The penalty method for the Navier-Stokes equations
β Scribed by J. C. Heinrich; C. A. Vionnet
- Book ID
- 112933092
- Publisher
- Springer Netherlands
- Year
- 1995
- Tongue
- English
- Weight
- 321 KB
- Volume
- 2
- Category
- Article
- ISSN
- 1134-3060
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## Abstract We prove convergence of the finite element method for the NavierβStokes equations in which the noβslip condition and noβpenetration condition on the flow boundary are imposed via a penalty method. This approach has been previously studied for the Stokes problem by Liakos (Weak impositio
Continuation techniques are used 10 solve a penalty finite element approximation of the Navier-Stokes equations. Sufficient conditions are given for convergence of the Euler-Newton continuation method in a Reynolds parameter to an isolated solution of the finite clement problem. Numerical results ar