Advertisement
Published in:
2005 | OriginalPaper | Chapter
A FETI-DP Formulation for Two-dimensional Stokes Problem on Nonmatching Grids
Authors : Hyea Hyun Kim, Chang-Ock Lee
Published in: Domain Decomposition Methods in Science and Engineering
Publisher: Springer Berlin Heidelberg
Activate our intelligent search to find suitable subject content or patents.
Select sections of text to find matching patents with Artificial Intelligence. powered by
Select sections of text to find additional relevant content using AI-assisted search. powered by
We consider a FETI-DP formulation of the Stokes problem with mortar methods. To solve the Stokes problem correctly and efficiently, redundant continuity constraints are introduced. Lagrange multipliers corresponding to the redundant constraints are treated as primal variables in the FETI-DP formulation. We propose a preconditioner for the FETI-DP operator and show that the condition number of the preconditioned FETI-DP operator is bounded by
C
max
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
C
is a constant independent of
H
i
and
h
i
.