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Title:An RBF-based method for computational electromagnetics with reduced numerical dispersion
Authors:ID Kolar-Požun, Andrej, Institut "Jožef Stefan" (Author)
ID Kosec, Gregor, Institut "Jožef Stefan" (Author)
Files:URL URL - Source URL, visit https://www.sciencedirect.com/science/article/pii/S0045782526001398
 
.pdf PDF - Presentation file, download (8,37 MB)
MD5: 8E997222AC901CD99C2535AC2DF5D6EB
 
Language:English
Typology:1.01 - Original Scientific Article
Organization:Logo IJS - Jožef Stefan Institute
Abstract:The finite difference time domain method is one of the simplest and most popular methods in computational electromagnetics. This work considers two possible ways of generalising it to a meshless setting by employing local radial basis function interpolation. The resulting methods remain fully explicit and are convergent if properly chosen hyperviscosity terms are added to the update equations. We demonstrate that increasing the stencil size of the approximation has a desirable effect on numerical dispersion. Furthermore, our proposed methods can exhibit a decreased dispersion anisotropy compared to the finite difference time domain method.
Keywords:finite difference time domain, meshless, radial basis function, hyperviscosity, dispersion, telecommunication protocols
Publication status:Published
Publication version:Version of Record
Submitted for review:22.10.2025
Article acceptance date:18.02.2026
Publication date:25.02.2026
Publisher:Elsevier
Year of publishing:2026
Number of pages:str. 1-23
Numbering:Vol. 454, [article no.] 118865
Source:Nizozemska
PID:20.500.12556/DiRROS-27964 New window
UDC:537
ISSN on article:1879-2138
DOI:10.1016/j.cma.2026.118865 New window
COBISS.SI-ID:270264579 New window
Copyright:© 2026 The Author(s).
Note:Nasl. z nasl. zaslona; Opis vira z dne 3. 3. 2026;
Publication date in DiRROS:03.03.2026
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Downloads:22
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Record is a part of a journal

Title:Computer Methods in Applied Mechanics and Engineering
Publisher:Elsevier
ISSN:1879-2138
COBISS.SI-ID:22956805 New window

Document is financed by a project

Funder:ARIS - Slovenian Research and Innovation Agency
Project number:P2-0095-2020
Name:Vzporedni in porazdeljeni sistemi

Funder:ARIS - Slovenian Research and Innovation Agency
Project number:J2-3048-2021
Name:Napredno modeliranje radijskih kanalov z žarkovno-optičnimi in numeričnimi brezmrežnimi metodami

Funder:ARIS - Slovenian Research and Innovation Agency
Funding programme:Young Researcher program
Project number:PR-12347

Licences

License:CC BY 4.0, Creative Commons Attribution 4.0 International
Link:http://creativecommons.org/licenses/by/4.0/
Description:This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.
Licensing start date:25.02.2026
Applies to:VoR

Secondary language

Language:Slovenian
Keywords:disperzija, telekomunikacijski protokoli


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