{"refrec":{"BRefID":102797,"RR":"<b>Hanert, E.; Legat, V.</b> (2006). How to save a bad element with weak boundary conditions. <i>Comput. fluids 35(5)</i>: 477-484. <a href=\"http://dx.doi.org/10.1016/j.compfluid.2005.02.005\" target=\"_blank\">http://dx.doi.org/10.1016/j.compfluid.2005.02.005</a>","BEntID":99587,"PublicFlag":1,"CheckedFlag":0,"wosflag":1,"vabbflag":1,"RefStringPartII":". <i>Comput. fluids 35(5)</i>: 477-484. <a href=\"http://dx.doi.org/10.1016/j.compfluid.2005.02.005\" target=\"_blank\">http://dx.doi.org/10.1016/j.compfluid.2005.02.005</a>","DocTypID":8,"DocType":"Journal article","MarineFlag":1,"FreshFlag":0,"BrackishFlag":0,"TerrestrialFlag":0,"Authorstring":"Hanert, E.; Legat, V.","OrigTitleTranslFlag":0,"Authorstringtrunc":"Hanert, E.; Legat, V.","Englishabstract":"The <em>P</em><sub>1</sub>–<em>P</em><sub>1</sub> finite element pair is known to allow the existence of spurious pressure (surface elevation) modes for the shallow water equations and to be unstable for mixed formulations. We show that this behavior is strongly influenced by the strong or the weak enforcement of the impermeability boundary conditions. A numerical analysis of the Stommel model is performed for both <em>P</em><sub>1</sub>–<em>P</em><sub>1</sub> and <span id=\"mmlsi6\" class=\"mathmlsrc\" onclick=\"submitCitation('/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S004579300500054X&_mathId=si6.gif&_pii=S004579300500054X&_issn=00457930&_acct=C000228598&_version=1&_userid=10&md5=1caa3d0a0d2549403dc0dfebf4fc1854')\" style=\"cursor:pointer;\" alt=\"Click to view the MathML source\" title=\"Click to view the MathML source\"><img class=\"imgLazyJSB\" height=\"18\" border=\"0\" style=\"vertical-align:bottom\" width=\"30\" alt=\"View the MathML source\" title=\"View the MathML source\" src=\"/sd/grey_pxl.gif\" data-inlimgsrc=\"http://ars.els-cdn.com/content/image/1-s2.0-S004579300500054X-si6.gif\"><noscript><img height=\"18\" border=\"0\" style=\"vertical-align:bottom\" width=\"30\" alt=\"View the MathML source\" title=\"View the MathML source\" src=\"http://ars.els-cdn.com/content/image/1-s2.0-S004579300500054X-si6.gif\"></noscript></span>–<em>P</em><sub>1</sub> mixed formulations. Steady and transient test cases are considered. We observe that the <em>P</em><sub>1</sub>–<em>P</em><sub>1</sub> element exhibits stable discrete solutions with weak boundary conditions or with fully unstructured meshes.","AbstractOtherLang":null,"BibLvlCode":"AS","StandardTitle":"How to save a bad element with weak boundary conditions","OrigTitleLangCode":"en","OrigTitleLangCodeExtended":"eng","OrigTitleLangID":15,"DateLastModified":{"date":"2026-06-10 01:31:32.645239","timezone_type":1,"timezone":"+02:00"},"UserAccessRight":null,"UserAccID":null,"AuthorKeywords":null,"OtherDescriptors":null,"Notes":null,"AnaPub":2006,"MonPub":null,"DateUpdate":"2015-11-06","DateCreate":"2006-10-10","SecASFANote":null,"ConfID":null,"PeerRev":1,"VlizCoreFlag":1,"WoScode":"WOS:000234823000002","VABBcode":null,"OpenAcc":0,"DOI":"10.1016/j.compfluid.2005.02.005"},"refs":null,"anarec":{"AnaID":102797,"PubliDate":2006,"Pagination":"477-484","XtraPublOfAnaID":null,"ISBN":null,"Volume":"35","Issue":"5","BRefMon":null,"BRefMonRR":null,"BRefXtra":null,"BRefXtraRR":null,"SerBRefID":102793,"SerRR":"Computers & Fluids. Elsevier: New York.  ISSN 0045-7930; e-ISSN 1879-0747","StandardTitleSer":"Computers & Fluids","ISSN":"0045-7930","AbbrevSer":"Comput. fluids","StandardTitleMon":null,"StartPage":477,"Pages":8,"ToPubliDate":null,"BRefBibLvlCode":"S","SerNotes":null},"monrec":null,"serrec":null,"relations":null,"relationsRev":null,"addrec":null,"othpubs":null,"ownerships":null,"authors":[{"AutName":"Hanert","Firstname":"Emmanuel","Initials":"E.","Affiliation":"Centre for Systems Engineering and Applied Mechanics, Université catholique de Louvain","Discriminator":null,"CorporateFlag":0,"BEntID":99587,"AutID":140810,"OrderNr":1,"DegrID":null,"EditorFlag":0,"CorrespFlag":0,"IllustratorFlag":0,"ReviserFlag":0,"TranslatorFlag":0,"InsAcronym":"CESAME","InsFSN":"Université Catholique de Louvain; Centre d'ingénierie des systèmes d'automatique et de mécanique appliquée","ORCID":"0000-0002-8359-868X","PersID":12740,"InsID":8859},{"AutName":"Legat","Firstname":"Vincent","Initials":"V.","Affiliation":"Centre for Systems Engineering and Applied Mechanics, Université catholique de Louvain","Discriminator":null,"CorporateFlag":0,"BEntID":99587,"AutID":142657,"OrderNr":2,"DegrID":null,"EditorFlag":0,"CorrespFlag":0,"IllustratorFlag":0,"ReviserFlag":0,"TranslatorFlag":0,"InsAcronym":"CESAME","InsFSN":"Université Catholique de Louvain; Centre d'ingénierie des systèmes d'automatique et de mécanique appliquée","ORCID":"0000-0002-1152-944X","PersID":12493,"InsID":8859}],"mapdetails":null,"datasets":null,"monographs":null,"monparts":null,"serparts":null,"BEntOpen":null,"BEntPrivate":null,"availability":[{"BInstID":280320,"LibID":36,"BRefID":102797,"EmbargoDate":null,"FullEmbargoDate":null,"PhysMedID":16,"hasOCRd":1,"ShelfLocCode":"280320","RFID":null,"PaidValue":null,"Medium":"Server","Description":null,"Acronym":"VLIZ","Library":"Vlaams Instituut voor de Zee","DutchTerm":"Open Marien Archief","URL":null,"ClassifID":235,"Classification":"Open Marine Archive","ReqLink":null,"ClassifTypID":5,"URLLocation":"https://www.vliz.be/imisdocs/publications/","SubDir":0,"InternalReq":0,"LoggedInReq":0,"Disclaimer":"Disclaimer_OMA","DutchDisclaimer":null,"FileFormat":".pdf","FileDescr":"pdf","InsPub":1,"InsID":36,"FileFormID":6,"LendableFlag":1,"PublicFlag":1,"orderLib":"A","Notes":null,"AccConID":null,"AccessConstraint":null,"LicURL":null}],"litstyles":null,"thespers":null,"arch2discl":null,"SERpubls":[{"PublName":"Elsevier","City":"New York"}],"MONpubls":null,"pictures":[],"thestermsPath":null,"thestermsASFA":null,"taxtermsASFA":null,"geotermsASFA":null,"collections":[{"Collection":"Marine Biodiversity and Ecosystem Functioning","ShortName":"marbef"},{"Collection":"OMA - Open Marien Archief","ShortName":"OMA"}],"conf":null,"proj":[{"ProID":1813,"Acronym":"SLIM","ProStandardTitle":"Second-generation Louvain-la-Neuve Ice-ocean Model","BYear":2004,"BMonth":9,"EYear":2009,"EMonth":8,"FP7Code":null,"RelID":null,"Relation":null,"DutchTerm":null}],"Physdatasets":null,"spcols":{"222":{"SpName":"BMB - Belgische Mariene Bibliografie","SpColID":222,"ParSpColID":null,"TopParID":null,"ShortName":"BMB","URLLocation":null,"LibID":36,"OpenRepoFlag":null,"SpTypID":null,"TopParIDNotWebsite":null,"SpColPath":"BMB"},"38":{"SpName":"Marine Biodiversity and Ecosystem Functioning","SpColID":38,"ParSpColID":null,"TopParID":null,"ShortName":"marbef","URLLocation":null,"LibID":null,"OpenRepoFlag":null,"SpTypID":null,"TopParIDNotWebsite":null,"SpColPath":"marbef"},"221":{"SpName":"OMA - Open Marien Archief","SpColID":221,"ParSpColID":null,"TopParID":null,"ShortName":"OMA","URLLocation":null,"LibID":36,"OpenRepoFlag":1,"SpTypID":null,"TopParIDNotWebsite":null,"SpColPath":"OMA"},"158":{"SpName":"SCAR-MarBIN","SpColID":158,"ParSpColID":null,"TopParID":null,"ShortName":"scar-marbin","URLLocation":null,"LibID":null,"OpenRepoFlag":null,"SpTypID":null,"TopParIDNotWebsite":null,"SpColPath":"scar-marbin"}},"doi":null,"publs":null,"serparttypes":null,"monauthors":null,"MParts":null,"SParts":null,"hLibs":null,"langs":[{"BEntID":99587,"AbstractFlag":0,"LangID":15,"LangCode":"en","Lang":"English","DutchTerm":"Engels","LangCodeExtended":"eng"},{"BEntID":99587,"AbstractFlag":1,"LangID":15,"LangCode":"en","Lang":"English","DutchTerm":"Engels","LangCodeExtended":"eng"}],"urls":[{"URL":"http://dx.doi.org/10.1016/j.compfluid.2005.02.005","externalID":"10.1016/j.compfluid.2005.02.005","URLTypeCode":"DOI","URLID":23503,"URLTypID":13,"URLType":"DOI","URLPrefix":"http://dx.doi.org/"}],"thesterms":null,"taxterms":null,"geoterms":null,"othterms":null,"asfacodes":null,"asfa2codes":null,"thestermsFRIS":null,"taxtermsFRIS":null,"geotermsFRIS":null,"othtermsFRIS":null,"resmessage":"","complete":1,"sessions":{"newSesName":"VLIZ2000\\kris","newSesDate":{"date":"2006-10-10 09:40:38.143000","timezone_type":3,"timezone":"Europe/Brussels"},"updSesName":"Bouchti, Zohra, Z.","updSesDate":{"date":"2015-11-06 08:34:11.407000","timezone_type":3,"timezone":"Europe/Brussels"}}}