Publications

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Journal Article (3)

  1. Journal Article
    Hess, M. W.; Grundel, S.; Benner, P.: Estimating the Inf-Sup Constant in Reduced Basis Methods for Time-Harmonic Maxwell's Equations. IEEE Transactions on Microwave Theory and Techniques 63 (11), pp. 3549 - 3557 (2015)
  2. Journal Article
    Hess, M. W.; Benner, P.: A Reduced Basis Method for Microwave Semiconductor Devices with Geometric Variations. COMPEL - The international journal for computation and mathematics in electrical and electronic engineering 33 (4), pp. 1071 - 1081 (2014)
  3. Journal Article
    Hess, M. W.; Benner, P.: Fast Evaluation of Time-Harmonic Maxwell's Equations Using the Reduced Basis Method. IEEE Transactions on Microwave Theory and Techniques 61 (6), pp. 2265 - 2274 (2013)

Book Chapter (3)

  1. Book Chapter
    Benner, P.; Hess, M. W.: Reduced Basis Approximations for Maxwell’s Equations in Dispersive Media. In: Model Reduction of Parametrized Systems, pp. 107 - 119 (Eds. Benner, P.; Ohlberger, M.; Patera, A.; Rozza, G.; Urban, K.). Springer, Cham, Switzerland (2017)
  2. Book Chapter
    Benner, P.; Hess, M. W.: Reduced Basis Modeling for Uncertainty Quantification of Electromagnetic Problems in Stochastically Varying Domain. In: Scientific Computing in Electrical Engineering, pp. 215 - 222 (Eds. Bartel, A.; Clemens, M.; Günther, M.; ter Maten, E. J. W.). Springer, Cham (2016)
  3. Book Chapter
    Hess, M. W.; Benner, P.: Output Error Estimates in Reduced Basis Methods for Time-Harmonic Maxwell's Equations. In: Numerical Mathematics and Advanced Applications - ENUMATH 2015, pp. 351 - 358 (Eds. Karasözen, B.; Manguoglu, M.; Tezer ‐ Sezgin, M.; Göktepe, S.; Ugur, Ö.). Springer International Publishing, Cham (2016)

Conference Paper (3)

  1. Conference Paper
    Kweyu, C. M.; Hess, M. W.; Feng, L.; Stein, M.; Benner, P.: Reduced Basis Method for Poisson-Boltzmann Equation. In: Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering: Volume II, pp. 4187 - 4195 (Eds. Papadrakakis, M.; Papadopoulos, V.; Stefanou, G.; Plevris, V.). VII European Congress on Computational Methods in Applied Sciences and Engineering, Crete Island, Greece, June 05, 2016 - June 10, 2016. National Technical University of Athens (NTUA), Athens, Greece (2016)
  2. Conference Paper
    Hess, M. W.; Benner, P.: Reduced Basis Generation for Maxwell’s Equations by Rigorous Error Estimation. In: Proceedings of the 19th International Conference on the Computation of Electromagnetic Fields (COMPUMAG 2013), p. PD2-10. 19th International Conference on the Computation of Electromagnetic Fields (COMPUMAG 2013), Budapest, Hungary, June 30, 2013 - July 04, 2013. (2013)
  3. Conference Paper
    Benner, P.; Hess, M. W.: The Reduced Basis Method for Time-Harmonic Maxwell´s Equations. 83rd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Darmstadt, March 26, 2012 - March 30, 2012. Proceedings in Applied Mathematics and Mechanics 12 (1), pp. 661 - 662 (2012)

Talk (2)

  1. Talk
    Kweyu, C. M.; Hess, M. W.; Feng, L.; Stein, M.; Benner, P.: Reduced Basis Method for Poisson-Boltzmann Equation. VII European Congress on Computational Methods in Applied Sciences and Engineering, Crete Island, Greece (2016)
  2. Talk
    Kweyu, C. M.; Hess, M. W.; Feng, L.; Stein, M.; Benner, P.: Reduced Basis Method for Poisson-Boltzmann Equation. Reduced Basis Summer School 2016, Hedersleben, Germany (2016)

Thesis - PhD (1)

  1. Thesis - PhD
    Hess, M. W.: Reduced Basis Approximations for Electromagnetic Applications. Dissertation, 169 pp., Otto-von-Guericke Universität, Magdeburg (2016)
 
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