In this talk, we will describe the advantages as well as the mathematical problems
in the use of domain decomposition methods to solve acoustic problems. We will begin
by reviewing some algorithms already developed. Specifically, a non-overlapping domain
decomposition method that combines boundary and finite element methods will be presented.
A suitable approach dealing with finite element nodes common to more than two subdomains,
the so-called cross-points, will be also presented. The second part of the talk will be dedicated
to a new approach that uses an overlapping domain decomposition technique with a local
adaptive radiation condition to solve problems where obstacles are composed of dielectric
(as antennas) and metal (as platforms such as fuselage of aircraft).
|