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dr. K. Smetana (Kathrin)

Assistant Professor

About Me

My research interests lie broadly in the areas of (probabilistic) numerical analysis and scientific computing. More precisely, my research focuses on the development and numerical analysis of multiscale, model order and dimension reduction methods and their application in engineering, computational earth sciences, and computational biology. Furthermore, I am advancing randomized methods used in data science and in compressed sensing for the approximation of partial differential equations (PDEs), including both the design of approximations and their probabilistic numerical analysis.

I am an Assistant Professor at the Department of Applied Mathematics at the University of Twente. Prior to that appointment I worked as a postdoctoral associate in the Group of Prof. Dr. Mario Ohlberger in the Department of Applied Mathematics at the University of Münster, Germany and in the Group of Prof. Dr. Anthony T. Patera in the Department of Mechanical Engineering at the Massachusetts Institute of Technology, United States. I completed my PhD in Mathematics from the University of Münster in 2013.

Research Interests:

  • Model Order Reduction
  • Randomized Methods
  • A posteriori and a priori error estimation
  • Domain decomposition methods/ special finite element methods/ multiscale methods
  • Concentration Inequalities
  • Scientific Computing
  • Computational earth sciences
  • Computational biology

Expertise

Approximation
Certification
Condensation
Tensors
Estimators
Partial Differential Equations

Organizations

Research

My research interests lie broadly in the areas of (probabilistic) numerical analysis and scientific computing. More precisely, my research focuses on the development and numerical analysis of multiscale, model order and dimension reduction methods and their application in engineering, computational earth sciences, and computational biology. Furthermore, I am advancing randomized methods used in data science and in compressed sensing for the approximation of partial differential equations (PDEs), including both the design of approximations and their probabilistic numerical analysis.

Research Interests:

  • Model Order Reduction
  • Randomized Methods
  • A posteriori and a priori error estimation
  • Domain decomposition methods/ special finite element methods/ multiscale methods
  • Concentration Inequalities
  • Scientific Computing
  • Computational earth sciences
  • Computational biology

Publications

Recent
Smetana, K. (2018). Static condensation optimal port/interface reduction and error estimation for structural health monitoring. arXiv.org.
Smetana, K., Zahm, O., & Patera, A. T. (2018). Randomized residual-based error estimators for parametrized equations. (-).
Brunken, J., Smetana, K., & Urban, K. (2018). (Parametrized) First Order Transport Equations: Realization of Optimally Stable Petrov-Galerkin Methods.
Buhr, A., & Smetana, K. (2018). Randomized local model order reduction. SIAM journal on scientific computing, 40(4), A2120-A2151. DOI: 10.1137/17M1138480
Smetana, K., & Ohlberger, M. (2017). Hierarchical model reduction of nonlinear partial differential equations based on the adaptive empirical projection method and reduced basis techniques. ESAIM: Modelisation Mathematique et Analyse Numerique, 51(2), 641-677. DOI: 10.1051/m2an/2016031
Ohlberger, M., & Smetana, K. (2016). Approximation of skewed interfaces with tensor-based model reduction procedures: Application to the reduced basis hierarchical model reduction approach. Journal of computational physics, 321, 1185-1205. DOI: 10.1016/j.jcp.2016.06.021
Smetana, K., & Patera, A. T. (2016). Optimal local approximation spaces for component-based static condensation procedures. SIAM journal on scientific computing, 38(5), A3318-A3356. DOI: https://doi.org/10.1137/15M1009603
Smetana, K. (2015). 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
Berninger, H., Ohlberger, M., Sander, O., & Smetana, K. (2014). Unsaturated subsurface flow with surface water and nonlinear in-and outflow conditions. Mathematical models & methods in applied sciences, 24(5), 901-936. DOI: 10.1142/S0218202513500711
Ohlberger, M., & Smetana, K. (2014). 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). DOI: 10.1137/130939122

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Visiting Address

University of Twente
Faculty of Electrical Engineering, Mathematics & Computer Science
Zilverling (building no. 11), room 3005
Hallenweg 19
7522NH  Enschede
The Netherlands

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Mailing Address

University of Twente
Faculty of Electrical Engineering, Mathematics & Computer Science
Zilverling  3005
P.O. Box 217
7500 AE Enschede
The Netherlands

Organizations

University of Twente Drienerlolaan 5
7522 NB Enschede
+31 (0)53 489 9111
info@utwente.nl
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