Title	Variational Problems in Weighted Sobolev Spaces with Applications to Computational Fluid Dynamics
Author	Soane, Ana Maria
Advisors	Rostamian, Rouben
Program	Mathematics, Applied
UMBC Department	Mathematics and Statistics
Document Type	dissertation
Sponsors	University of Maryland, Baltimore County (UMBC)
Keywords	Mathematics (0405); Mathematics (0405); Poisson problem; Helmholtz problem; Corner singularities; Weighted Sobolev spaces; Navier-Stokes equations
Date Issued	2008-08-19; *
Abstract	We 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
Identifier	1229
Format	application:pdf
Language	en
Collection	UMBC Theses and Dissertations
Rights Statement	This 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.
Source	umi-umbc-1229.pdf

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