Landstorfer, M.; Ohlberger, M.; Rave, S.; Tacke, M. A modelling framework for efficient reduced order simulations of parametrised lithium-ion battery cells. (English) Zbl 1515.78032 Eur. J. Appl. Math. 34, No. 3, 554-591 (2023). MSC: 78A57 49M37 35Q92 34B15 65K05 PDFBibTeX XMLCite \textit{M. Landstorfer} et al., Eur. J. Appl. Math. 34, No. 3, 554--591 (2023; Zbl 1515.78032) Full Text: DOI arXiv
Kleikamp, Hendrik; Ohlberger, Mario; Rave, Stephan Nonlinear Model Order Reduction using Diffeomorphic Transformations of a Space-Time Domain. arXiv:2203.05833 Preprint, arXiv:2203.05833 [math.NA] (2022). MSC: 35L60 35B06 BibTeX Cite \textit{H. Kleikamp} et al., ``Nonlinear Model Order Reduction using Diffeomorphic Transformations of a Space-Time Domain'', Preprint, arXiv:2203.05833 [math.NA] (2022) Full Text: arXiv OA License
Buhr, Andreas; Iapichino, Laura; Ohlberger, Mario; Rave, Stephan; Schindler, Felix; Smetana, Kathrin Localized model reduction for parameterized problems. (English) Zbl 1523.65091 Benner, Peter (ed.) et al., Model order reduction. Volume 2: Snapshot-based methods and algorithms. Berlin: De Gruyter. 245-305 (2021). MSC: 65N30 65N55 65N15 35J20 35J25 65Y15 PDFBibTeX XMLCite \textit{A. Buhr} et al., in: Model order reduction. Volume 2: Snapshot-based methods and algorithms. Berlin: De Gruyter. 245--305 (2021; Zbl 1523.65091) Full Text: DOI arXiv
Leibner, Tobias; Matis, Maja; Ohlberger, Mario; Rave, Stephan Distributed model order reduction of a model for microtubule-based cell polarization using HAPOD. arXiv:2111.00129 Preprint, arXiv:2111.00129 [math.NA] (2021). BibTeX Cite \textit{T. Leibner} et al., ``Distributed model order reduction of a model for microtubule-based cell polarization using HAPOD'', Preprint, arXiv:2111.00129 [math.NA] (2021) Full Text: arXiv OA License
Ohlberger, Mario; Rave, Stephan Localized reduced basis approximation of a nonlinear finite volume battery model with resolved electrode geometry. (English) Zbl 1388.78013 Benner, Peter (ed.) et al., Model reduction of parametrized systems. Selected contributions based on the presentations at the MoRePaS conference, SISSA, Trieste, Italy, October 13–16, 2015. Cham: Springer (ISBN 978-3-319-58785-1/hbk; 978-3-319-58786-8/ebook). MS&A. Modeling, Simulation and Applications 17, 201-212 (2017). MSC: 78M12 78M34 78A57 65H10 65N30 PDFBibTeX XMLCite \textit{M. Ohlberger} and \textit{S. Rave}, MS\&A, Model. Simul. Appl. 17, 201--212 (2017; Zbl 1388.78013) Full Text: DOI arXiv
Ohlberger, Mario; Rave, Stephan; Schindler, Felix True error control for the localized reduced basis method for parabolic problems. (English) Zbl 1448.65170 Benner, Peter (ed.) et al., Model reduction of parametrized systems. Selected contributions based on the presentations at the MoRePaS conference, SISSA, Trieste, Italy, October 13–16, 2015. Cham: Springer. MS&A, Model. Simul. Appl. 17, 169-182 (2017). MSC: 65M60 65M15 65M50 65M06 65J08 PDFBibTeX XMLCite \textit{M. Ohlberger} et al., MS\&A, Model. Simul. Appl. 17, 169--182 (2017; Zbl 1448.65170) Full Text: DOI arXiv
Buhr, Andreas; Engwer, Christian; Ohlberger, Mario; Rave, Stephan ArbiLoMod: local solution spaces by random training in electrodynamics. (English) Zbl 1388.78019 Benner, Peter (ed.) et al., Model reduction of parametrized systems. Selected contributions based on the presentations at the MoRePaS conference, SISSA, Trieste, Italy, October 13–16, 2015. Cham: Springer (ISBN 978-3-319-58785-1/hbk; 978-3-319-58786-8/ebook). MS&A. Modeling, Simulation and Applications 17, 137-148 (2017). MSC: 78M34 78M10 78A25 35Q60 35R09 PDFBibTeX XMLCite \textit{A. Buhr} et al., MS\&A, Model. Simul. Appl. 17, 137--148 (2017; Zbl 1388.78019) Full Text: DOI arXiv
Buhr, Andreas; Engwer, Christian; Ohlberger, Mario; Rave, Stephan ArbiLoMod, a simulation technique designed for arbitrary local modifications. (English) Zbl 1369.65160 SIAM J. Sci. Comput. 39, No. 4, A1435-A1465 (2017). MSC: 65N55 65N30 PDFBibTeX XMLCite \textit{A. Buhr} et al., SIAM J. Sci. Comput. 39, No. 4, A1435--A1465 (2017; Zbl 1369.65160) Full Text: DOI arXiv
Feinauer, Julian; Hein, Simon; Rave, Stephan; Schmidt, Sebastian; Westhoff, Daniel; Zausch, Jochen; Iliev, Oleg; Latz, Arnulf; Ohlberger, Mario; Schmidt, Volker MULTIBAT: Unified workflow for fast electrochemical 3D simulations of lithium-ion cells combining virtual stochastic microstructures, electrochemical degradation models and model order reduction. arXiv:1704.04139 Preprint, arXiv:1704.04139 [math.NA] (2017). BibTeX Cite \textit{J. Feinauer} et al., ``MULTIBAT: Unified workflow for fast electrochemical 3D simulations of lithium-ion cells combining virtual stochastic microstructures, electrochemical degradation models and model order reduction'', Preprint, arXiv:1704.04139 [math.NA] (2017) Full Text: DOI arXiv OA License
Ohlberger, Mario; Rave, Stephan; Schindler, Felix Model reduction for multiscale lithium-ion battery simulation. (English) Zbl 1355.78031 Karasözen, Bülent (ed.) et al., Numerical mathematics and advanced applications – ENUMATH 2015. Selected papers based on the presentations at the European conference, Ankara, Turkey, September 14–18, 2015. Cham: Springer (ISBN 978-3-319-39927-0/hbk; 978-3-319-39929-4/ebook). Lecture Notes in Computational Science and Engineering 112, 317-331 (2016). MSC: 78A57 78M34 78M12 35K57 80A20 78M20 PDFBibTeX XMLCite \textit{M. Ohlberger} et al., Lect. Notes Comput. Sci. Eng. 112, 317--331 (2016; Zbl 1355.78031) Full Text: DOI arXiv
Ohlberger, Mario; Rave, Stephan Reduced Basis Methods: Success, Limitations and Future Challenges. arXiv:1511.02021 Preprint, arXiv:1511.02021 [math.NA] (2015). MSC: 41A45 41A46 41A65 65M60 65N30 BibTeX Cite \textit{M. Ohlberger} and \textit{S. Rave}, ``Reduced Basis Methods: Success, Limitations and Future Challenges'', Preprint, arXiv:1511.02021 [math.NA] (2015) Full Text: arXiv OA License
Ohlberger, Mario; Rave, Stephan; Schmidt, Sebastian; Zhang, Shiquan A model reduction framework for efficient simulation of Li-Ion batteries. (English) Zbl 1327.78021 Fuhrmann, Jürgen (ed.) et al., Finite volumes for complex applications VII – elliptic, parabolic and hyperbolic problems. Proceedings of the FVCA 7, Berlin, Germany, June 15–20, 2014. Vol. II. Cham: Springer (ISBN 978-3-319-05590-9/hbk; 978-3-319-05591-6/ebook; 978-3-319-06402-4/set). Springer Proceedings in Mathematics & Statistics 78, 695-702 (2014). MSC: 78M12 78A57 78M34 PDFBibTeX XMLCite \textit{M. Ohlberger} et al., Springer Proc. Math. Stat. 78, 695--702 (2014; Zbl 1327.78021) Full Text: DOI arXiv
Buhr, Andreas; Engwer, Christian; Ohlberger, Mario; Rave, Stephan A numerically stable a posteriori error estimator for reduced basis approximations of elliptic equations. arXiv:1407.8005 Preprint, arXiv:1407.8005 [math.NA] (2014). BibTeX Cite \textit{A. Buhr} et al., ``A numerically stable a posteriori error estimator for reduced basis approximations of elliptic equations'', Preprint, arXiv:1407.8005 [math.NA] (2014) Full Text: arXiv OA License
Ohlberger, Mario; Rave, Stephan Nonlinear reduced basis approximation of parameterized evolution equations via the method of freezing. (Approximation non linéaire utilisant des bases réduites d’équations d’évolution paramétrées par une méthode de figeage.) (English. Abridged French version) Zbl 1281.65117 C. R., Math., Acad. Sci. Paris 351, No. 23-24, 901-906 (2013). MSC: 65M08 35Q53 PDFBibTeX XMLCite \textit{M. Ohlberger} and \textit{S. Rave}, C. R., Math., Acad. Sci. Paris 351, No. 23--24, 901--906 (2013; Zbl 1281.65117) Full Text: DOI arXiv