Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4645749 | Applied Numerical Mathematics | 2010 | 19 Pages |
Abstract
It is known that the velocity vector for compressible Navier–Stokes flows with non-zero boundary conditions can be decomposed into a singular part and its regular one near each non-convex vertex of bounded polygonal domains. The singular part is a multiplication of the corner singularity (of the Laplace type) and the stress intensity factor. In this paper we consider a finite element scheme approximating the regular part and the stress intensity factor, show its unique existence of the discrete solution and derive an (nearly) optimal error estimate. Some numerical examples confirming these results are given.
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