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The application of a high-order discontinuous Galerkin time-domain method for the computation of electromagnetic resonant modes

Mark Dawson, Rubén Sevilla Orcid Logo, Kenneth Morgan Orcid Logo

Applied Mathematical Modelling, Volume: 55, Pages: 94 - 108

Swansea University Authors: Mark Dawson, Rubén Sevilla Orcid Logo, Kenneth Morgan Orcid Logo

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DOI (Published version): 10.1016/j.apm.2017.10.030

Abstract

This work presents a highly accurate and efficient methodology for the computation of electromagnetic resonant frequencies and their associated modes in cavities. The proposed technique consists of a high–order discontinuous Galerkin time–domain solver combined with a signal processing algorithm for...

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Published in: Applied Mathematical Modelling
ISSN: 0307-904X
Published: 2018
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URI: https://cronfa.swan.ac.uk/Record/cronfa36201
first_indexed 2017-10-23T19:12:39Z
last_indexed 2021-01-15T03:56:30Z
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spelling 2021-01-14T13:26:06.2248140 v2 36201 2017-10-23 The application of a high-order discontinuous Galerkin time-domain method for the computation of electromagnetic resonant modes f035d0905f7f82eb6d175a9b07f25a3d Mark Dawson Mark Dawson true false b542c87f1b891262844e95a682f045b6 0000-0002-0061-6214 Rubén Sevilla Rubén Sevilla true false 17f3de8936c7f981aea3a832579c5e91 0000-0003-0760-1688 Kenneth Morgan Kenneth Morgan true false 2017-10-23 This work presents a highly accurate and efficient methodology for the computation of electromagnetic resonant frequencies and their associated modes in cavities. The proposed technique consists of a high–order discontinuous Galerkin time–domain solver combined with a signal processing algorithm for extracting the frequency content. The methodology is capable of incorporating the CAD boundary representation of the domain. The numerical results demonstrate that incorporating the exact boundary representation results in a improved convergence rate, a phenomenon that has not been previously reported. Several numerical examples in two and three dimensions show the potential of the proposed technique for cavities filled with non–dispersive or dispersive media. Journal Article Applied Mathematical Modelling 55 94 108 0307-904X Maxwell’s equations; resonant modes; high–order; discontinuous Galerkin; time–domain 1 3 2018 2018-03-01 10.1016/j.apm.2017.10.030 COLLEGE NANME COLLEGE CODE Swansea University 2021-01-14T13:26:06.2248140 2017-10-23T15:31:36.2664297 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering Mark Dawson 1 Rubén Sevilla 0000-0002-0061-6214 2 Kenneth Morgan 0000-0003-0760-1688 3 0036201-23102017153325.pdf dawson2017.pdf 2017-10-23T15:33:25.6230000 Output 12287140 application/pdf Accepted Manuscript true 2018-11-01T00:00:00.0000000 Released under the terms of a Creative Commons Attribution Non-Commercial No Derivatives License (CC-BY-NC-ND). true eng
title The application of a high-order discontinuous Galerkin time-domain method for the computation of electromagnetic resonant modes
spellingShingle The application of a high-order discontinuous Galerkin time-domain method for the computation of electromagnetic resonant modes
Mark Dawson
Rubén Sevilla
Kenneth Morgan
title_short The application of a high-order discontinuous Galerkin time-domain method for the computation of electromagnetic resonant modes
title_full The application of a high-order discontinuous Galerkin time-domain method for the computation of electromagnetic resonant modes
title_fullStr The application of a high-order discontinuous Galerkin time-domain method for the computation of electromagnetic resonant modes
title_full_unstemmed The application of a high-order discontinuous Galerkin time-domain method for the computation of electromagnetic resonant modes
title_sort The application of a high-order discontinuous Galerkin time-domain method for the computation of electromagnetic resonant modes
author_id_str_mv f035d0905f7f82eb6d175a9b07f25a3d
b542c87f1b891262844e95a682f045b6
17f3de8936c7f981aea3a832579c5e91
author_id_fullname_str_mv f035d0905f7f82eb6d175a9b07f25a3d_***_Mark Dawson
b542c87f1b891262844e95a682f045b6_***_Rubén Sevilla
17f3de8936c7f981aea3a832579c5e91_***_Kenneth Morgan
author Mark Dawson
Rubén Sevilla
Kenneth Morgan
author2 Mark Dawson
Rubén Sevilla
Kenneth Morgan
format Journal article
container_title Applied Mathematical Modelling
container_volume 55
container_start_page 94
publishDate 2018
institution Swansea University
issn 0307-904X
doi_str_mv 10.1016/j.apm.2017.10.030
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering
document_store_str 1
active_str 0
description This work presents a highly accurate and efficient methodology for the computation of electromagnetic resonant frequencies and their associated modes in cavities. The proposed technique consists of a high–order discontinuous Galerkin time–domain solver combined with a signal processing algorithm for extracting the frequency content. The methodology is capable of incorporating the CAD boundary representation of the domain. The numerical results demonstrate that incorporating the exact boundary representation results in a improved convergence rate, a phenomenon that has not been previously reported. Several numerical examples in two and three dimensions show the potential of the proposed technique for cavities filled with non–dispersive or dispersive media.
published_date 2018-03-01T13:16:51Z
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score 11.048453

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