dc.contributor.author | Räbinä, Jukka | |
dc.contributor.author | Kettunen, Lauri | |
dc.contributor.author | Mönkölä, Sanna | |
dc.contributor.author | Rossi, Tuomo | |
dc.date.accessioned | 2018-09-24T10:32:35Z | |
dc.date.available | 2018-09-24T10:32:35Z | |
dc.date.issued | 2018 | |
dc.identifier.citation | Räbinä, J., Kettunen, L., Mönkölä, S., & Rossi, T. (2018). Generalized wave propagation problems and discrete exterior calculus. <i>ESAIM : Mathematical Modelling and Numerical Analysis</i>, <i>52</i>(3), 1195-1218. <a href="https://doi.org/10.1051/m2an/2018017" target="_blank">https://doi.org/10.1051/m2an/2018017</a> | |
dc.identifier.other | CONVID_28269892 | |
dc.identifier.other | TUTKAID_78879 | |
dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/59633 | |
dc.description.abstract | We introduce a general class of second-order boundary value problems
unifying application areas such as acoustics, electromagnetism, elastodynamics,
quantum mechanics, and so on, into a single framework. This also
enables us to solve wave propagation problems very e ciently with a single
software system. The solution method precisely follows the conservation laws
in nite-dimensional systems, whereas the constitutive relations are imposed
approximately. We employ discrete exterior calculus for the spatial discretization,
use natural crystal structures for three-dimensional meshing, and derive
a discrete Hodge adapted to harmonic wave. The numerical experiments indicate
that the cumulative pollution error can be practically eliminated in the
case of harmonic wave problems. The restrictions following from the CFL condition
can be bypassed with a local time-stepping scheme. The computational
savings are at least one order of magnitude. | fi |
dc.format.mimetype | application/pdf | |
dc.language.iso | eng | |
dc.publisher | EDP Sciences | |
dc.relation.ispartofseries | ESAIM : Mathematical Modelling and Numerical Analysis | |
dc.rights | In Copyright | |
dc.subject.other | raja-arvot | |
dc.subject.other | exterior algebra | |
dc.subject.other | boundary value problems | |
dc.subject.other | acoustics | |
dc.subject.other | elasticity | |
dc.subject.other | finite difference | |
dc.subject.other | discrete exterior calculus | |
dc.title | Generalized wave propagation problems and discrete exterior calculus | |
dc.type | article | |
dc.identifier.urn | URN:NBN:fi:jyu-201809214210 | |
dc.contributor.laitos | Informaatioteknologian tiedekunta | fi |
dc.contributor.laitos | Faculty of Information Technology | en |
dc.type.uri | http://purl.org/eprint/type/JournalArticle | |
dc.date.updated | 2018-09-21T12:15:07Z | |
dc.type.coar | http://purl.org/coar/resource_type/c_2df8fbb1 | |
dc.description.reviewstatus | peerReviewed | |
dc.format.pagerange | 1195-1218 | |
dc.relation.issn | 0764-583X | |
dc.relation.numberinseries | 3 | |
dc.relation.volume | 52 | |
dc.type.version | acceptedVersion | |
dc.rights.copyright | © EDP Sciences, SMAI 2018. | |
dc.rights.accesslevel | openAccess | fi |
dc.subject.yso | differentiaaligeometria | |
dc.subject.yso | algebra | |
dc.subject.yso | akustiikka | |
dc.subject.yso | kvanttimekaniikka | |
dc.subject.yso | sähkömagnetismi | |
dc.format.content | fulltext | |
jyx.subject.uri | http://www.yso.fi/onto/yso/p16682 | |
jyx.subject.uri | http://www.yso.fi/onto/yso/p12498 | |
jyx.subject.uri | http://www.yso.fi/onto/yso/p2909 | |
jyx.subject.uri | http://www.yso.fi/onto/yso/p5563 | |
jyx.subject.uri | http://www.yso.fi/onto/yso/p9447 | |
dc.rights.url | http://rightsstatements.org/page/InC/1.0/?language=en | |
dc.relation.doi | 10.1051/m2an/2018017 | |
dc.type.okm | A1 | |