Variational Problems in Weighted Sobolev Spaces with Applications to Computational Fluid Dynamics
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Date
2008-08-19
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Department
Mathematics and Statistics
Program
Mathematics, Applied
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Access limited to the UMBC community. Item may possibly be obtained via Interlibrary Loan through a local library, pending author/copyright holder's permission.
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