Fachbereich Mathematik 
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Dr. Heiko Kröner

From August 1, 2019, I am postdoc in Professor Dr Paola Pozzi's DFG-project.
My new address is
Universität Duisburg-Essen
Fakultät für Mathematik
Thea-Leymann-Straße 9
45127 Essen
Temporary E-Mail: FirstName.kroener ( at ) uni-hamburg.de
E-Mail: FirstName.kroener ( at ) uni-due.de

Publications/Accepted papers

  • H. Kröner: A note on inverse mean curvature flow in cosmological spacetimes, Math. Nachr. 287, No. 2-3, 290-296 (2014)
  • H. Kröner: Approximative Green's functions on surfaces and pointwise error estimates for the finite element method, Comput. Methods Appl. Math. 17, No. 1, 51-64 (2017)
  • H. Kröner: Approximation rates for regularized level set power mean curvature flow, Port. Math. (N.S.) 74, No. 2, 115-126 (2017)
  • H. Kröner: Inverse curvature flows in asymptotically Robertson Walker spaces, J. Differ. Equations 264, No. 7, 4303-4342 (2018)
  • M. Herrmann, R. Herzog, H. Kröner, S. Schmidt and J. Vidal Núñez: Analysis and an Interior Point Approach for TV Image Reconstruction Problems on Smooth Surfaces, SIAM J. Imaging Sciences 11(2), 889-922 (2018)
  • H. Kröner: Non-collapsing in homogeneity greater than one via a two-point method for a special case, Proc. R. Soc. Edingb., Sect. A, Math., accepted
  • H. Kröner and J. Scheuer: Expansion of pinched hypersurfaces of the Euclidean and hyperbolic space by high powers of curvature, Math. Nachr., accepted
  • A. Kröner, E. Kröner and H. Kröner: Finite element approximation of level set motion by powers of the mean curvature, SIAM J. Sci. Comp., accepted
  • A. Ahmad Ali, M. Hinze and H. Kröner: Optimal control of elliptic surface PDEs with pointwise bounds on the state, IMA J. Numer. Anal., accepted
  • H. Kröner: A note on expansion of convex plane curves via inverse curvature flow, NoDEA, accepted
  • H. Kröner: Analysis of constants in error estimates for the finite element approximation of regularized nonlinear geometric evolution equations, SIAM J. Numer. Anal., accepted


Selected Workshops


  • First prize in the second round of the German national competition in mathematics for high school students (Bundeswettbewerb Mathematik)
  • 2005 to 2007: Scholarship of the German National Academic Foundation (Studienstiftung des Deutschen Volkes)
  • 2014: Postdoctoral Fellowship of the Weierstrass Institute for Applied Analysis and Stochastics (WIAS) in Berlin

  Seitenanfang  Impress 2019-08-31, Heiko Kröner