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Report 1997-14
Mixed hp-FEM on anisotropic meshes II: Hanging nodes and tensor products of boundary layer meshes
D. Schötzau, C. Schwab and R. Stenberg
Abstract: Divergence stability of mixed hp-FEM for incompressible fluid flow for a general class of possibly highly irregular meshes is shown. The meshes may be refined anisotropically and contain hanging nodes on geometric patches. The inf-sup constant is independent of the aspect ratio of the elements and the dependence on the polynomial degree is given explicitly. Numerical estimates of inf-sup constants confirm our results.
Keywords: hp-Finite Elements, Mixed FEM, anisotropic meshes, tensor product meshes, hanging nodes
Paper: Available as PDF (421 KB) or as hardcopy to order reports@sam.math.ethz.ch.
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