A reduced basis method for microwave semiconductor devices with geometric variations

Abstract

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).

Citation

W. Hess, M. and Benner, P. (2014), "A reduced basis method for microwave semiconductor devices with geometric variations", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 33 No. 4, pp. 1071-1081. https://doi.org/10.1108/COMPEL-12-2012-0377