A Neumann-Dirichlet preconditioner for a FETI-DP formulation of the two-dimensional Stokes problem with mortar methods

Cited 15 time in webofscience Cited 16 time in scopus
  • Hit : 722
  • Download : 466
A FETI-DP (dual-primal finite element tearing and interconnecting) formulation for the two- dimensional Stokes problem with mortar methods is considered. Separate sets of unknowns are used for velocity on interfaces, and the mortar constraints are enforced on the velocity unknowns by Lagrange multipliers. Average constraints on edges are further introduced as primal constraints to solve the Stokes problem correctly and to obtain a scalable FETI-DP algorithm. A Neumann Dirichlet preconditioner is shown to give a condition number bound, Cmax(i=1),...,N{(1 + log( H-i/ h(i)))(2)}, where H-i and h(i) are the subdomain size and the mesh size, respectively, and the constant C is independent of the mesh parameters H-i and h(i).
Publisher
SIAM PUBLICATIONS
Issue Date
2006
Language
English
Article Type
Article
Citation

SIAM JOURNAL ON SCIENTIFIC COMPUTING, v.28, no.3, pp.1133 - 1152

ISSN
1064-8275
DOI
10.1137/030601119
URI
http://hdl.handle.net/10203/8510
Appears in Collection
MA-Journal Papers(저널논문)
Files in This Item
000239701100016.pdf(212.45 kB)Download
This item is cited by other documents in WoS
⊙ Detail Information in WoSⓡ Click to see webofscience_button
⊙ Cited 15 items in WoS Click to see citing articles in records_button

qr_code

  • mendeley

    citeulike


rss_1.0 rss_2.0 atom_1.0