Publication
Numerical minimization of dirichlet laplacian eigenvalues of four-dimensional geometries
| dc.contributor.author | Antunes, Pedro R. S. | |
| dc.contributor.author | Oudet, Édouard | |
| dc.date.accessioned | 2018-02-09T16:57:15Z | |
| dc.date.available | 2018-02-09T16:57:15Z | |
| dc.date.issued | 2017 | |
| dc.description.abstract | We develop the first numerical study in four dimensions of optimal eigenmodes associated with the Dirichlet Laplacian. We describe an extension of the method of fundamental solutions adapted to the four-dimensional context. Based on our numerical simulation and a postprocessing adapted to the identification of relevant symmetries, we provide and discuss the numerical description of the eighth first optimal domains. | pt_PT |
| dc.description.sponsorship | The work of the first author was partially supported by FCT, Portugal, through the program “Investigador FCT” with reference IF/00177/2013 and the scientific project PTDC/MATCAL/4334/2014. The work of the second author was supported by the ANR, through the projects COMEDIC, PGMO, and OPTIFORM | |
| dc.description.sponsorship | PTDC/MATCAL/4334/2014 | |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.doi | 10.1137/16M1083773 | pt_PT |
| dc.identifier.issn | 1064-8275 (Print) | |
| dc.identifier.issn | 1095-7197 (Online) | |
| dc.identifier.uri | http://hdl.handle.net/10400.2/7112 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.publisher | SIAM | pt_PT |
| dc.subject | Dirichlet laplacian | pt_PT |
| dc.subject | Eigenvalues | pt_PT |
| dc.subject | Higher dimensional space | pt_PT |
| dc.subject | Shape optimization | pt_PT |
| dc.title | Numerical minimization of dirichlet laplacian eigenvalues of four-dimensional geometries | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.conferencePlace | SIAM Journal on Scientific Computing | pt_PT |
| oaire.citation.endPage | B521 | pt_PT |
| oaire.citation.startPage | B508 | pt_PT |
| oaire.citation.volume | Vol. 39, nº 3 | pt_PT |
| person.familyName | Antunes | |
| person.givenName | Pedro | |
| person.identifier.ciencia-id | 6710-138C-A69D | |
| person.identifier.orcid | 0000-0003-1969-1860 | |
| person.identifier.rid | M-2406-2015 | |
| person.identifier.scopus-author-id | 55346859100 | |
| rcaap.rights | openAccess | pt_PT |
| rcaap.type | article | pt_PT |
| relation.isAuthorOfPublication | bef314d2-4a78-4fba-aecd-9f4e8e19e70c | |
| relation.isAuthorOfPublication.latestForDiscovery | bef314d2-4a78-4fba-aecd-9f4e8e19e70c |