• 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

    Supervisor

  • CV

    Education

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

    Positions

    since
    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 – Westfälische Wilhelms-Universität Münster
    Stipendium – e-fellows.net

  • Teaching

    • Praktikum: Introduction to Programming with C++ [106231]
    • Seminar: Master Seminar Applied Mathematics [108046]
      (in cooperation with Prof. Dr. Mario Ohlberger)
    • Vorlesung: Numerical multiscale methods and model reduction [108037]
      (in cooperation with Prof. Dr. Mario Ohlberger)
    • Seminar: Master Seminar Efficient Numerical Methods with Applications to Biology and Medicine [104223]
      (in cooperation with Prof. Dr. Mario Ohlberger)
    • Seminar: Bachelor Seminar: Efficient Numerical Methods with Applications to Biology and Medicine [104504]
      (in cooperation with Prof. Dr. Mario Ohlberger)
    • Übung: Lab Course: Model Order Reduction for Partial Differential Equations [102162]
      (in cooperation with Julia Brunken)
    • Vorlesung: Model Reduction for Parametrised Partial Differential Equations [102399]
    • Seminar: Biomedical Modellling and Model Reduction [104860]
      (in cooperation with Dr. Felix Schindler, Prof. Dr. Mario Ohlberger)
    • Seminar: Other Courses [100948]
      (in cooperation with Prof. Dr. Christian Engwer, Prof. Dr. Mario Ohlberger)
    • Praktikum: Introduction to Programming with MATLab [103585]
      (in cooperation with Prof. Dr. Mario Ohlberger)
    • Übung: Tutorial Numerical Analysis [101244]
      (in cooperation with Dr. Christian Himpe, Prof. Dr. Mario Ohlberger)
    • Praktikum: Introduction to Programming with MATLab [101297]
      (in cooperation with Dr. Stephan Rave, Prof. Dr. Mario Ohlberger)
    • Seminar: Bachelor Seminar: Applied Mathematics [101263]
      (in cooperation with Prof. Dr. Christian Engwer, Prof. Dr. Mario Ohlberger, Dr. Frank Wübbeling)
    • Seminar: Modern Methods in Non linear Analysis [102238]
      (in cooperation with Prof. Dr. Angela Stevens)
    • Praktikum: Introduction to Programming with MATLab [102640]
      (in cooperation with Prof. Dr. Mario Ohlberger)
    • Seminar: Model Reduction [102689]
      (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)
    • Übung: Übungen zu den Partiellen Differentialgleichungen [100259]
      (in cooperation with Prof. Dr. Christopher Deninger)
    • Doktorandenseminar: 1.3.1 First academic year [102744]
      (in cooperation with Prof. Dr. Mario Ohlberger)
    • Seminar: Modellreduktion für partielle Differentialgleichungen [102282]
      (in cooperation with Prof. Dr. Mario Ohlberger)
    • Übung: Übung zur Numerik partieller Differentialgleichungen [102260]
      (in cooperation with Prof. Dr. Mario Ohlberger)
    • Seminar: BSc Biosciences [102289]
      (in cooperation with Prof. Dr. Mario Ohlberger)
    • Übung: Übung zu Numerik partieller Differentialgleichungen I [102295]
      (in cooperation with Prof. Dr. Mario Ohlberger)
    • Seminar: Modellierung und Simulation [102314]
      (in cooperation with Prof. Dr. Mario Ohlberger)

  • 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, .