(2+1)-dimensional discrete exterior discretization of a general wave model in Minkowski spacetime
| dc.contributor.author | Mönkölä, Sanna | |
| dc.contributor.author | Räbinä, Jukka | |
| dc.contributor.author | Saksa, Tytti | |
| dc.contributor.author | Rossi, Tuomo | |
| dc.date.accessioned | 2024-12-18T10:06:24Z | |
| dc.date.available | 2024-12-18T10:06:24Z | |
| dc.date.issued | 2025 | |
| dc.identifier.citation | Mönkölä, S., Räbinä, J., Saksa, T., & Rossi, T. (2025). (2+1)-dimensional discrete exterior discretization of a general wave model in Minkowski spacetime. <i>Results in Applied Mathematics</i>, <i>25</i>, Article 100528. <a href="https://doi.org/10.1016/j.rinam.2024.100528" target="_blank">https://doi.org/10.1016/j.rinam.2024.100528</a> | |
| dc.identifier.other | CONVID_244584248 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/99053 | |
| dc.description.abstract | We present a differential geometry-based model for linear wave equations in -dimensional spacetime. This model encompasses acoustic, elastic, and electromagnetic waves and is also applicable in quantum mechanical simulations. For discretization, we introduce a spacetime extension of discrete exterior calculus, resulting in a leapfrog-style time evolution. The scheme further supports numerical simulations of moving and deforming domains. The numerical tests presented in this paper demonstrate the method’s stability limits and computational efficiency. | en |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | eng | |
| dc.publisher | Elsevier | |
| dc.relation.ispartofseries | Results in Applied Mathematics | |
| dc.rights | CC BY 4.0 | |
| dc.subject.other | discrete exterior calculus | |
| dc.subject.other | Minkowski spacetime | |
| dc.subject.other | general model | |
| dc.subject.other | wave equations | |
| dc.title | (2+1)-dimensional discrete exterior discretization of a general wave model in Minkowski spacetime | |
| dc.type | research article | |
| dc.identifier.urn | URN:NBN:fi:jyu-202412187866 | |
| dc.contributor.laitos | Informaatioteknologian tiedekunta | fi |
| dc.contributor.laitos | Faculty of Information Technology | en |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | |
| dc.type.coar | http://purl.org/coar/resource_type/c_2df8fbb1 | |
| dc.description.reviewstatus | peerReviewed | |
| dc.relation.issn | 2590-0382 | |
| dc.relation.volume | 25 | |
| dc.type.version | publishedVersion | |
| dc.rights.copyright | © 2024 The Author(s). Published by Elsevier B.V. | |
| dc.rights.accesslevel | openAccess | fi |
| dc.type.publication | article | |
| dc.subject.yso | kvanttimekaniikka | |
| dc.subject.yso | diskreetti matematiikka | |
| dc.subject.yso | aaltoyhtälöt | |
| dc.format.content | fulltext | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p5563 | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p27156 | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p39811 | |
| dc.rights.url | https://creativecommons.org/licenses/by/4.0/ | |
| dc.relation.doi | 10.1016/j.rinam.2024.100528 | |
| jyx.fundinginformation | This project was partially funded by the Research Council of Finland (grants 259925 and 260076). | |
| dc.type.okm | A1 |
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