• Research Areas

    • A priori error estimates
    • Adaptive and Hierarchical Model Reduction
    • A posteriori error estimates
    • Scientific Computing
    • Domain Decomposition Methods
    • Solid Mechanics
    • Surface and subsurface flow
  • Doctoral Thesis

    A dimensional reduction approach based on the application of reduced basis methods in the context of hierarchical model reduction

  • CV


    PhD in Mathematics, University of Münster
    Studium im Fach Mathematik mit Nebenfach Wissenschaftliche Politik an der Albert-Ludwigs-Universität Freiburg


    Assistant Professor, Department of Applied Mathematics, University of Twente, Netherlands
    Postdoctoral Research and Teaching Associate, Institute for Computational and Applied Mathematics, University of Münster
    Postdoctoral Research Associate, Department of Mechanical Engineering, Massachusetts Institute of Technology, USA
    Teaching and Research Assistant, Institute for Computational and Applied Mathematics, University of Münster


    Erstklassig! WWU Mentoring-Programm für Wissenschaftlerinnen – Westfälische Wilhelms-Universität Münster
    Stipendium – e-fellows.net
  • Teaching

  • Projects

    • AdaptHydroMod - Co-operative Project "Adaptive hydrological modeling with application in water resource management", Sub-project "Multi-scale modelling and system reduction for ground water flow" ( - )
      Participation in BMBF-joint project: Federal Ministry of Education and Research | Project Number: 03OMPAF1
  • Publications

    • Smetana K, Ohlberger M. . ‘Hierarchical model reduction of nonlinear partial differential equations based on the adaptive empirical projection method and reduced basis techniques.’ M2AN Math. Model. Numer. Anal. 51, No. 2: 641–677. doi: 10.1051/m2an/2016031.
    • Buhr Andreas, Smetana Kathrin. . Randomized Local Model Order Reduction : arXiv:1706.09179, . [submitted / under review]

    • Ohlberger M, Smetana K. . ‘Approximation of skewed interfaces with tensor-based model reduction procedures: application to the reduced basis hierarchical model reduction approach.’ J. Comp. Phys. 321: 1185–1205. doi: 10.1016/j.jcp.2016.06.021.
    • Smetana Kathrin, Patera Anthony T. . ‘Optimal local approximation spaces for component-based static condensation procedures.’ SIAM J. Sci. Comput. 38, No. 5: A3318––A3356. doi: 10.1137/15M1009603.
    • Brunken Julia, Leibner Tobias, Ohlberger Mario, Smetana Kathrin. . ‘Problem adapted hierachical model reduction for the Fokker-Planck equation.’ In ALGORITMY 2016 Proceedings of contributed papers and posters, edited by Handlovicova Angela, Sevcovic Daniel, 13–22. Bratislava: Slovak University of Technology in Bratislava.

    • Ohlberger Mario, Smetana Kathrin. . ‘A Dimensional Reduction Approach Based on the Application of Reduced Basis Methods in the Framework of Hierarchical Model Reduction.’ Oberwolfach Reports 2/2015: 141–144. doi: 10.4171/OWR/2015/2.
    • Smetana Kathrin. . ‘A new certification framework for the port reduced static condensation reduced basis element method.’ Computer Methods in Applied Mechanics and Engineering 283: 352–383. doi: 10.1016/j.cma.2014.09.020.

    • Ohlberger M, Smetana K. . ‘A Dimensional Reduction Approach Based on the Application of Reduced Basis Methods in the Framework of Hierarchical Model Reduction.’ SIAM Journal on Scientific Computing 36, No. 2: A714–A736. doi: 10.1137/130939122.
    • Berninger H, Ohlberger M, Sander O, Smetana K. . ‘Unsaturated subsurface flow with surface water and nonlinear in- and outflow conditions.’ Math. Models and Methods in Appl. Sciences 24, No. 5: 901–936. doi: 10.1142/S0218202513500711.

    • Bastian P, Berninger H, Dedner A, Engwer C, Henning P, Kornhuber R, Kröner D, Ohlberger M, Sander O, Schiffler G, Shokina N, Smetana K. . ‘Adaptive Modelling of Coupled Hydrological Processes with Application in Water Management.’ In Progress in Industrial Mathematics at ECMI 2010, 561––567.: Springer,. doi: 10.1007/978-3-642-25100-9_65.

    • Ohlberger M, Smetana K. . ‘A new Hierarchical Model Reduction-Reduced Basis technique for advection-diffusion-reaction problems.’ In Proceedings of the V International Conference on Adaptive Modeling and Simulation (ADMOS 2011) held in Paris, France, 6-8 June 2011, edited by Aubry D. et al., 343–354.: International Center for Numerical Methods in Engineering (CIMNE), Barcelona.
  • Promotion

    Brunken, JuliaStable and efficient Petrov-Galerkin methods for certain (kinetic) transport equations
  • Talks

    • Smetana, Kathrin (): ‘Localized Model Order Reduction’. Absolventenseminar Numerical Mathematics University of Ulm, University of Ulm, Ulm, Germany, .
    • Smetana, Kathrin (): ‘A Posteriori Error Estimation for Localized Model Order Reduction’. WCCM XII and APCOM VI. Minisymposium: A Posteriori Estimation and Adaptive Control of Discretization and Modeling Errors in Computational Sciences and Engineering (J. Lang, S. Prudhomme, K. Van der Zee), Seoul, South Korea, .
    • Smetana, Kathrin (): ‘Efficient approximation of optimal local approximation spaces for localized model order reduction’. ECCOMAS Congress 2016. Minisymposium: Reduced Basis, POD and PGD Model Order Reduction Techniques (F. Chinesta, E. Cueto, A. Huerta, P. Ladeveze, G. Rozza), Crete Island, Greece, .
    • Smetana, Kathrin (): ‘Localized Model Order Reduction’. Seminar Numerische Mathematik und Mechanik, University of Cologne, Cologne, Germany, .
    • Smetana, Kathrin (): ‘Optimal Local Approximation Spaces for Component-based Static Condensation Procedures’. Joint annual meeting of GAMM and DMV 2016, Braunschweig, Germany, .
    • Smetana, Kathrin (): ‘Localized Model Order Reduction’. Seminar Applied Mathematics Münster, University of Münster, Münster, Germany, .