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Mixed hp-FEM on anisotropic meshes II: Hanging nodes and tensor products of boundary layer meshes

by D. Schötzau and Ch. Schwab and R. Stenberg

(Report number 1997-14)

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

@Techreport{SSS97_219,
  author = {D. Sch\"otzau and Ch. Schwab and R. Stenberg},
  title = {Mixed hp-FEM on anisotropic meshes II: Hanging nodes and tensor products of boundary layer meshes},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {1997-14},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports1997/1997-14.pdf },
  year = {1997}
}

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