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

Dual-Primal FETI algorithms for edge element approximations: Two-dimensional h and p finite elements on shape-regular meshes

by A. Toselli and X. Vasseur

(Report number 2004-01)

Abstract
A family of dual-primal FETI methods for edge element approximations in two dimensions is proposed and analyzed. The primal constraints are here averages over subdomain edges. It is shown that the condition number of the corresponding method is independent of the number of substructures and grows only polylogarithmically with the number of unknowns associated with individual substructures. The estimate is also independent of the jumps of both of the coefficients of the original problem. Numerical results validating our theoretical bounds are given.

Keywords: Edge elements, Maxwell's equations, finite elements, spectral elements, domain decomposition, FETI, preconditioners, heterogeneous coefficients

@Techreport{TV04_329,
  author = {A. Toselli and X. Vasseur},
  title = {Dual-Primal FETI algorithms for edge element approximations: Two-dimensional h and p finite elements on shape-regular meshes},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {2004-01},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports2004/2004-01.pdf },
  year = {2004}
}

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).