Doctoral AbstractThesis
Towards Automatic and Reliable Localized Model Order Reduction. Local Training, a Posteriori Error Estimation and Online Enrichment.
- Supervisors
- Doctoral Subject
- Mathematik
- Doctoral Degree
- Dr. rer. nat.
- Awarded by
- Department 10 – Mathematics and Computer Science
Teaching
- Seminar: Master-und Oberseminar zu effizienten numerischen Methoden [106383]
(in cooperation with Mario Ohlberger, Stephan Rave, Felix Schindler and Mira Schedensack)- Seminar: Masterseminar: Zufallsbasierte Algorithmen [106385]
(in cooperation with Mario Ohlberger and Stephan Rave)- Seminar: Master-und Oberseminar zu effizienten numerischen Methoden [104435]
(in cooperation with Stephan Rave, Barbara Verfürth, Felix Schindler and Mira Schedensack)- Seminar: Bachelorseminar Modellreduktion dynamischer Systeme [104438]
(in cooperation with Felix Schindler and Stephan Rave)- Seminar: Master-und Oberseminar zu effizienten numerischen Methoden [102385]
(in cooperation with Mario Ohlberger, Barbara Verfürth, Stephan Rave, Felix Schindler and Mira Schedensack)- Practice: Übungen zur Vorlesung Numerische Lineare Algebra [100382]
(in cooperation with Mario Ohlberger)- Practical/Seminar: Wissenschaftliches Rechnen / Interaktive Simulationen
(in cooperation with Christian Engwer)- Practical/Seminar: Wissenschaftliches Rechnen / Interaktive Simulationen [102684]
(in cooperation with Christian Engwer) - Seminar: Masterseminar: Zufallsbasierte Algorithmen [106385]
Project
- Derivation, analysis and validation of model reduction methods for the approximation of parameterized Maxwell equations ()
Individual Granted Project: CST AG
Publications
- Buhr, Andreas Iapichino Laura, Ohlberger, Mario Rave Stephan, and Schindler, Felix Smetana Kathrin. . “Localized model reduction for parameterized problems.” in Model Order Reduction: Volume 2 Snapshot-Based Methods and Algorithms, edited by P Benner, S Grivet-Talocia, A Quarteroni, G Rozza, W Schilders and L Sileira. doi: 10.1515/9783110671490-006.
- Ohlberger, M, Buhr, A, Eikhorn, D, Engwer, C, and Rave, S. . “Advances in Model Order Reduction for Large Scale or Multi-Scale Problems.” Oberwolfach Reports 16 (3): 2510–2512. doi: 10.4171/OWR/2019/40.
- Buhr, Andreas Smetana Kathrin. . “Randomized Local Model Order Reduction.” arXiv:1706.09179.
- Buhr, A, Engwer, C, Ohlberger, M, and Rave, S. . “ArbiLoMod: Local Solution Spaces by Random Training in Electrodynamics.” in Model Reduction of Parametrized Systems, Vol. 17 of MS&A (Modeling, Simulation and Applications), edited by P. Benner, M. Ohlberger, A. Patera, G. Rozza and K. Urban. Cham: Springer International Publishing. doi: 10.1007/978-3-319-58786-8_9.
- Buhr, A, Engwer, C, Ohlberger, M, and Rave, S. . “ArbiLoMod, a Simulation Technique Designed for Arbitrary Local Modifications.” SIAM Journal on Scientific Computing 39 (4): A1435–A1465.. doi: 10.1137/15M1054213.
- Buhr, A, and Ohlberger, M. . “Interactive Simulations Using Localized Reduced Basis Methods.” in IFAC-PapersOnLine, Vol. 48(1) doi: 10.1016/j.ifacol.2015.05.134.
- Buhr, A, Engwer, C, Ohlberger, M, and Rave, S. . “A Numerically Stable A Posteriori Error Estimator for Reduced Basis Approximations of Elliptic Equations.” in 11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014, edited by Onate XO E. and A Huerta. Barcelona: CIMNE.