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Reduced Basis Methods for Maxwell's Equations

Investigation of Reduced Basis Methods in the context of the MoreSim4Nano project.




Project director:
  • Prof. Dr. Peter Benner
    Max Planck Institute for Dynamics of Complex Technical Systems Magdeburg,
    Computational Methods in Systems and Control Group, Sandtorstr. 1, 39106 Magdeburg, Germany
    Tel: +49 (0)391-6110-451
    E-mail: benner@mpi-mgdeburg.mpg.de
Researcher:
  • Martin Hess
    Max Planck Institute for Dynamics of Complex Technical Systems Magdeburg,
    Computational Methods in Systems and Control Group,
    Tel: +49 (0)391-6110-807
    E-mail: hessm@mpi-magdeburg.mpg.de
Duration: since January 2011

Project description:
Parametric Model Order Reduction (PMOR) techniques are required in many-query and real-time scenarios, like uncertainty quantification for instance. The Reduced Basis Method as a PMOR technique is applied to problems arising from electromagnetic field simulations of semiconductor structures under the variation of frequency, geometry (e.g. feature size width) and material parameters (e.g. permittivity, permeability). The modeling and simulation of the EM-field problems is a part of the MoreSim4Nano project, which is also present in the CSC group.
In the context of EM-field problems, the following topics within the Reduced Basis Method are adressed:
  • large parameter spaces
  • construction of parameter-affine forms
  • error estimation of inf-sup stable problems
  • application of the successive constraint method to problems exhibiting resonances




  • MoRePas3

    Events: Third Workshop on Model Reduction of Parametrized Systems


    October 1st, 2015
    The third workshop on Model Reduction of Parametrized Systems - MoRePaS 2015 - is taking place in Trieste, October 13-16, 2015. The workshop is co-organized by Peter Benner who is a member of the MoRePaS Executive Committee. The CSC group participates with talks given by Pawan Goyal and Alexander Zuyev as well as with posters presented by Martin Hess, Jan Heiland, Nicodemus Banagaaya, and Peter Benner.
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    Martin Heß, hessm@mpi-magdeburg.mpg.de