A reduced basis method for microwave semiconductor devices with geometric variations. Issue 4 (1st July 2014)

• Record Type: Journal Article
• Authors: W. Hess, Martin; Benner, Peter
• Is Part Of: Compel. Volume 33:Issue 4(2014)
• Page Start: 1071
• Page End: 1081
• Publication Date: 2014-07-01
• Subjects: Electromagnetic fields -- Maxwell's equations -- Reduced basis method -- Reduced-order method; Electrical engineering -- Data Processing -- Periodicals; Electrical engineering -- Mathematics -- Periodicals; Electrical engineering -- Periodicals; Electronics -- Data Processing -- Periodicals; Electronics -- Mathematics -- Periodicals; 621.3
• DOI: 10.1108/COMPEL-12-2012-0377
• Languages: English
• ISSNs: 0332-1649

Abstract

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).