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Convergence of the method of successive approximations with split boundary conditions when solving the boundary value problem for the Navier-Stokes equations

✍ Scribed by B.V. Pal'tsev

Publisher: Elsevier Science
Year: 1970
Weight: 256 KB
Volume: 10
Category: Article
ISSN: 0041-5553
DOI: 10.1016/0041-5553(70)90135-7

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## Abstract We prove convergence of the finite element method for the Navier–Stokes equations in which the no‐slip condition and no‐penetration 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