A least squares Petrov-Galerkin finite element method for the stationary Navier-Stokes equations
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- by Tian Xiao Zhou and Min Fu Feng PDF
- Math. Comp. 60 (1993), 531-543 Request permission
Abstract:
In this paper, a Galerkin/least squares-type finite element method is proposed and analyzed for the stationary Navier-Stokes equations. The method is consistent and stable for any combination of discrete velocity and pressure spaces (without requiring a Babuška-Brezzi stability condition). The existence, uniqueness and convergence (at optimal rate) of the discrete solution is proved in the case of sufficient viscosity (or small data).References
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Math. Comp. 60 (1993), 531-543
- MSC: Primary 65N30; Secondary 76D05, 76M10
- DOI: https://doi.org/10.1090/S0025-5718-1993-1164127-6
- MathSciNet review: 1164127