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Mixed hp - FEM on anisotropic meshes
1997
Mixed hp-FEM for incompressible uid ow on anisotropic meshes are analyzed. A discrete inf-sup condition is proved with a constant independent of the meshwidth and the aspect ratio. For each polynomial degree k 2, velocity-pressure subspace pairs are presented which are stable on quadrilateral mesh-patches, independently of the element aspect ratio implying in particular divergence stability on the so-called Shishkin-meshes. Moreover, the inf-sup constant is shown to depend on the spectral order
doi:10.3929/ethz-a-004284618
fatcat:z3nfj2jvrjdtvdfsrscx3rfdi4