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dc.contributor.authorGeorgiou, Georgios C.en_US
dc.contributor.authorOlson, Lorraine G.en_US
dc.contributor.authorSchultz, William W.en_US
dc.contributor.authorSagan, Susanen_US
dc.date.accessioned2007-04-06T18:37:50Z
dc.date.available2007-04-06T18:37:50Z
dc.date.issued1989-11en_US
dc.identifier.citationGeorgiou, Georgios C.; Olson, Lorraine G.; Schultz, William W.; Sagan, Susan (1989)."A singular finite element for Stokes flow: The stick–slip problem." International Journal for Numerical Methods in Fluids 9(11): 1353-1367. <http://hdl.handle.net/2027.42/50199>en_US
dc.identifier.issn0271-2091en_US
dc.identifier.issn1097-0363en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/50199
dc.description.abstractAbrupt changes in boundary conditions in viscous flow problems give rise to stress singularities. Ordinary finite element methods account effectively for the global solution but perform poorly near the singularity. In this paper we develop singular finite elements, similar in principle to the crack tip elements used in fracture mechanics, to improve the solution accuracy in the vicinity of the singular point and to speed up the rate of convergence. These special elements surround the singular point, and the corresponding field shape functions embody the form of the singularity. Because the pressure is singular, there is no pressure node at the singular point. The method performs well when applied to the stick–slip problem and gives more accurate results than those from refined ordinary finite element meshes.en_US
dc.format.extent811306 bytes
dc.format.extent3118 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.publisherJohn Wiley & Sons, Ltden_US
dc.subject.otherEngineeringen_US
dc.subject.otherEngineering Generalen_US
dc.titleA singular finite element for Stokes flow: The stick–slip problemen_US
dc.typeArticleen_US
dc.rights.robotsIndexNoFollowen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumDepartment of Mechanical Engineering and Applied Mechanics, The University of Michigan, Ann Arbor, MI 48109, U.S.A. ; Department of Chemical Engineering, The University of Michigan, Ann Arbor, MI 48109, U.S.A.en_US
dc.contributor.affiliationumDepartment of Mechanical Engineering and Applied Mechanics, The University of Michigan, Ann Arbor, MI 48109, U.S.A.en_US
dc.contributor.affiliationumDepartment of Mechanical Engineering and Applied Mechanics, The University of Michigan, Ann Arbor, MI 48109, U.S.A.en_US
dc.contributor.affiliationumDepartment of Mechanical Engineering and Applied Mechanics, The University of Michigan, Ann Arbor, MI 48109, U.S.A.en_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/50199/1/1650091105_ftp.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1002/fld.1650091105en_US
dc.identifier.sourceInternational Journal for Numerical Methods in Fluidsen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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