The application of domain decomposition methods to this family of partial differential equations;
shows various interesting aspects. Such methods allow a simplification of the geometry and a reduction of the size of the problems;
and the use of different physical models and numerical methods on different subdomains. Furthermore domain decomposition methods are easily parallelizable and allow * This research was carried out while the author was visiting the Group of Applied Mathematics and Simulation of CRS4;
and was supported by Sardinian Regional Authorities;