TY - JOUR
T1 - The Mortar Element Method with Lagrange Multipliers for Stokes Problem
AU - Y. Q. Jiang
JO - Numerical Mathematics, a Journal of Chinese Universities
VL - 4
SP - 328
EP - 340
PY - 2007
DA - 2007/11
SN - 16
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/nm/10062.html
KW - 
AB - 
In this paper, we propose a mortar element method with Lagrange
multiplier  for incompressible Stokes problem, i.e., the matching
constraints of velocity on mortar edges are expressed in terms of
Lagrange multipliers. We also present $P_1$ nonconforming element
attached to the subdomains. By proving inf-sup condition, we derive
optimal error estimates for velocity and pressure. Moreover, we
obtain satisfactory approximation for normal derivatives of the
velocity across the interfaces.