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

Author/Creator

Author/Creator ORCID

Date

2008-08-19

Department

Mathematics and Statistics

Program

Mathematics, Applied

Citation of Original Publication

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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