On the selection of primal unknowns for a FETI-DP formulation of the Stokes problem in two dimensions

Cited 5 time in webofscience Cited 0 time in scopus
  • Hit : 401
  • Download : 0
Selection of primal unknowns is important in convergence of FETI-DP (dual-primal finite element tearing and interconnecting) methods, which are known to be the most scalable dual iterative substructuring methods. A FETI-DP algorithm for the Stokes problem without primal pressure unknowns was developed and analyzed by Kim et al. (2010) [1]. Only the velocity unknowns at the subdomain vertices are selected to be the primal unknowns and convergence of the algorithm with a lumped preconditioner is determined by the condition number bound C(H/h)(1 + log(H/h)), where H/h is the number of elements across subdomains. In this work, primal unknowns corresponding to the averages on edges are introduced and a better condition number bound C(H/h) is proved for such a selection of primal unknowns. Numerical results are included. (C) 2010 Elsevier Ltd. All rights reserved.
Publisher
PERGAMON-ELSEVIER SCIENCE LTD
Issue Date
2010-12
Language
English
Article Type
Article
Citation

COMPUTERS & MATHEMATICS WITH APPLICATIONS, v.60, no.12, pp.3047 - 3057

ISSN
0898-1221
DOI
10.1016/j.camwa.2010.09.065
URI
http://hdl.handle.net/10203/98569
Appears in Collection
MA-Journal Papers(저널논문)
Files in This Item
There are no files associated with this item.
This item is cited by other documents in WoS
⊙ Detail Information in WoSⓡ Click to see webofscience_button
⊙ Cited 5 items in WoS Click to see citing articles in records_button

qr_code

  • mendeley

    citeulike


rss_1.0 rss_2.0 atom_1.0