Expertise
Partial Differential Equations
Condensation
Model Reduction
Approximation Space
Hierarchical Model
Local Approximation
Experiments
Partial Differential Equation
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Recent
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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University of Twente
Faculty of Electrical Engineering, Mathematics & Computer Science
Zilverling
P.O. Box 217
7500 AE Enschede
The Netherlands