Variational Problems in Weighted Sobolev Spaces with Applications to Computational Fluid Dynamics

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dc.contributor.advisorRostamian, Rouben
dc.contributor.authorSoane, Ana Maria
dc.contributor.departmentMathematics and Statistics
dc.contributor.programMathematics, Applied
dc.date.accessioned2015-10-14T03:12:54Z
dc.date.available2015-10-14T03:12:54Z
dc.date.issued2008-08-19
dc.description.abstractWe study variational problems in weighted Sobolev spaces on bounded domains with angular points. The specific forms of these variational formulations are motivated by, and applied to, a finite element scheme for the time-dependent Navier-Stokes equations. Specifically, we introduce new variational formulations for the Poisson and Helmholtz problems in what would be a weighted counterpart of H<sup>2
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dc.identifierdoi:10.13016/M2566J
dc.identifier.other1229
dc.identifier.urihttp://hdl.handle.net/11603/1034
dc.languageen
dc.relation.isAvailableAtThe University of Maryland, Baltimore County (UMBC)
dc.relation.ispartofUMBC Theses and Dissertations Collection
dc.relation.ispartofUMBC Graduate School Collection
dc.relation.ispartofUMBC Student Collection
dc.relation.ispartofUMBC Mathematics and Statistics Department Collection
dc.rightsThis item may be protected under Title 17 of the U.S. Copyright Law. It is made available by UMBC for non-commercial research and education. For permission to publish or reproduce, please see http://aok.lib.umbc.edu/specoll/repro.php or contact Special Collections at speccoll(at)umbc.edu.
dc.sourceOriginal File Name: umi-umbc-1229.pdf
dc.subjectMathematics (0405)
dc.subjectMathematics (0405)
dc.subjectPoisson problem
dc.subjectHelmholtz problem
dc.subjectCorner singularities
dc.subjectWeighted Sobolev spaces
dc.subjectNavier-Stokes equations
dc.titleVariational Problems in Weighted Sobolev Spaces with Applications to Computational Fluid Dynamics
dc.typeText
dcterms.accessRightsAccess limited to the UMBC community. Item may possibly be obtained via Interlibrary Loan through a local library, pending author/copyright holder's permission.

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