Abstract: In recent years, a nonoverlapping domain decomposition iterative
procedure, which is based on using Robin-type boundary conditions
as information transmission conditions on the subdomain
interfaces, has been developed and analyzed. The idea of employing
Robin-type boundary conditions as interface conditions was first
proposed by P.L. Lions. It is known that the convergence rate of
this method is , where
is mesh size. In this talk, the
convergence rate will be improved to
in
certain case by choosing suitable parameter, where
is the
subdomain size. Counter examples will be constructed to show that
our convergence estimates are sharp, which means that the
convergence rate cannot be better than
in general no matter how parameter is chosen.
This seminar is easily accessible to persons with disabilities. For more information or for assistance, please contact the Mathematics Department at 743-3500.