Dr. Kathrin Smetana

Professorship of Applied Mathematics, especially Numerics (Prof. Ohlberger)
Dr. Kathrin Smetana

Einsteinstr. 62, room 120.026
48149 Münster

T: +49 251 83-35141
F: +49 251 83-32729

Academic Profiles:

  • Research Foci

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

  • Doctoral AbstractThesis

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

    Supervisor
    Professor Dr. Mario Ohlberger
    Doctoral Subject
    Mathematik
    Doctoral Degree
    Dr. rer. nat.
    Awarded by
    Department 10 – Mathematics and Computer Science

  • CV

    Academic Education

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

    Positions

    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

    Honors

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

  • Teaching

    • Vorlesung: Numerische Mehrskalenmethoden und Modellreduktion [108037]
      (in cooperation with Prof. Dr. Mario Ohlberger)
    • Seminar: Masterseminar: Numerische Mathematik in den Lebenswissenschaften [108046]
      (in cooperation with Prof. Dr. Mario Ohlberger)
    • Praktikum: Einführung in die Programmierung mit C++ [106231]
    • Seminar: Bachelorseminar: Effiziente numerische Methoden mit Anwendungen in der Biologie und Medizin [104504]
      (in cooperation with Prof. Dr. Mario Ohlberger)
    • Seminar: Masterseminar: Effiziente numerische Methoden mit Anwendungen in der Biologie und Medizin [104223]
      (in cooperation with Prof. Dr. Mario Ohlberger)
    • Vorlesung: Modellreduktion für partielle Differentialgleichungen [102399]
    • Praktikum zur Modellreduktion für Partielle Differentialgleichungen [102162]
      (in cooperation with Julia Brunken)
    • Seminar: Biomedizinische Modellierung und Modellreduktion [104860]
      (in cooperation with Dr. Felix Schindler, Prof. Dr. Mario Ohlberger)
    • Seminar: Biomedizinische Modellierung und Modellreduktion [100948]
      (in cooperation with Prof. Dr. Christian Engwer, Prof. Dr. Mario Ohlberger)
    • Praktikum: Einführung in die Programmierung mit MATLab [103585]
      (in cooperation with Prof. Dr. Mario Ohlberger)
    • Seminar: Bachelorseminar: Angewandte Mathematik [101263]
      (in cooperation with Prof. Dr. Christian Engwer, Prof. Dr. Mario Ohlberger, Dr. Frank Wübbeling)
    • Praktikum: Einführung in die Programmierung mit MATLab [101297]
      (in cooperation with Dr. Stephan Rave, Prof. Dr. Mario Ohlberger)
    • Übungen zur Numerischen Analysis [101244]
      (in cooperation with Dr. Christian Himpe, Prof. Dr. Mario Ohlberger)
    • Seminar: Moderne Methoden der Nichtlinearen Analysis [102238]
      (in cooperation with Prof. Dr. Angela Stevens)
    • Seminar: Modellreduktion [102689]
      (in cooperation with Prof. Dr. Mario Ohlberger)
    • Praktikum: Einführung in die Programmierung mit MATLab [102640]
      (in cooperation with Prof. Dr. Mario Ohlberger)
    • Seminar: Diplomandenseminar: Numerik partieller Differentialgleichungen [102695]
      (in cooperation with Prof. Dr. Mario Ohlberger)
    • Seminar: Bachelorseminar: Angewandte Mathematik [102676]
      (in cooperation with Prof. Dr. Mario Ohlberger)
    • Doktorandenseminar: Gebietszerlegungsmethoden [102744]
      (in cooperation with Prof. Dr. Mario Ohlberger)
    • Übungen zu den Partiellen Differentialgleichungen [100259]
      (in cooperation with Prof. Dr. Christopher Deninger)

  • Project

    • 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 Federally Funded Joint Project: Federal Ministry of Research, Technology and Space | Project Number: 03OMPAF1

  • Publications

    Selection

    • . . “Optimal local approximation spaces for component-based static condensation procedures.” SIAM J. Sci. Comput., № 38 (5): A3318––A3356. doi: 10.1137/15M1009603.

    • . . “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.

    • , and . . “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 (2): A714–A736. doi: 10.1137/130939122.

    Complete List

    • , and . . “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 (2): 641–677. doi: 10.1051/m2an/2016031.
    • . . “Randomized Local Model Order Reduction.” arXiv:1706.09179.

    • . . “Optimal local approximation spaces for component-based static condensation procedures.” SIAM J. Sci. Comput., № 38 (5): A3318––A3356. doi: 10.1137/15M1009603.
    • , and . . “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.
    • , and . . “Problem adapted hierachical model reduction for the Fokker-Planck equation.” in ALGORITMY 2016 Proceedings of contributed papers and posters, edited by Angela Handlovicova and Daniel Sevcovic. Bratislava: Publishing House of Slovak University of Technology.

    • . . “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.
    • . . “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.

    • , and . . “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 (2): A714–A736. doi: 10.1137/130939122.
    • , , , and . . “Unsaturated subsurface flow with surface water and nonlinear in- and outflow conditions.” Math. Models and Methods in Appl. Sciences, № 24 (5): 901–936. doi: 10.1142/S0218202513500711.

    • , , , , , , , , , , , and . . “Adaptive Modelling of Coupled Hydrological Processes with Application in Water Management.” in Progress in Industrial Mathematics at ECMI 2010, Vol. 17 of Mathematics in Industry, Heidelberg: Springer. doi: 10.1007/978-3-642-25100-9_65.

    • , and . . “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.. Barcelona: CIMNE.

  • Supervised Doctoral Study

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

  • Scientific 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, .