id: 01631022
dt: j
an: 01631022
au: Liu, Jinzhao; Liang, Guoping; Hu, Qiya
ti: The explicit scheme of Lagrangian multiplier domain decomposition method
    dependent on time.
so: Chin. J. Numer. Math. Appl. 23, No.2, 85-98 (2001); translation from Math.
    Numer. Sin. 23, No.1, 95-105 (2001).
py: 2001
pu: Allerton Press, New York, NY
la: EN
cc: 
ut: non-matching grids; Lagrange multiplier; domain decomposition; explicit
    scheme; Uzawa algorithm; condition number
ci: 
li: 
ab: Summary: We introduce and study an explicit scheme of the Lagrangian
    multiplier domain decomposition method dependent on time. The Uzawa
    algorithm is introduced to solve the interior displacement variables
    and the boundary multiplier variables. It is shown shown that the
    condition number of the stiffness matrix of the Lagrangian multiplier
    has a constant bound, i.e. $O(1)$. Numerical experiments indicate that
    the method is very efficient.
rv: