Dietmar Kröner

1.7k total citations
34 papers, 1.0k citations indexed

About

Dietmar Kröner is a scholar working on Computational Mechanics, Applied Mathematics and Numerical Analysis. According to data from OpenAlex, Dietmar Kröner has authored 34 papers receiving a total of 1.0k indexed citations (citations by other indexed papers that have themselves been cited), including 29 papers in Computational Mechanics, 16 papers in Applied Mathematics and 5 papers in Numerical Analysis. Recurrent topics in Dietmar Kröner's work include Computational Fluid Dynamics and Aerodynamics (24 papers), Advanced Numerical Methods in Computational Mathematics (15 papers) and Navier-Stokes equation solutions (14 papers). Dietmar Kröner is often cited by papers focused on Computational Fluid Dynamics and Aerodynamics (24 papers), Advanced Numerical Methods in Computational Mathematics (15 papers) and Navier-Stokes equation solutions (14 papers). Dietmar Kröner collaborates with scholars based in Germany, France and Czechia. Dietmar Kröner's co-authors include Mario Ohlberger, Mai Duc Thanh, Christian Rohde, Randall J. LeVeque, Constantine M. Dafermos, Wolfgang E. Nagel, Michael Resch, Mirko Rokyta, Philippe G. LeFloch and Sebastian Noelle and has published in prestigious journals such as Journal of Computational Physics, Biochimica et Biophysica Acta (BBA) - Biomembranes and Mathematics of Computation.

In The Last Decade

Dietmar Kröner

34 papers receiving 913 citations

Peers

Dietmar Kröner

CTM

Edwige Godlewski France

Fré́dé́ric Coquel France

Robert B. Lowrie United States

Thomas Sonar Germany

Marc Massot France

Bojan Popov United States

Jing‐Mei Qiu United States

Li Yuan China

А. Г. Куликовский Russia

Huazhong Tang China

Edwige Godlewski France

Dietmar Kröner

1.1k ×1.4

648 ×1.8

103 ×1.0

125 ×1.2

68 ×0.8

CTM

Citations per year, relative to Dietmar Kröner Dietmar Kröner (= 1×) peers Edwige Godlewski

Countries citing papers authored by Dietmar Kröner

Since Specialization

Citations

This map shows the geographic impact of Dietmar 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 Dietmar Kröner with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Dietmar Kröner more than expected).

Fields of papers citing papers by Dietmar Kröner

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Dietmar 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 Dietmar Kröner. The network helps show where Dietmar Kröner may publish in the future.

Co-authorship network of co-authors of Dietmar Kröner

This figure shows the co-authorship network connecting the top 25 collaborators of Dietmar Kröner. A scholar is included among the top collaborators of Dietmar 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 Dietmar Kröner. Dietmar Kröner is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Kröner, Dietmar, et al.. (2016). On the dynamics of molecular self-assembly and the structural analysis of bilayer membranes using coarse-grained molecular dynamics simulations. Biochimica et Biophysica Acta (BBA) - Biomembranes. 1858(9). 1955–1963. 13 indexed citations

Kröner, Dietmar & Mirko Rokyta. (2016). A priori error estimates for upwind finite volume schemes for two-dimensional linear convection diffusion problems. Bulletin of the Brazilian Mathematical Society New Series. 47(2). 473–488. 1 indexed citations

Kröner, Dietmar, et al.. (2015). Numerical solution of Navier–Stokes–Korteweg systems by Local Discontinuous Galerkin methods in multiple space dimensions. Applied Mathematics and Computation. 272. 309–335. 23 indexed citations

Kröner, Dietmar, et al.. (2014). Local discontinuous Galerkin numerical solutions of non-Newtonian incompressible flows modeled by p-Navier–Stokes equations. Journal of Computational Physics. 270. 182–202. 8 indexed citations

Thanh, Mai Duc, Dietmar Kröner, & Christophe Chalons. (2012). A robust numerical method for approximating solutions of a model of two-phase flows and its properties. Applied Mathematics and Computation. 219(1). 320–344. 17 indexed citations

Kraus, Christiane, et al.. (2011). Interface conditions for limits of the Navier–Stokes–Korteweg model. Interfaces and Free Boundaries Mathematical Analysis Computation and Applications. 13(2). 239–254. 7 indexed citations

Thanh, Mai Duc, Dietmar Kröner, & Nguyen Thanh Hoai Nam. (2011). Numerical approximation for a Baer–Nunziato model of two-phase flows. Applied Numerical Mathematics. 61(5). 702–721. 21 indexed citations

Nagel, Wolfgang E., Dietmar Kröner, & Michael Resch. (2010). High Performance Computing in Science and Engineering '10. CERN Document Server (European Organization for Nuclear Research). 51 indexed citations

Dafermos, Constantine M., Dietmar Kröner, & Randall J. LeVeque. (2009). Hyperbolic Conservation Laws. Oberwolfach Reports. 5(4). 3139–3200. 111 indexed citations

10.

Kröner, Dietmar, Philippe G. LeFloch, & Mai Duc Thanh. (2008). The minimum entropy principle for compressible fluid flows in a nozzle with discontinuous cross-section. ESAIM Mathematical Modelling and Numerical Analysis. 42(3). 425–442. 35 indexed citations

11.

Besse, Nicolas & Dietmar Kröner. (2005). Convergence of locally divergence-free discontinuous-Galerkin methods for the induction equations of the 2D-MHD system. ESAIM Mathematical Modelling and Numerical Analysis. 39(6). 1177–1202. 13 indexed citations

12.

Klöfkorn, Robert, Dietmar Kröner, & Mario Ohlberger. (2002). Local adaptive methods for convection dominated problems. International Journal for Numerical Methods in Fluids. 40(1-2). 79–91. 16 indexed citations

13.

Kröner, Dietmar, et al.. (1999). An introduction to recent developments in theory and numerics for conservation laws : proceedings of the International School on Theory and Numerics for Conservation Laws, Freiburg/Littenweiler, October 20-24, 1997. Springer eBooks. 4 indexed citations

14.

Kröner, Dietmar, Mario Ohlberger, & Christian Rohde. (1999). An Introduction to Recent Developments in Theory and Numerics for Conservation Laws. CERN Document Server (European Organization for Nuclear Research). 104 indexed citations

15.

Kröner, Dietmar & Mario Ohlberger. (1999). A posteriori error estimates for upwind finite volume schemes for nonlinear conservation laws in multi dimensions. Mathematics of Computation. 69(229). 25–40. 71 indexed citations

16.

Kröner, Dietmar. (1997). Numerical schemes for conservation laws. 247 indexed citations

17.

Kröner, Dietmar & Wojciech M. Zajączkowski. (1996). Measure‐valued Solutions of the Euler Equations for Ideal Compressible Polytropic Fluids. Mathematical Methods in the Applied Sciences. 19(3). 235–252. 1 indexed citations

18.

Kröner, Dietmar & Wojciech M. Zajączkowski. (1996). Measure-valued Solutions of the Euler Equations for Ideal Compressible Polytropic Fluids. Mathematical Methods in the Applied Sciences. 19(3). 235–252. 15 indexed citations

19.

Kröner, Dietmar & Mirko Rokyta. (1994). Convergence of Upwind Finite Volume Schemes for Scalar Conservation Laws in Two Dimensions. SIAM Journal on Numerical Analysis. 31(2). 324–343. 39 indexed citations

20.

Gilardi, Gianni & Dietmar Kröner. (1993). The dam problem in unbounded domains. Annali di Matematica Pura ed Applicata (1923 -). 164(1). 321–364. 3 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.

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