Research reports

Years: 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995 1994 1993 1992 1991

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}
}

Disclaimer
© Copyright for documents on this server remains with the authors. Copies of these documents made by electronic or mechanical means including information storage and retrieval systems, may only be employed for personal use. The administrators respectfully request that authors inform them when any paper is published to avoid copyright infringement. Note that unauthorised copying of copyright material is illegal and may lead to prosecution. Neither the administrators nor the Seminar for Applied Mathematics (SAM) accept any liability in this respect. The most recent version of a SAM report may differ in formatting and style from published journal version. Do reference the published version if possible (see SAM Publications).