Optimization and Applications, 2010, Vol. 46, No. 3, pp. 535-569.

  • M. Hintermüller and I. Yousept, A sensitivity-based extrapolation technique for the numerical solution of state-constrained optimal control problems. IFB-Report No. 9 (4/2007), Institute of Mathematics and Scientific Computing, University of Graz. Published in: ESAIM: Control, Optimisation and Calculus of Variations 16(3) (2010), 503--522.

  • M. Hintermüller and R.H.W. Hoppe, Goal-oriented adaptivity in control constrained optimal control of partial differential equations. IFB-Report No. 8 (4/2007), Institute of Mathematics and Scientific Computing, University of Graz. Published in: SIAM Journal on Control and Optimization, 47 (2008), pp. 1721-1743.

  • M. Hintermüller, F. Tröltzsch and I. Yousept, A nonlinear optimal control problem with mixed control-state constraints. IFB-Report No. 7 (4/2007), Institute of Mathematics and Scientific Computing, University of Graz. Published in: Numerische Mathematik, 108 (2008), no. 4, pp. 571-603.

  • M. Hintermüller and A. Laurain, Where to place a hole? IFB-Report No. 6 (3/2007), Institute of Mathematics and Scientific Computing, University of Graz. Published in: European Consortium for Mathematics in Industry, ECMI Newsletter 41, 2007.

  • M. Hintermüller, V.A. Kovtunenko and K. Kunisch, A Papkovich-Neuber-based numerical approach to cracks with contact in 3D. IFB-Report No. 5 (1/2007), Institute of Mathematics and Scientific Computing, University of Graz. Published in: IMA Journal of Applied Mathematics 74 (2009), pp. 325-343.

  • M. Hintermüller, I. Kopacka and S. Volkwein, Mesh-independence and preconditioning for solving parabolic control problems with mixed control-state constraints. IFB-Report No. 4 (12/2006), Institute of Mathematics and Scientific Computing, University of Graz. Published in: ESAIM: Control, Optimisation and Calculus of Variations, Volume 15, Issue 3 (2009). pp. 626-652.

  • P. Fulmanski, A. Laurain, J.-F. Scheid and J. Sokolowski, A levelset method in shape and topology optimization for variational inequalities. Int. J. Appl. Math. Comput. Sci., 17 (2007), No. 3, pp. 413-430.

  • A. Laurain, Structure of shape derivatives in non-smooth domains and applications. Advances in Mathematical Sciences and Applications, Vol. 15, No. 1 (2005).

  • M. Hintermüller and K. Kunisch, Stationary optimal control problems with pointwise state constraints. IFB-Report No. 3 (10/2006), Institute of Mathematics and Scientific Computing, University of Graz. Published in: Numerical PDE Constrained Optimization; Series: Lecture Notes in Computational Science and Engineering, Vol. 72. Heinkenschloss, Matthias; Vicente, Luis Nunes; Fernandes, Luis Merca (Eds.), 2009.

  • M. Hintermüller and R.H.W. Hoppe, Adaptive finite element methods for control constrained distributed and boundary optimal control problems. IFB-Report No. 2 (4/2006), Institute of Mathematics and Scientific Computing, University of Graz. Published in: Numerical PDE Constrained Optimization; Series: Lecture Notes in Computational Science and Engineering, Vol. 72. Heinkenschloss, Matthias; Vicente, Luis Nunes; Fernandes, Luis Merca (Eds.), 2009.

  • M. Hintermüller, Mesh-independence and fast local convergence of a primal-dual active-set method for mixed control-state constrained elliptic control problems. IFB-Report No. 1 (2/2006), Institute of Mathematics and Scientific Computing, University of Graz. Published in: ANZIAM-Journal, 49 (2007) 1, pp.1-38.

  • M. Hintermüller, R.H.W. Hoppe, Y. Iliash and M. Kieweg, An a posteriori error analysis of adaptive finite element methods for distributed elliptic control problems with control constraints. Published in: ESAIM: Control, Optimisation and Calculus of Variations (COCV), 14 (2008) 3, pp. 540-560.

  • M. Hintermüller and 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.

  • M. Burger and M. Hintermüller, Projected gradient flows for BV/Level set relaxation. Proc. Appl. Math. Mech., 5 (2005), pp. 11--14.

  • M. Hintermüller and G. Stadler, A primal-dual algorithm for TV-based inf-convolution-type image restoration. SIAM J. Scientific Computing, 28 (2006) 1, pp. 1--23.

  • M. Hintermüller, V. Kovtunenko and 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.

  • M. Hintermüller and K. Kunisch, Path-following methods for a class of constrained minimization problems in function space. SIAM J. Optimization, 17 (2006) 1, pp. 159--187.

  • M. Hintermüller, Fast level-set based algorithms using shape and topological sensitivity information. Control and Cybernetics, 34 (2005) 1, pp. 305--324.

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