A reduced basis method for microwave semiconductor devices with geometric variations

• Martin W. Hess ^[1] ; Peter Benner ^[1]
  1. [1] Max-Planck-Institute for Dynamics of Complex Technical Systems
• Localización: Compel: International journal for computation and mathematics in electrical and electronic engineering, ISSN 0332-1649, Vol. 33, Nº 4 (Special Issue: SCEE 2012), 2014, págs. 1071-1081
• Idioma: inglés
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• Resumen

  • Purpose – The Reduced Basis Method (RBM) generates low-order models of parametrized PDEs to allow for efficient evaluation of parametrized models in many-query and real-time contexts. The purpose of this paper is to investigate the performance of the RBM in microwave semiconductor devices, governed by Maxwell's equations.

    Design/methodology/approach – The paper shows the theoretical framework in which the RBM is applied to Maxwell's equations and present numerical results for model reduction under geometry variation.

    Findings – The RBM reduces model order by a factor of $1,000 and more with guaranteed error bounds.

    Originality/value – Exponential convergence speed can be observed by numerical experiments, which makes the RBM a suitable method for parametric model reduction (PMOR).