Convergence of the domain decomposition finite element-boundary element coupling methods

摘要

In this work, we analyze three available domain decomposition methods. We also establish the convergence con- ditions. The theoretical analysis provides an interval in which a relaxation parameter has to be chosen in order to achieve convergence. Moreover, it allows the selection of the relaxation parameter so that convergence is achieved with the minimum number of iterations. Several example problems are given for elaboration.