dc.contributor.author | Lohi, Jonni | |
dc.date.accessioned | 2023-06-16T10:57:44Z | |
dc.date.available | 2023-06-16T10:57:44Z | |
dc.date.issued | 2023 | |
dc.identifier.citation | Lohi, J. (2023). New degrees of freedom for differential forms on cubical meshes. <i>Advances in Computational Mathematics</i>, <i>49</i>(3), Article 42. <a href="https://doi.org/10.1007/s10444-023-10047-x" target="_blank">https://doi.org/10.1007/s10444-023-10047-x</a> | |
dc.identifier.other | CONVID_183611975 | |
dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/87869 | |
dc.description.abstract | We consider new degrees of freedom for higher order differential forms on cubical meshes. The approach is inspired by the idea of Rapetti and Bossavit to define higher order Whitney forms and their degrees of freedom using small simplices. We show that higher order differential forms on cubical meshes can be defined analogously using small cubes and prove that these small cubes yield unisolvent degrees of freedom. Importantly, this approach is compatible with discrete exterior calculus and expands the framework to cover higher order methods on cubical meshes, complementing the earlier strategy based on simplices. | en |
dc.format.mimetype | application/pdf | |
dc.language.iso | eng | |
dc.publisher | Springer | |
dc.relation.ispartofseries | Advances in Computational Mathematics | |
dc.rights | CC BY 4.0 | |
dc.subject.other | cochains | |
dc.subject.other | cubical mesh | |
dc.subject.other | degrees of freedom | |
dc.subject.other | differential forms | |
dc.subject.other | discrete exterior calculus | |
dc.title | New degrees of freedom for differential forms on cubical meshes | |
dc.type | article | |
dc.identifier.urn | URN:NBN:fi:jyu-202306163924 | |
dc.contributor.laitos | Informaatioteknologian tiedekunta | fi |
dc.contributor.laitos | Faculty of Information Technology | en |
dc.contributor.oppiaine | Computing, Information Technology and Mathematics | fi |
dc.contributor.oppiaine | Laskennallinen tiede | fi |
dc.contributor.oppiaine | Computing, Information Technology and Mathematics | en |
dc.contributor.oppiaine | Computational Science | 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 | 1019-7168 | |
dc.relation.numberinseries | 3 | |
dc.relation.volume | 49 | |
dc.type.version | publishedVersion | |
dc.rights.copyright | © The Author(s) 2023 | |
dc.rights.accesslevel | openAccess | fi |
dc.subject.yso | osittaisdifferentiaaliyhtälöt | |
dc.subject.yso | numeerinen analyysi | |
dc.subject.yso | numeeriset menetelmät | |
dc.format.content | fulltext | |
jyx.subject.uri | http://www.yso.fi/onto/yso/p12392 | |
jyx.subject.uri | http://www.yso.fi/onto/yso/p15833 | |
jyx.subject.uri | http://www.yso.fi/onto/yso/p6588 | |
dc.rights.url | https://creativecommons.org/licenses/by/4.0/ | |
dc.relation.doi | 10.1007/s10444-023-10047-x | |
jyx.fundinginformation | Open Access funding provided by University of Jyväskylä (JYU). | |
dc.type.okm | A1 | |