A boundary multiplier/fictitious domain method for the steady incompressible Navier-Stokes equations

Citation
V. Girault et al., A boundary multiplier/fictitious domain method for the steady incompressible Navier-Stokes equations, NUMER MATH, 88(1), 2001, pp. 75-103
Citations number
22
Categorie Soggetti
Mathematics
Journal title
NUMERISCHE MATHEMATIK
ISSN journal
0029599X → ACNP
Volume
88
Issue
1
Year of publication
2001
Pages
75 - 103
Database
ISI
SICI code
0029-599X(200103)88:1<75:ABMDMF>2.0.ZU;2-#
Abstract
We analyze the error of a fictitious-domain method with boundary Lagrange m ultiplier. It is applied to solve a non-homogeneous steady incompressible N avier-Stokes problem in a domain with a multiply-connected boundary. The in terior mesh in the fictitious domain and the boundary mesh are independent, up to a mesh-length ratio.