Reduced basis approximations in microwave filters and diplexers: Inf-sup constant behavior

García Salgado, Sara and Rubia Hernández, Valentin de la and Mrozowski, Michal (2017). Reduced basis approximations in microwave filters and diplexers: Inf-sup constant behavior. In: "IEEE MTT-S International Conference on Numerical Electromagnetic and Multiphysics Modeling and Optimization for RF, Microwave, and Terahertz Applications (NEMO), 2017", 17/05/2017 - 19/05/2017, Sevilla, España. ISBN 978-1-5090-4837-3. pp. 275-277. https://doi.org/10.1109/NEMO.2017.7964258.

Description

Title: Reduced basis approximations in microwave filters and diplexers: Inf-sup constant behavior
Author/s:
  • García Salgado, Sara
  • Rubia Hernández, Valentin de la
  • Mrozowski, Michal
Item Type: Presentation at Congress or Conference (Article)
Event Title: IEEE MTT-S International Conference on Numerical Electromagnetic and Multiphysics Modeling and Optimization for RF, Microwave, and Terahertz Applications (NEMO), 2017
Event Dates: 17/05/2017 - 19/05/2017
Event Location: Sevilla, España
Title of Book: Proceedings of IEEE MTT-S International Conference on Numerical Electromagnetic and Multiphysics Modeling and Optimization for RF, Microwave, and Terahertz Applications (NEMO), 2017
Date: July 2017
ISBN: 978-1-5090-4837-3
Subjects:
Freetext Keywords: Error analysis, finite element methods, Galerkin method, reduced basis methods, reduced order systems
Faculty: E.T.S.I. Telecomunicación (UPM)
Department: Matemática Aplicada a las Tecnologías de la Información y las Comunicaciones
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

In this work, a model order reduction technique for fast frequency sweep in microwave filters and diplexers via the Reduced Basis Method is detailed. The Finite Element Method is used to solve the time-harmonic Maxwell's equations in these resonant circuit problems. Taking into account the electromagnetic field varies smoothly as a function of the frequency parameter, a low dimension system parameter manifold is identified. Thus, the original frequency-dependent Finite Element problem can be approximated by a model of reduced size using a Reduced Basis approximation. Based on the field frequency behavior in these resonant structures, the Reduced Basis space where the approximation holds is identified and characterized. Finally, special emphasis is placed in the behavior of the inf-sup constant used to provide an a posteriori error estimator, and its consequences in the Reduced Basis approximation are highlighted.

More information

Item ID: 51127
DC Identifier: http://oa.upm.es/51127/
OAI Identifier: oai:oa.upm.es:51127
DOI: 10.1109/NEMO.2017.7964258
Official URL: https://ieeexplore.ieee.org/document/7964258/
Deposited by: Memoria Investigacion
Deposited on: 12 Jun 2018 16:40
Last Modified: 12 Jun 2018 16:40
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