Rostamian, RoubenSoane, Ana Maria2015-10-142015-10-142008-08-191229http://hdl.handle.net/11603/1034We 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>2application/pdfThis 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.Mathematics (0405)Mathematics (0405)Poisson problemHelmholtz problemCorner singularitiesWeighted Sobolev spacesNavier-Stokes equationsText