The LBB condition for the Taylor - Hood P 2 − P 1 and Scott - Vogelius P 2 − discP 1 element pairs in 2 - D

نویسنده

  • V. J. Ervin
چکیده

In this article we apply the Stenberg criteria to show that the Taylor-Hood P2 − P1 and the Scott-Vogelius P2 − discP1 element pairs satisfy the LBB condition in IR. The Taylor-Hood P2 − P1 pair is shown to be stable on a regular triangulation of the domain. For the ScottVogelius P2−discP1 element pair the mesh is assumed to be a barycenter refinement of a regular triangulation.

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تاریخ انتشار 2011