Show simple item record

dc.contributor.authorScroggs, MW
dc.contributor.authorDokken, JS
dc.contributor.authorRichardson, CN
dc.contributor.authorWells, GN
dc.date.accessioned2022-03-18T00:30:45Z
dc.date.available2022-03-18T00:30:45Z
dc.date.issued2022
dc.identifier.issn0098-3500
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/335148
dc.description.abstractWe develop a method for generating degree-of-freedom maps for arbitrary order finite element spaces for any cell shape. The approach is based on the composition of permutations and transformations by cell sub-entity. Current approaches to generating degree-of-freedom maps for arbitrary order problems typically rely on a consistent orientation of cell entities that permits the definition of a common local coordinate system on shared edges and faces. However, while orientation of a mesh is straightforward for simplex cells and is a local operation, it is not a strictly local operation for quadrilateral cells and in the case of hexahedral cells not all meshes are orientable. The permutation and transformation approach is developed for a range of element types, including Lagrange, and divergence- and curl-conforming elements, and for a range of cell shapes. The approach is local and can be applied to cells of any shape, including general polytopes and meshes with mixed cell types. A number of examples are presented and the developed approach has been implemented in an open-source finite element library.
dc.publisherAssociation for Computing Machinery (ACM)
dc.rightsAll Rights Reserved
dc.rights.urihttp://www.rioxx.net/licenses/all-rights-reserved
dc.subjectmath.NA
dc.subjectmath.NA
dc.subjectcs.NA
dc.titleConstruction of Arbitrary Order Finite Element Degree-of-Freedom Maps on Polygonal and Polyhedral Cell Meshes
dc.typeArticle
dc.publisher.departmentDepartment of Engineering
dc.publisher.departmentDepartment of Earth Sciences
dc.date.updated2022-03-17T11:00:29Z
prism.publicationNameACM Transactions on Mathematical Software
dc.identifier.doi10.17863/CAM.82580
dcterms.dateAccepted2022-01-23
rioxxterms.versionofrecord10.1145/3524456
rioxxterms.versionAM
dc.contributor.orcidScroggs, Matthew [0000-0002-4658-2443]
dc.contributor.orcidRichardson, Christopher [0000-0003-3137-1392]
dc.contributor.orcidWells, Garth [0000-0001-5291-7951]
dc.identifier.eissn1557-7295
rioxxterms.typeJournal Article/Review
cam.issuedOnline2022-03-25
cam.orpheus.successTue Apr 12 08:22:47 BST 2022 - Embargo updated
cam.orpheus.counter2
cam.depositDate2022-03-17
pubs.licence-identifierapollo-deposit-licence-2-1
pubs.licence-display-nameApollo Repository Deposit Licence Agreement
rioxxterms.freetoread.startdate2022-03-25


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record