Variational Problems in Weighted Sobolev Spaces with Applications to Computational Fluid Dynamics
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DepartmentMathematics and Statistics
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Weighted Sobolev spaces
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