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Kathrin Smetana
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Optimal local approximation spaces for component-based static condensation procedures
K Smetana, AT Patera
SIAM J. Sci. Comput. 38 (5), A3318--A3356, 2016
512016
Randomized local model order reduction
A Buhr, K Smetana
SIAM journal on scientific computing 40 (4), A2120-A2151, 2018
372018
A new certification framework for the port reduced static condensation reduced basis element method
K Smetana
Computer methods in applied mechanics and engineering 283, 352-383, 2015
302015
(Parametrized) First Order Transport Equations: Realization of Optimally Stable Petrov--Galerkin Methods
J Brunken, K Smetana, K Urban
SIAM journal on scientific computing 41 (1), A592-A621, 2019
192019
Unsaturated subsurface flow with surface water and nonlinear in-and outflow conditions
H Berninger, M Ohlberger, O Sander, K Smetana
Mathematical Models and Methods in Applied Sciences 24 (5), 901--936, 2014
182014
A dimensional reduction approach based on the application of reduced basis methods in the framework of hierarchical model reduction
M Ohlberger, K Smetana
SIAM Journal on Scientific Computing 36 (2), A714-A736, 2014
18*2014
6 Localized model reduction for parameterized problems
A Buhr, L Iapichino, M Ohlberger, S Rave, F Schindler, K Smetana
Model Order Reduction: Volume 2 Snapshot-Based Methods and Algorithms, 245-306, 2020
162020
Randomized residual-based error estimators for parametrized equations
K Smetana, O Zahm, AT Patera
SIAM journal on scientific computing 41 (2), A900-A926, 2019
152019
Hierarchical model reduction of nonlinear partial differential equations based on the adaptive empirical projection method and reduced basis techniques
K Smetana, M Ohlberger
ESAIM: Mathematical Modelling and Numerical Analysis 51 (2), 641--677, 2017
112017
Problem adapted hierachical model reduction for the Fokker-Planck equation
J Brunken, T Leibner, M Ohlberger, K Smetana
ALGORITMY 2016 Proceedings of contributed papers and posters edited by …, 2016
82016
Randomized residual‐based error estimators for the proper generalized decomposition approximation of parametrized problems
K Smetana, O Zahm
International journal for numerical methods in engineering 121 (23), 5153-5177, 2020
62020
Optimal local approximation spaces for parabolic problems
J Schleuß, K Smetana
Multiscale Modeling & Simulation 20 (1), 551-582, 2022
42022
Approximation of skewed interfaces with tensor-based model reduction procedures: application to the reduced basis hierarchical model reduction approach
M Ohlberger, K Smetana
J. Comp. Phys. 321, 1185--1205, 2016
42016
A dimensional reduction approach based on the application of reduced basis methods in the context of hierarchical model reduction
K Smetana
Universitäts-und Landesbibliothek Münster, 2013
42013
Static condensation optimal port/interface reduction and error estimation for structural health monitoring
K Smetana
IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart …, 2020
32020
A new hierarchical model reduction-reduced basis technique for advection-diffusion-reaction problems
M Ohlberger, K Smetana
5th International Conference on Adaptive Modeling and Simulation, ADMOS 2011 …, 2012
32012
Adaptive modelling of coupled hydrological processes with application in water management
P Bastian, H Berninger, A Dedner, C Engwer, P Henning, R Kornhuber, ...
Progress in Industrial Mathematics at ECMI 2010, 561-567, 2012
32012
Stable and Efficient Petrov--Galerkin Methods for a Kinetic Fokker--Planck Equation
J Brunken, K Smetana
SIAM Journal on Numerical Analysis 60 (1), 157-179, 2022
22022
Randomized quasi-optimal local approximation spaces in time
J Schleuß, K Smetana, L ter Maat
arXiv preprint arXiv:2203.06276, 2022
2022
Localized model reduction for nonlinear elliptic partial differential equations: localized training, partition of unity, and adaptive enrichment
K Smetana, T Taddei
arXiv preprint arXiv:2202.09872, 2022
2022
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