{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,14]],"date-time":"2025-05-14T02:28:22Z","timestamp":1747189702410,"version":"3.40.5"},"reference-count":5,"publisher":"World Scientific Pub Co Pte Ltd","issue":"03n04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Comput. Geom. Appl."],"published-print":{"date-parts":[[2023,12]]},"abstract":"<jats:p> Various angle characteristics are used (e.g. in finite element methods or computer graphics) when evaluating the quality of computational meshes which may consist, in the three-dimensional case, of tetrahedra, prisms, hexahedra and pyramids. Thus, it is of interest to derive (preferably tight) bounds for dihedral angle sums, i.e. sums of angles between faces, of such mesh elements. For tetrahedra this task was solved by Gaddum in 1952. For pyramids, this was resolved by Korotov, Lund and Vatne in 2022. In this paper, we compute tight bounds for the remaining two cases, hexahedra and prisms. <\/jats:p>","DOI":"10.1142\/s0218195923500036","type":"journal-article","created":{"date-parts":[[2023,11,8]],"date-time":"2023-11-08T08:59:13Z","timestamp":1699433953000},"page":"85-95","source":"Crossref","is-referenced-by-count":1,"title":["On Dihedral Angle Sums of Prisms and Hexahedra"],"prefix":"10.1142","volume":"33","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1995-2450","authenticated-orcid":false,"given":"Sergey","family":"Korotov","sequence":"first","affiliation":[{"name":"Division of Mathematics and Physics, UKK, M\u00e4lardalen University, Box 883, 721 23 V\u00e4ster\u00e5s, Sweden"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2330-5088","authenticated-orcid":false,"given":"Jon Eivind","family":"Vatne","sequence":"additional","affiliation":[{"name":"Department of Economics, Norwegian Business School (BI), Kong Christian Frederiks plass 5, 5006 Bergen, Norway"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2023,11,7]]},"reference":[{"key":"S0218195923500036BIB001","first-page":"397","volume":"267","author":"Brandts J.","year":"2015","journal-title":"Appl. Math. Comput."},{"key":"S0218195923500036BIB002","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-030-55677-8"},{"volume-title":"The Finite Element Method for Elliptic Problems","year":"1978","author":"Ciarlet P. G.","key":"S0218195923500036BIB003"},{"key":"S0218195923500036BIB004","doi-asserted-by":"publisher","DOI":"10.1080\/00029890.1952.11988143"},{"key":"S0218195923500036BIB005","doi-asserted-by":"publisher","DOI":"10.21136\/AM.2022.0010-22"}],"container-title":["International Journal of Computational Geometry &amp; Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218195923500036","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,1,5]],"date-time":"2024-01-05T07:01:27Z","timestamp":1704438087000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/10.1142\/S0218195923500036"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,11,7]]},"references-count":5,"journal-issue":{"issue":"03n04","published-print":{"date-parts":[[2023,12]]}},"alternative-id":["10.1142\/S0218195923500036"],"URL":"https:\/\/doi.org\/10.1142\/s0218195923500036","relation":{},"ISSN":["0218-1959","1793-6357"],"issn-type":[{"type":"print","value":"0218-1959"},{"type":"electronic","value":"1793-6357"}],"subject":[],"published":{"date-parts":[[2023,11,7]]}}}