• Promotion

    Towards Automatic and Reliable Localized Model Order Reduction. Local Training, a Posteriori Error Estimation and Online Enrichment.

    Betreuer
    Promotionsfach
    Mathematik
    Abschlussgrad
    Dr. rer. nat.
    Verleihender Fachbereich
    Fachbereich 10 – Mathematik und Informatik

  • Projekt

    • Entwicklung, Analyse und Validierung von Modellreduktionsverfahren zu Approximation parametrisierter Maxwell-Gleichungen ( – )
      Gefördertes Einzelprojekt: CST AG

  • Publikationen

    • Buhr Andreas, Iapichino Laura, Ohlberger Mario, Rave Stephan, Schindler Felix, Smetana Kathrin. . ‘Localized model reduction for parameterized problems.’ In Model Order Reduction: Volume 2 Snapshot-Based Methods and Algorithms, edited by Benner P, Grivet-Talocia S, Quarteroni A, Rozza G, Schilders W, Sileira L, 245–306. doi: 10.1515/9783110671490-006.
    • Ohlberger M, Buhr A, Eikhorn D, Engwer C, Rave S. . ‘Advances in Model Order Reduction for Large Scale or Multi-Scale Problems.’ Oberwolfach Reports 16, Nr. 3: 2510–2512. doi: 10.4171/OWR/2019/40.
    • Buhr Andreas, Smetana Kathrin. . Randomized Local Model Order Reduction : arXiv:1706.09179, . [submitted / under review]
    • Buhr A, Engwer C, Ohlberger M, Rave S. . ‘ArbiLoMod: Local Solution Spaces by Random Training in Electrodynamics.’ In Model Reduction of Parametrized Systems, edited by Benner P., Ohlberger M., Patera A., Rozza G., Urban K., 137–148. Basel : Springer International Publishing. doi: 10.1007/978-3-319-58786-8_9.
    • Buhr A, Engwer C, Ohlberger M, Rave S. . ‘ArbiLoMod, a Simulation Technique Designed for Arbitrary Local Modifications.’ SIAM Journal on Scientific Computing 39, Nr. 4: A1435–A1465. doi: 10.1137/15M1054213.
    • Buhr A, Ohlberger M. . ‘Interactive Simulations Using Localized Reduced Basis Methods.’ In IFAC-PapersOnLine, 729–730. doi: 10.1016/j.ifacol.2015.05.134.
    • Buhr A, Engwer C, Ohlberger M, 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 E. Onate XO, Huerta A, 4094–4102. Barcelona: CIMNE.