Journal
IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES
Volume 63, Issue 11, Pages 3549-3557Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TMTT.2015.2473157
Keywords
Electromagnetic (EM) fields; finite-element methods; numerical analysis; reduced-order systems
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Funding
- collaborative project nanoCOPS, Nanoelectronic Coupled Problems Solutions
- European Union [FP7-ICT-2013-11, 619166]
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The reduced basis method (RBM) generates low-order models of parametrized partial differential equations. These allow for the efficient evaluation of parametrized models in many-query and real-time contexts. We use the RBM to generate low-order models of microscale models under variation of frequency, geometry, and material parameters. In particular, we focus on the efficient estimation of the discrete stability constant used in the reducced basis error estimation. A good estimation of the discrete stability constant is a challenging problem for Maxwell's equations, but is needed to yield rigorous bounds on the model approximation error. We therefore test and compare
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