Edit Profile (opens in new tab) Rautenberg, Carlos N. Co-Author Distance Author ID: rautenberg.carlos-n Published as: Rautenberg, Carlos N.; Rautenberg, C. N. Documents Indexed: 39 Publications since 2012, including 4 Additional arXiv Preprints Co-Authors: 31 Co-Authors with 39 Joint Publications 1,071 Co-Co-Authors all top 5 Co-Authors 0 single-authored 22 Hintermüller, Michael 9 Alphonse, Amal 5 Antil, Harbir 4 Arndt, Rafael 4 Ceretani, Andrea N. 2 Burns, John A. 2 Hu, Weiwei 2 Papafitsoros, Kostas 1 Chisholm, Nicholas G. 1 Hahn, Jooyoung 1 Kanitsar, Martin 1 Kröner, Axel 1 Langer, Andreas 1 Laurain, Antoine 1 Löbhard, Caroline 1 Menaldi, Jose-Luis 1 Mohammadi, Masoumeh 1 Mordukhovich, Boris S. 1 Nguyen, Dao 1 Papafitsoros, Konstantinos 1 Rodrigues, José Francisco 1 Rodrigues, Sérgio S. 1 Rösel, S. 1 Schikorra, Armin 1 Strogies, Nikolai 1 Sun, Hongpeng 1 Surowiec, Thomas 1 Verma, Deepanshu 1 Wachsmuth, Gerd 1 Wu, Tao 1 Zheng, Xiaoming all top 5 Serials 5 Journal of Mathematical Analysis and Applications 3 SIAM Journal on Control and Optimization 2 Numerical Functional Analysis and Optimization 2 SIAM Journal on Mathematical Analysis 2 SIAM Journal on Optimization 2 Journal of Mathematical Imaging and Vision 2 Calculus of Variations and Partial Differential Equations 2 Set-Valued and Variational Analysis 1 Inverse Problems 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Integral Equations and Operator Theory 1 Journal of Differential Equations 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Systems & Control Letters 1 Journal of Convex Analysis 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Interfaces and Free Boundaries 1 Portugaliae Mathematica. Nova Série 1 Advances in Nonlinear Analysis 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Fields 21 Calculus of variations and optimal control; optimization (49-XX) 17 Numerical analysis (65-XX) 14 Partial differential equations (35-XX) 10 Operator theory (47-XX) 6 Information and communication theory, circuits (94-XX) 4 Functional analysis (46-XX) 4 Fluid mechanics (76-XX) 4 Systems theory; control (93-XX) 3 Operations research, mathematical programming (90-XX) 2 Computer science (68-XX) 2 Mechanics of deformable solids (74-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Real functions (26-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 30 Publications have been cited 288 times in 148 Documents Cited by ▼ Year ▼ Optimal selection of the regularization function in a weighted total variation model. I: Modelling and theory. Zbl 1382.94015 Hintermüller, Michael; Rautenberg, Carlos N. 30 2017 Optimal selection of the regularization function in a weighted total variation model. II: Algorithm, its analysis and numerical tests. Zbl 1382.94016 Hintermüller, Michael; Rautenberg, Carlos N.; Wu, Tao; Langer, Andreas 26 2017 Sobolev spaces with non-Muckenhoupt weights, fractional elliptic operators, and applications. Zbl 1420.35487 Antil, Harbir; Rautenberg, Carlos N. 24 2019 A sequential minimization technique for elliptic quasi-variational inequalities with gradient constraints. Zbl 1268.47076 Hintermüller, Michael; Rautenberg, Carlos N. 20 2012 On the density of classes of closed convex sets with pointwise constraints in Sobolev spaces. Zbl 1352.46033 Hintermüller, M.; Rautenberg, C. N. 17 2015 Directional differentiability for elliptic quasi-variational inequalities of obstacle type. Zbl 1439.49014 Alphonse, Amal; Hintermüller, Michael; Rautenberg, Carlos N. 16 2019 Analytical aspects of spatially adapted total variation regularisation. Zbl 1416.94016 Hintermüller, Michael; Papafitsoros, Konstantinos; Rautenberg, Carlos N. 14 2017 Parabolic quasi-variational inequalities with gradient-type constraints. Zbl 1293.35156 Hintermüller, Michael; Rautenberg, Carlos N. 13 2013 The infinite-dimensional optimal filtering problem with mobile and stationary sensor networks. Zbl 1316.47024 Burns, John A.; Rautenberg, Carlos N. 12 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 12 2014 Fractional elliptic quasi-variational inequalities: theory and numerics. Zbl 1390.35427 Antil, Harbir; Rautenberg, Carlos N. 12 2018 Density of convex intersections and applications. Zbl 1402.49012 Hintermüller, M.; Rautenberg, C. N.; Rösel, S. 12 2017 Recent trends and views on elliptic quasi-variational inequalities. Zbl 1448.49013 Alphonse, Amal; Hintermüller, Michael; Rautenberg, Carlos N. 9 2019 On the uniqueness and numerical approximation of solutions to certain parabolic quasi-variational inequalities. Zbl 1477.49015 Hintermüller, Michael; Rautenberg, Carlos N. 8 2017 Solutions and approximations to the Riccati integral equation with values in a space of compact operators. Zbl 1321.47164 Burns, John A.; Rautenberg, Carlos N. 8 2015 Dualization and automatic distributed parameter selection of total generalized variation via bilevel optimization. Zbl 07559547 Hintermüller, Michael; Papafitsoros, Kostas; Rautenberg, Carlos N.; Sun, Hongpeng 8 2022 Stability of the solution set of quasi-variational inequalities and optimal control. Zbl 1516.49004 Alphonse, Amal; Hintermüller, Michael; Rautenberg, Carlos N. 7 2020 Dissipative and non-dissipative evolutionary quasi-variational inequalities with gradient constraints. Zbl 1418.35248 Hintermüller, M.; Rautenberg, C. N.; Strogies, N. 7 2019 The Boussinesq system with mixed non-smooth boundary conditions and do-nothing boundary flow. Zbl 1409.76022 Ceretani, Andrea N.; Rautenberg, Carlos N. 6 2019 Optimal sensor placement: a robust approach. Zbl 1516.35253 Hintermüller, Michael; Rautenberg, Carlos N.; Mohammadi, Masoumeh; Kanitsar, Martin 5 2017 On existence and uniqueness of solutions to a Boussinesq system with nonlinear and mixed boundary conditions. Zbl 1442.35320 Arndt, Rafael; Ceretani, Andrea N.; Rautenberg, Carlos N. 4 2020 Elliptic mathematical programs with equilibrium constraints in function space: optimality conditions and numerical realization. Zbl 1327.49037 Hintermüller, Michael; Laurain, Antoine; Löbhard, Caroline; Rautenberg, Carlos N.; Surowiec, Thomas M. 3 2014 On some quasi-variational inequalities and other problems with moving sets. Zbl 1466.35209 Menaldi, José-Luis; Rautenberg, Carlos N. 2 2021 Nondiffusive variational problems with distributional and weak gradient constraints. Zbl 1498.35293 Antil, Harbir; Arndt, Rafael; Rautenberg, Carlos N.; Verma, Deepanshu 2 2022 Variable step mollifiers and applications. Zbl 1478.46034 Hintermüller, Michael; Papafitsoros, Kostas; Rautenberg, Carlos N. 2 2020 On a fractional version of a Murat compactness result and applications. Zbl 1478.46030 Antil, Harbir; Rautenberg, Carlos N.; Schikorra, Armin 2 2021 Existence, iteration procedures and directional differentiability for parabolic QVIs. Zbl 1439.49015 Alphonse, Amal; Hintermüller, Michael; Rautenberg, Carlos N. 2 2020 Analysis of a quasi-variational contact problem arising in thermoelasticity. Zbl 1509.35301 Alphonse, Amal; Rautenberg, Carlos N.; Rodrigues, José Francisco 2 2022 Optimal control and directional differentiability for elliptic quasi-variational inequalities. Zbl 07563231 Alphonse, Amal; Hintermüller, Michael; Rautenberg, Carlos N. 2 2022 On the differentiability of the minimal and maximal solution maps of elliptic quasi-variational inequalities. Zbl 1477.49011 Alphonse, Amal; Hintermüller, Michael; Rautenberg, Carlos N. 1 2022 Dualization and automatic distributed parameter selection of total generalized variation via bilevel optimization. Zbl 07559547 Hintermüller, Michael; Papafitsoros, Kostas; Rautenberg, Carlos N.; Sun, Hongpeng 8 2022 Nondiffusive variational problems with distributional and weak gradient constraints. Zbl 1498.35293 Antil, Harbir; Arndt, Rafael; Rautenberg, Carlos N.; Verma, Deepanshu 2 2022 Analysis of a quasi-variational contact problem arising in thermoelasticity. Zbl 1509.35301 Alphonse, Amal; Rautenberg, Carlos N.; Rodrigues, José Francisco 2 2022 Optimal control and directional differentiability for elliptic quasi-variational inequalities. Zbl 07563231 Alphonse, Amal; Hintermüller, Michael; Rautenberg, Carlos N. 2 2022 On the differentiability of the minimal and maximal solution maps of elliptic quasi-variational inequalities. Zbl 1477.49011 Alphonse, Amal; Hintermüller, Michael; Rautenberg, Carlos N. 1 2022 On some quasi-variational inequalities and other problems with moving sets. Zbl 1466.35209 Menaldi, José-Luis; Rautenberg, Carlos N. 2 2021 On a fractional version of a Murat compactness result and applications. Zbl 1478.46030 Antil, Harbir; Rautenberg, Carlos N.; Schikorra, Armin 2 2021 Stability of the solution set of quasi-variational inequalities and optimal control. Zbl 1516.49004 Alphonse, Amal; Hintermüller, Michael; Rautenberg, Carlos N. 7 2020 On existence and uniqueness of solutions to a Boussinesq system with nonlinear and mixed boundary conditions. Zbl 1442.35320 Arndt, Rafael; Ceretani, Andrea N.; Rautenberg, Carlos N. 4 2020 Variable step mollifiers and applications. Zbl 1478.46034 Hintermüller, Michael; Papafitsoros, Kostas; Rautenberg, Carlos N. 2 2020 Existence, iteration procedures and directional differentiability for parabolic QVIs. Zbl 1439.49015 Alphonse, Amal; Hintermüller, Michael; Rautenberg, Carlos N. 2 2020 Sobolev spaces with non-Muckenhoupt weights, fractional elliptic operators, and applications. Zbl 1420.35487 Antil, Harbir; Rautenberg, Carlos N. 24 2019 Directional differentiability for elliptic quasi-variational inequalities of obstacle type. Zbl 1439.49014 Alphonse, Amal; Hintermüller, Michael; Rautenberg, Carlos N. 16 2019 Recent trends and views on elliptic quasi-variational inequalities. Zbl 1448.49013 Alphonse, Amal; Hintermüller, Michael; Rautenberg, Carlos N. 9 2019 Dissipative and non-dissipative evolutionary quasi-variational inequalities with gradient constraints. Zbl 1418.35248 Hintermüller, M.; Rautenberg, C. N.; Strogies, N. 7 2019 The Boussinesq system with mixed non-smooth boundary conditions and do-nothing boundary flow. Zbl 1409.76022 Ceretani, Andrea N.; Rautenberg, Carlos N. 6 2019 Fractional elliptic quasi-variational inequalities: theory and numerics. Zbl 1390.35427 Antil, Harbir; Rautenberg, Carlos N. 12 2018 Optimal selection of the regularization function in a weighted total variation model. I: Modelling and theory. Zbl 1382.94015 Hintermüller, Michael; Rautenberg, Carlos N. 30 2017 Optimal selection of the regularization function in a weighted total variation model. II: Algorithm, its analysis and numerical tests. Zbl 1382.94016 Hintermüller, Michael; Rautenberg, Carlos N.; Wu, Tao; Langer, Andreas 26 2017 Analytical aspects of spatially adapted total variation regularisation. Zbl 1416.94016 Hintermüller, Michael; Papafitsoros, Konstantinos; Rautenberg, Carlos N. 14 2017 Density of convex intersections and applications. Zbl 1402.49012 Hintermüller, M.; Rautenberg, C. N.; Rösel, S. 12 2017 On the uniqueness and numerical approximation of solutions to certain parabolic quasi-variational inequalities. Zbl 1477.49015 Hintermüller, Michael; Rautenberg, Carlos N. 8 2017 Optimal sensor placement: a robust approach. Zbl 1516.35253 Hintermüller, Michael; Rautenberg, Carlos N.; Mohammadi, Masoumeh; Kanitsar, Martin 5 2017 On the density of classes of closed convex sets with pointwise constraints in Sobolev spaces. Zbl 1352.46033 Hintermüller, M.; Rautenberg, C. N. 17 2015 The infinite-dimensional optimal filtering problem with mobile and stationary sensor networks. Zbl 1316.47024 Burns, John A.; Rautenberg, Carlos N. 12 2015 Solutions and approximations to the Riccati integral equation with values in a space of compact operators. Zbl 1321.47164 Burns, John A.; Rautenberg, Carlos N. 8 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 12 2014 Elliptic mathematical programs with equilibrium constraints in function space: optimality conditions and numerical realization. Zbl 1327.49037 Hintermüller, Michael; Laurain, Antoine; Löbhard, Caroline; Rautenberg, Carlos N.; Surowiec, Thomas M. 3 2014 Parabolic quasi-variational inequalities with gradient-type constraints. Zbl 1293.35156 Hintermüller, Michael; Rautenberg, Carlos N. 13 2013 A sequential minimization technique for elliptic quasi-variational inequalities with gradient constraints. Zbl 1268.47076 Hintermüller, Michael; Rautenberg, Carlos N. 20 2012 all cited Publications top 5 cited Publications all top 5 Cited by 212 Authors 24 Rautenberg, Carlos N. 22 Hintermüller, Michael 15 Antil, Harbir 8 Alphonse, Amal 7 Papafitsoros, Kostas 6 De los Reyes, Juan Carlos 5 Chambolle, Antonin 5 Laghrib, Amine 5 Pock, Thomas 5 Rodrigues, José Francisco 5 Warma, Mahamadi 4 Burns, John A. 4 Christof, Constantin 4 Kanzow, Christian 4 Nachaoui, Mourad 4 Sun, Hongpeng 3 Beneš, Michal 3 D’Elia, Marta 3 Kunisch, Karl 3 Rösel, S. 3 Santos, Lisa 3 Schikorra, Armin 3 Verma, Deepanshu 3 Wachsmuth, Gerd 2 Afraites, Lekbir 2 Arndt, Rafael 2 Bartels, Sören 2 Calatroni, Luca 2 Ceretani, Andrea N. 2 Cheng, Sheng 2 Demetriou, Michael A. 2 Dong, Guozhi 2 Gatsonis, Nikolaos A. 2 Hadri, Aissam 2 Holler, Martin 2 Kantas, Nikolas 2 Khatri, Ratna 2 Kovtunenko, Viktor Anatolievich 2 Kučera, Petr 2 Langer, Andreas 2 Manns, Paul 2 Paley, Derek A. 2 Railo, Jesse 2 Schönlieb, Carola-Bibiane 2 Sharrock, Louis 2 Steck, Daniel Daniel 2 Tian, Xin 2 Vacková, Petra 2 Valkonen, Tuomo 2 Zeng, Shengda 2 Zheng, Xiangcheng 2 Zhu, Wei 2 Zimmermann, Philipp 1 Abada, Esma 1 Ait Bella, Fatim Zahra 1 Alkämper, Martin 1 Alnashri, Yahya Ahmad 1 Altekrüger, Fabian 1 Arridge, Simon R. 1 Aussal, Matthieu 1 Ba, Fatima Antarou 1 Bae, Egil 1 Bai, Yunru 1 Berry, Tyrus 1 Blatt, Simon 1 Bogensperger, Lea 1 Borcea, Liliana 1 Bredies, Kristian 1 Brinkmann, Eva-Maria 1 Burger, Martin 1 Cardona, Duván 1 Castro, Paula Maria 1 Chen, Yanlai 1 Cheung, James 1 Chisholm, Nicholas G. 1 Cocquet, Pierre-Henri 1 Condat, Laurent 1 Cordoba, Diego 1 Cristoferi, Riccardo 1 Danczul, Tobias 1 Darbon, Jerome 1 Darve, Eric 1 Davoli, Elisa 1 Delgado, Julio 1 Di, Zichao Wendy 1 Díaz, Hugo S. 1 Dondl, Patrick Werner 1 Droniou, Jérôme 1 Duan, Yuping 1 Enciso, Alberto 1 Ervin, Vincent J. 1 Facchinei, Francisco 1 Ferreira, Rita 1 Fonseca, Irene 1 Garrappa, Roberto 1 Gaspoz, Fernando D. 1 Ghazdali, Abdelghani 1 Giusti, Andrea 1 Gokieli, Maria 1 González Andrade, Sergio ...and 112 more Authors all top 5 Cited in 65 Serials 11 SIAM Journal on Control and Optimization 9 SIAM Journal on Imaging Sciences 8 Inverse Problems 8 Journal of Mathematical Imaging and Vision 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Inverse Problems and Imaging 4 SIAM Journal on Numerical Analysis 4 Journal of Scientific Computing 4 Computational Optimization and Applications 4 Calculus of Variations and Partial Differential Equations 3 Journal of Mathematical Analysis and Applications 3 Applied Mathematics and Optimization 3 Automatica 3 Journal of Computational and Applied Mathematics 3 SIAM Journal on Mathematical Analysis 3 SIAM Journal on Scientific Computing 3 Oberwolfach Reports 2 Journal of Computational Physics 2 Journal of Optimization Theory and Applications 2 Numerical Functional Analysis and Optimization 2 Numerical Methods for Partial Differential Equations 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 SIAM Journal on Optimization 2 Journal of Convex Analysis 2 Inverse Problems in Science and Engineering 2 Advances in Calculus of Variations 2 Set-Valued and Variational Analysis 2 Mathematical Control and Related Fields 2 Advances in Nonlinear Analysis 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 Journal of the Franklin Institute 1 Mathematical Methods in the Applied Sciences 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Advances in Mathematics 1 Integral Equations and Operator Theory 1 Journal of Differential Equations 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Computational Mechanics 1 Applied Mathematics Letters 1 Applications of Mathematics 1 Applied Mathematical Modelling 1 International Journal of Computer Mathematics 1 SIAM Review 1 Mathematical Programming. Series A. Series B 1 Applied and Computational Harmonic Analysis 1 Journal of Inverse and Ill-Posed Problems 1 Bernoulli 1 Journal of Applied Analysis 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Fractional Calculus & Applied Analysis 1 Discrete and Continuous Dynamical Systems. Series B 1 Portugaliae Mathematica. Nova Série 1 Journal of Numerical Mathematics 1 Communications on Pure and Applied Analysis 1 Acta Numerica 1 Boundary Value Problems 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Discrete and Continuous Dynamical Systems. Series S 1 Journal of Spectral Theory 1 SIAM/ASA Journal on Uncertainty Quantification 1 Journal of Elliptic and Parabolic Equations 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 SIAM Journal on Mathematics of Data Science 1 Portugaliae Mathematica all top 5 Cited in 27 Fields 72 Calculus of variations and optimal control; optimization (49-XX) 70 Numerical analysis (65-XX) 66 Partial differential equations (35-XX) 37 Information and communication theory, circuits (94-XX) 26 Operations research, mathematical programming (90-XX) 21 Operator theory (47-XX) 21 Computer science (68-XX) 13 Real functions (26-XX) 13 Systems theory; control (93-XX) 10 Mechanics of deformable solids (74-XX) 10 Fluid mechanics (76-XX) 9 Functional analysis (46-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 General and overarching topics; collections (00-XX) 4 Statistics (62-XX) 4 Biology and other natural sciences (92-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Probability theory and stochastic processes (60-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Approximations and expansions (41-XX) 2 Integral equations (45-XX) 2 Convex and discrete geometry (52-XX) 2 Optics, electromagnetic theory (78-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Potential theory (31-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX) Citations by Year