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A reduced basis method for microwave semiconductor devices with geometric variations

A reduced basis method for microwave semiconductor devices with geometric variations 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). http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering Emerald Publishing

A reduced basis method for microwave semiconductor devices with geometric variations

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Publisher
Emerald Publishing
Copyright
Copyright © 2014 Emerald Group Publishing Limited. All rights reserved.
ISSN
0332-1649
DOI
10.1108/COMPEL-12-2012-0377
Publisher site
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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).

Journal

COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering – Emerald Publishing

Published: Jul 1, 2014

Keywords: Electromagnetic fields; Maxwell's equations; Reduced basis method; Reduced‐order method

References

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