TITLE:
L∞-Error Estimate of Schwarz Algorithm for Noncoercive Variational Inequalities
AUTHORS:
Samira Saadi, Allaoua Mehri
KEYWORDS:
Variational Inequalities; Schwarz Method; Subsolutions; L∞-Error Estimates
JOURNAL NAME:
Applied Mathematics,
Vol.5 No.3,
February
17,
2014
ABSTRACT:
The
Schwarz method for a class of elliptic variational inequalities with
noncoercive operator was studied in this work. The author proved the error
estimate in L∞-norm
for two domains with overlapping nonmatching grids using the geometrical
convergence of solutions and the uniform convergence of subsolutions.