Dr. Carlos N. Rautenberg

Junior Research Group Leader (ECMath-Nachwuchsgruppenleiter) for

Numerics and Optimization of Robust Equilibria

Latest relevant publications


OA Recent trends and views on elliptic quasi-variational inequalities
with A. Alphonse, and M. Hintermüller.
WIAS Preprint No. 2518, 2018.

OA The Boussinesq system with mixed non-smooth boundary conditions and do-nothing boundary flow
with A. N. Ceretani.
Zeitschrift für angewandte Mathematik und Physik (ZAMP) 70: 14, 2019.

OA Sobolev spaces with non-Muckenhoupt weights, fractional elliptic operators, and applications
with H. Antil.
Preprint arxiv 1803.10350, 2018.

OA Directional Differentiability for Elliptic Quasi-variational Inequalities of Obstacle Type
with A. Alphonse, and M. Hintermüller.
Accepted for publication on Calculus of Variations and PDE's, 2018.

OA Dissipative and non-dissipative evolutionary quasi-variational inequalities with gradient constraints
with M. Hintermüller, and N. Strogies.
Set-Valued and Variational Analysis, 2018.

OA Fractional Elliptic Quasi-Variational Inequalities: Theory and Numerics
with H. Antil.
Interfaces and Free Boundaries, Volume 20, Issue 1, 2018, pp. 1-24, 2018.

OA Density of convex intersections and applications
with M. Hintermüller, and S. Rösel.
Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, 473(2205), 2017.

OA Optimal sensor placement: A robust approach
with M. Hintermüller, M. Mohammadi, and M. Kanitsar.
SIAM Journal on Control and Optimization, 55(6), 3609-3639, 2017.

OA Optimal selection of the regularization function in a weighted total variation model.
Part I: Modelling and theory

with M. Hintermüller.
Journal of Mathematical Imaging and Vision, 59(3), 498-514, 2017.

OA Optimal selection of the regularization function in a weighted total variation model.
Part II: Algorithm, its analysis and numerical tests.

with M. Hintermüller, T. Wu and A. Langer.
Journal of Mathematical Imaging and Vision, 59(3), 515-533, 2017.

OA Analytical aspects of spatially adapted total variation regularisation.
with M. Hintermüller, and K. Papafitsoros.
Journal of Mathematical Analysis and Applications, 454(2), pp. 891-935, 2017.

OA On the Uniqueness and Numerical Approximation of Solutions to certain Parabolic Quasi-variational Inequalities.
with M. Hintermüller.
Portugaliae Mathematica, 74(1), pp. 1-35, 2017.

OA Adaptive regularization for image reconstruction from subsampled data.
with M. Hintermüller, A. Langer and T. Wu.
"Imagining, Vision and Learning Based on Optimization and PDEs", Mathematics and Visualization, Springer International Publishing, Berlin, pp. 3-26, 2017.

OA The Infinite Dimensional Optimal Filtering Problem With Mobile and Stationary Sensor Networks
with J. A. Burns.
Numerical Functional Analysis and Optimization (Taylor & Francis), 36(2), pp. 181-224, 2015.

OA Solutions and Approximations to the Riccati Integral Equation with Values in a Space of Compact Operators
with J. A. Burns.
SIAM Journal on Control and Optimization, 53(5), pp. 2846-2877, 2015.

OA On the density of classes of closed convex sets with pointwise constraints in Sobolev spaces
with M. Hintermüller.
Journal of Mathematical Analysis and Applications, 426(1), pp. 585-593, 2015.

OA Functional-Analytic and Numerical Issues in Splitting Methods for Total Variation-based Image Reconstruction
with J. Hahn and M. Hintermüller.
Inverse Problems (IOPscience), 30(5), 055014, 2014.

Papers under preparation


Optimal Feedback Controllers and Sensor Placement for the Boussinesq System.
with W. Hu.

Hyperbolic Quasi-variational Inequalities with Gradient Constraints


On the variable fractional Laplacian
with H. Antil.

The stationary and evolutionary Boussinesq system with do-nothing boundary conditions: Approximation, Control, and Filtering.
with A. Ceretani and R. Arndt.

Shape optimization for Navier-Stokes flow with mixed boundary conditions and industrial applications.
with M. Hintermüller and M. Kanitsar.

Variable step mollifiers and applications.
with M. Hintermüller and K. Papafitsoros.

Stability of the solution set and optimal control of quasi-variational inequalities.
with A. Alphonse, and M. Hintermüller.

Latest relevant invited talks


On the optimal control of quasi-variational inequalities
23rd International Symposium on Mathematical Programming (ISMP), Bordeaux, France, July 3, 2018.

Optimization problems with quasi-variational inequality constraints
Oberwolfach Workshop ``Challenges in Optimal Control of Nonlinear PDE-Systems'', Oberwolfach, Germany, April 11, 2018.

Density of convex sets in Sobolev spaces with applications to optimization problems
Oberseminar zur Numerik und Optimierung, Philipps-Universität Marburg, Marburg, Germany, November 1st, 2017.

Density of convex set intersections in Sobolev spaces with applications
Colloquium of the Oklahoma State University Mathematics Department, Stillwater OK, US, September 29, 2017.

Optimal Parameter Selection for a Weighted Total Variation Model in Image Reconstruction
Applied and Computational Math Seminar of George Mason University, Fairfax VA, US, September 22, 2017.

Optimal Control of Elliptic Quasi-Variational Inequalities
Colloquium of the Virginia Tech Mathematics Department, Blacksburg VA, US, September 15, 2017.

Robust Sensor Placement for Quasi-Variational Inequalities
Sensor Location in Distributed Parameter Systems, University of Minnesota, Minneapolis MN, US, September 06-08, 2017.

Stability and control of quasi-variational inequalities with non-unique solutions
14th International Conference on Free Boundary Problems: Theory and Applications, Shanghai Jiao Tong University, Shanghai, China, July 9-14, 2017.

Optimal Sensor Location in Distributed Parameter Systems
International Workshop Optimal Control of Dynamical Systems, Graz, Austria, May 19, 2017.

Shape optimization for Navier-Stokes with mixed boundary conditions
Seminar of Analysis and Differential Equations, Universidade de Lisboa, Lisboa, Portugal, February 23, 2017.

Density of convex intersections in Sobolev spaces with applications
Seminar of Analysis and Applications, Centre of Mathematics, Universty of Minho, Braga, Portugal, February 20, 2017.

Quasi-variational Inequalities with Non-local Differential Operators
European Conference on Computational Optimization 2016 (EUCCO 2016), Leuven, Belgium, September 12-14, 2016.

Optimal and Robust Sensor Placement
IMA Annual Program Year Workshop Computational Methods for Control of Infinite-dimensional Systems, University of Minnesota, Minneapolis MN, US, March 14-18, 2016.

A Quasi-variational inequality with gradient constraints approach to the growth of sandpiles and related processes
27th IFIP TC7 Conference 2015 on System Modelling and Optimization, Sophia Antipolis, France, June 29-July 3, 2015.

Density of classes of closed convex sets in Sobolev spaces, Fenchel duality and applications
27th IFIP TC7 Conference 2015 on System Modelling and Optimization, Sophia Antipolis, France, June 29-July 3, 2015.

Robust Optimal Sensor Placement
IV International Conference on Applied Mathematics, Design and Control: Mathematical Methods and Modeling in Engineering and Life Sciences, San Martin National University (Universidad Nacional de San Martín), Buenos Aires, Argentina, November 4-6, 2015.

Analysis and approximation of evolutionary quasi-variational inequalities.
Berliner Oberseminar Nichtlineare partielle Differentialgleichungen (Langenbach-Seminar), Weierstrass Institute for Applied Analysis and Stochastics (WIAS), Berlin, Germany, June 24, 2015.

On the optimal sensor placement problem
XXIV Congreso de Ecuaciones Diferenciales y Aplicaciones / XIV Congreso de Matemática Aplicada (XXIV CEDYA / XIV CMA), University of Cadiz (Universidad de Cádiz), Cádiz, Spain, June 8-12, 2015.

On a shape optimization problem for Navier-Stokes applied to flow in a duct.
International Conference on Inverse Problems and Optimal Control, The Chinese University of Hong Kong, Hong Kong, China, December 4-6, 2014.

On a Bilevel Optimal Control Problem Arising in Image Reconstruction.
Workshop - Bilevel Optimal Control - Combining Theoretical and Numerical Approaches, Heidelberg University, Heidelberg, Germany, October 20-22, 2014.

On the Control of a Double Obstacle Problem in Image Reconstruction.
6th International Conference on Complementarity Problems (ICCP 2014), Humboldt-Universität zu Berlin, Berlin, Germany, August 4-8, 2014.



Full publication list and pre-prints available by request to carlos.rautenberg@mathematik.hu-berlin.de.