Abstract
Recent work shows that it is possible to enrich the Scott–Vogelius finite element pair by certain Raviart–Thomas functions to obtain an inf–sup stable and divergence-free method on general shape-regular meshes. A skew-symmetric consistency term was suggested for avoiding an additional stabilization term for higher order elements, but no L2(Ω) error estimate was shown for the Stokes equations. This note closes this gap. In addition, the optimal choice of the stabilization parameter is studied numerically.
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