• Doctoral Thesis

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

    Doctoral Subject
    Doctoral Degree
    Dr. rer. nat.
    Awarded by
    Department 10 – Mathematics and Computer Science
  • 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, 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, No. 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. Cham: 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, No. 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.