Publication:

Crouzeix-Raviart triangular elements are inf-sup stable

Date

Date

Date
2022
Journal Article
Published version
Simple data Full metadata Statistics
cris.lastimport.scopus2025-06-15T03:43:45Z
cris.lastimport.wos2025-07-26T01:49:00Z
dc.contributor.institutionUniversity of Zurich
dc.date.accessioned2022-07-18T16:03:43Z
dc.date.available2022-07-18T16:03:43Z
dc.date.issued2022-06-08
dc.description.abstract

The Crouzeix-Raviart triangular finite elements are inf-sup stable for the Stokes equations for any mesh with at least one interior vertex. This result affirms a conjecture of Crouzeix-Falk from 1989 for p = 3. Our proof applies to any odd degree p >= 3 and concludes the overall stability analysis: Crouzeix-Raviart triangular finite elements of degree p in two dimensions and the piecewise polynomials of degree p - 1 with vanishing integral form a stable Stokes pair for all positive integers p.

dc.identifier.doi10.1090/mcom/3742
dc.identifier.issn0025-5718
dc.identifier.scopus2-s2.0-85134381186
dc.identifier.urihttps://www.zora.uzh.ch/handle/20.500.14742/196530
dc.identifier.wos000810028500001
dc.language.isoeng
dc.subjectApplied Mathematics
dc.subjectComputational Mathematics
dc.subjectAlgebra and Number Theory ; Stokes problem
dc.subjectinf-sup stability
dc.subjectnonconforming
dc.subjectCrouzeix-Raviart
dc.subjectp=3
dc.subjectodd degree
dc.subjectarbitrary p ; FINITE-ELEMENT
dc.subjectDIVERGENCE OPERATOR
dc.subjectRIGHT-INVERSE
dc.subjectSPACES
dc.subject.ddc510 Mathematics
dc.title

Crouzeix-Raviart triangular elements are inf-sup stable

dc.typearticle
dcterms.accessRightsinfo:eu-repo/semantics/closedAccess
dcterms.bibliographicCitation.journaltitleMathematics of Computation
dcterms.bibliographicCitation.number337
dcterms.bibliographicCitation.originalpublishernameAmerican Mathematical Society
dcterms.bibliographicCitation.pageend2057
dcterms.bibliographicCitation.pagestart2041
dcterms.bibliographicCitation.volume91
dspace.entity.typePublicationen
uzh.contributor.authorCarstensen, Carsten
uzh.contributor.authorSauter, Stefan
uzh.contributor.correspondenceYes
uzh.contributor.correspondenceNo
uzh.document.availabilitycontent_undefined
uzh.eprint.datestamp2022-07-18 16:03:43
uzh.eprint.lastmod2025-07-26 01:55:38
uzh.eprint.statusChange2022-07-18 16:03:43
uzh.harvester.ethYes
uzh.harvester.nbNo
uzh.identifier.doi10.5167/uzh-219468
uzh.jdb.eprintsId22786
uzh.note.publicMSC (2020): Primary 65N30, 65N12, 65N15
uzh.oastatus.unpaywallgreen
uzh.oastatus.zoraClosed
uzh.publication.citationCarstensen, Carsten; Sauter, Stefan (2022). Crouzeix-Raviart triangular elements are inf-sup stable. Mathematics of Computation, 91(337):2041-2057.
uzh.publication.freeAccessAtdoi
uzh.publication.originalworkoriginal
uzh.publication.publishedStatusfinal
uzh.scopus.impact4
uzh.workflow.doajuzh.workflow.doaj.false
uzh.workflow.eprintid219468
uzh.workflow.fulltextStatusrestricted
uzh.workflow.revisions40
uzh.workflow.rightsCheckkeininfo
uzh.workflow.sourceCrossref:10.1090/mcom/3742
uzh.workflow.statusarchive
uzh.wos.impact4
Files

Original bundle

Name:
Sauter_2022_Crouzeix_RaviartTriangular.pdf
Size:
281.6 KB
Format:
Adobe Portable Document Format
Downloadable by admins only
Sauter_2022_Crouzeix_RaviartTriangular.pdfview file |Download281.6 KB
Publication available in collections:
Publications of Institute of Mathematics