Axel Kröner

412 total citations
21 papers, 215 citations indexed

About

Axel Kröner is a scholar working on Computational Mechanics, Control and Systems Engineering and Numerical Analysis. According to data from OpenAlex, Axel Kröner has authored 21 papers receiving a total of 215 indexed citations (citations by other indexed papers that have themselves been cited), including 15 papers in Computational Mechanics, 13 papers in Control and Systems Engineering and 8 papers in Numerical Analysis. Recurrent topics in Axel Kröner's work include Advanced Numerical Methods in Computational Mathematics (12 papers), Stability and Controllability of Differential Equations (11 papers) and Numerical methods for differential equations (8 papers). Axel Kröner is often cited by papers focused on Advanced Numerical Methods in Computational Mathematics (12 papers), Stability and Controllability of Differential Equations (11 papers) and Numerical methods for differential equations (8 papers). Axel Kröner collaborates with scholars based in France, Germany and Austria. Axel Kröner's co-authors include Boris Vexler, Jochen Garcke, Karl Kunisch, J. Frédéric Bonnans, Hasnaa Zidani, Dante Kalise and Michael Hintermüller and has published in prestigious journals such as Mathematical Programming, SIAM Journal on Scientific Computing and SIAM Journal on Control and Optimization.

In The Last Decade

Axel Kröner

19 papers receiving 192 citations

Peers

Axel Kröner

CTM

CSE

SNP

Konstantinos Chrysafinos Greece

Jianbo Cui China

Rafikul Alam India

Nobito Yamamoto Japan

Mario Arioli United Kingdom

Mudassir Shams Pakistan

Adrian T. Hill United Kingdom

Mohammed Heyouni France

Michael Karow Germany

Dominik Meidner Germany

Konstantinos Chrysafinos Greece

Axel Kröner

254 ×2.1

179 ×1.9

CTM

71 ×0.9

CSE

97 ×1.5

19 ×0.5

SNP

Citations per year, relative to Axel Kröner Axel Kröner (= 1×) peers Konstantinos Chrysafinos

Countries citing papers authored by Axel Kröner

Since Specialization

Citations

This map shows the geographic impact of Axel Kröner's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Axel Kröner with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Axel Kröner more than expected).

Fields of papers citing papers by Axel Kröner

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Axel Kröner. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Axel Kröner. The network helps show where Axel Kröner may publish in the future.

Co-authorship network of co-authors of Axel Kröner

This figure shows the co-authorship network connecting the top 25 collaborators of Axel Kröner. A scholar is included among the top collaborators of Axel Kröner based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Axel Kröner. Axel Kröner is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Hintermüller, Michael & Axel Kröner. (2023). Differentiability Properties for Boundary Control of Fluid-Structure Interactions of Linear Elasticity with Navier-Stokes Equations with Mixed-Boundary Conditions in a Channel. Applied Mathematics & Optimization. 87(2). 1 indexed citations

Kröner, Axel, et al.. (2021). Classification with Runge-Kutta networks and feature space augmentation. 8(4). 495–520. 1 indexed citations

Kröner, Axel, et al.. (2019). State constrained control-affine parabolic problems II: Second order\n sufficient optimality conditions. arXiv (Cornell University). 2 indexed citations

Bonnans, J. Frédéric, et al.. (2018). Correction to: Optimal control of infinite dimensional bilinear systems: application to the heat and wave equations. Mathematical Programming. 170(2). 569–570. 1 indexed citations

Bonnans, J. Frédéric & Axel Kröner. (2018). Variational Analysis for Options with Stochastic Volatility and Multiple Factors. SIAM Journal on Financial Mathematics. 9(2). 465–492.

Kröner, Axel, et al.. (2018). Infinite Horizon Stochastic Optimal Control Problems with Running Maximum Cost. SIAM Journal on Control and Optimization. 56(5). 3296–3319. 4 indexed citations

Bonnans, J. Frédéric, et al.. (2017). Optimal control of bilinear systems in a complex space setting. IFAC-PapersOnLine. 50(1). 2872–2877. 1 indexed citations

Kalise, Dante, Axel Kröner, & Karl Kunisch. (2016). Local Minimization Algorithms for Dynamic Programming Equations. SIAM Journal on Scientific Computing. 38(3). A1587–A1615. 6 indexed citations

Garcke, Jochen & Axel Kröner. (2016). Suboptimal Feedback Control of PDEs by Solving HJB Equations on Adaptive Sparse Grids. Journal of Scientific Computing. 70(1). 1–28. 43 indexed citations

10.

Bonnans, J. Frédéric, et al.. (2016). Optimal control of infinite dimensional bilinear systems: application to the heat and wave equations. Mathematical Programming. 168(1-2). 717–757. 13 indexed citations

11.

Kröner, Axel, Karl Kunisch, & Hasnaa Zidani. (2015). Optimal feedback control for undamped wave equations by solving a HJB equation. ESAIM Control Optimisation and Calculus of Variations. 21(2). 442–464. 4 indexed citations

12.

Kröner, Axel, et al.. (2015). Internal exponential stabilization to a nonstationary solution for 1D Burgers equations with piecewise constant controls. HAL (Le Centre pour la Communication Scientifique Directe). 2676–2681. 5 indexed citations

13.

Kröner, Axel, et al.. (2015). Remarks on the Internal Exponential Stabilization to a Nonstationary Solution for 1D Burgers Equations. SIAM Journal on Control and Optimization. 53(2). 1020–1055. 13 indexed citations

14.

Kröner, Axel. (2013). Semi-Smooth Newton Methods for Optimal Control of the Dynamical Lamé System with Control Constraints. Numerical Functional Analysis and Optimization. 34(7). 741–769. 5 indexed citations

15.

Kröner, Axel & Karl Kunisch. (2013). A minimum effort optimal control problem for the wave equation. Computational Optimization and Applications. 57(1). 241–270. 4 indexed citations

16.

Kröner, Axel. (2012). Adaptive Finite Element Methods for Optimal Control of Elastic Waves. IFAC Proceedings Volumes. 45(2). 1112–1117. 1 indexed citations

17.

Kröner, Axel, Karl Kunisch, & Boris Vexler. (2011). Semismooth Newton Methods for Optimal Control of the Wave Equation with Control Constraints. SIAM Journal on Control and Optimization. 49(2). 830–858. 42 indexed citations

18.

Kröner, Axel. (2011). Numerical Methods for Control of Second Order Hyperbolic Equations. mediaTUM – the media and publications repository of the Technical University Munich (Technical University Munich). 4 indexed citations

19.

Kröner, Axel. (2011). Adaptive Finite Element Methods For Optimal Control Of Second Order Hyperbolic Equations. Computational Methods in Applied Mathematics. 11(2). 214–240. 23 indexed citations

20.

Kröner, Axel & Boris Vexler. (2009). A priori error estimates for elliptic optimal control problems with a bilinear state equation. Journal of Computational and Applied Mathematics. 230(2). 781–802. 41 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

Explore authors with similar magnitude of impact