IAN-CNR Report N. 1037
Stabilization Techniques for Domain Decomposition Methods
with Non-Matching Grids
F. Brezzi, L. P. Franca, D. Marini, A. Russo
The Dirichlet problem with Lagrange multipliers is a common
ingredient in domain decomposition methods with non-matching grids. We
propose a new way of stabilizing it by means of bubble functions on the
boundary. Static condensation allows the elimination of both bubbles and
Lagrange multipliers, leading to a simple variant of Nitsche's scheme.
Authors' address:
brezzi@ian.pv.cnr.it,
marini@ian.pv.cnr.it,
lfranca@math.cudenver.edu,
russo@ian.pv.cnr.it,