# Weak imposition of boundary conditions for the Navier-Stokes equations

@article{aglar2004WeakIO, title={Weak imposition of boundary conditions for the Navier-Stokes equations}, author={Atife Çaglar}, journal={Applied Mathematics and Computation}, year={2004}, volume={149}, pages={119-145} }

- Published 2004 in Applied Mathematics and Computation
DOI:10.1016/S0096-3003(02)00960-8

We prove the convergence of a finite element method for the NavierStokes equations in which the no-slip condition, u ·τ i = 0 on Γ for i = 1, 2 is imposed by a penalty method and the no-penetration condition, u·n = 0 on Γ, is imposed by Lagrange multipliers. This approach has been studied for the Stokes problem in [2]. In most flows the Reynolds number is not This work partially supported by NSF grants DMS9972622, INT9814115, and INT9805563. atcst11@pitt.edu, http://www.math.pitt.edu/∼atife

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